67 + Mcqs in LIC AAO Page 1 McqOptions

1.	Reshma bought a hand bag for Rs. 2500. Later she marked up its price by 15% and she sold it at a discount of 6%. What is percentage profit earned by Reshma on this transaction?
A.	9%
B.	8.8%
C.	9.25%
D.	8.1%
E.	None of these
Answer» E. None of these

Discussion

2.	In how many different ways can the letters of the word ‘OPTICAL’ be arranged so that be the vowels always come together?
A.	48
B.	120
C.	540
D.	720
E.	None of these
Answer» E. None of these

Discussion

3.	In a city, 85% of the people use mobile phones. 60% of the mobile phone users use smartphones and 75% of the smartphones are 3G whereas only 20% of non-smartphones are 3G. If there are 120000 phones which are 3G phones, then what is the approximate population of the city?
A.	266370
B.	243800
C.	368980
D.	286402
E.	None of these
Answer» B. 243800

Discussion

4.	A shopkeeper gives a discount of 10% on the marked price and then charges sales tax on the amount obtained. He charges a % sales tax up to Rs. 5000 and b% tax for orders with marked price more than Rs. 5000. If a customer pays Rs. 180 as sales tax when he purchases goods worth Rs. 4000 marked price, and Rs. 189 when he purchases goods worth Rs. 7000 as marked price, find the value of (a + b).
A.	6
B.	7
C.	8
D.	9
E.	None of these
Answer» D. 9

Discussion

5.	Ranu and Bhanu can separately do a piece of work in 18 days and 12 days respectively. They worked together for 6 days, after which Bhanu was replaced by Shivam. If the work was finished in next 2 days, then what is the number of days in which Shivam alone can do the work?
A.	28 days
B.	36 days
C.	20 days
D.	24 days
E.	None of these
Answer» C. 20 days

Discussion

6.	The average weight of 60% students of a class is 50% more than the remaining students. There are 25 students in the class. What is the total weight of the class if the average weight of the 60% students is 60 kg?
A.	1200 kg
B.	1300 kg
C.	1400 kg
D.	1500 kg
E.	None of these
Answer» C. 1400 kg

Discussion

7.	Inside a rectangular ground of dimensions 40m × 50m, a circular area of radius 14m is demarcated to install a ride. The remaining area is to be covered in tiles. If the cost of laying tiles is rupees 50 square meter, what is the total cost of laying tiles?..
A.	Rs. 56460
B.	Rs. 64320
C.	Rs. 56800
D.	Rs. 69200
E.	None of these
Answer» E. None of these

Discussion

8.	Ratio of present age of X & Y is 4 : 3. At the time X & Y got married this ratio was 5 : 3. After 4 years this ratio became 9 : 7. How many years ago did X & Y got married?
A.	8
B.	12
C.	11
D.	16
E.	None of these
Answer» C. 11

Discussion

9.	A certain bank offers 8% rate of interest on the 1st year and 9% on the 2nd year in a certain fixed deposit scheme. If Rs. 2943 are received after investing for 2 years in this scheme, then what was the amount (in Rs) invested?
A.	1200
B.	1500
C.	2500
D.	2000
E.	1667.67
Answer» D. 2000

Discussion

10.	Rs. 160000 is divided into two equal parts. One part is invested in a scheme which gives 12% interest compounded annually for two years. The other part is invested in a scheme offering simple interest of 13% for 2 years. What is the difference between the interest earned on the two schemes?
A.	Rs. 512
B.	Rs. 426
C.	Rs. 448
D.	Rs. 568
E.	None of these
Answer» D. Rs. 568

Discussion

11.	A card is drawn from a perfectly shuffled deck of cards. What is the probability that the card drawn is a spade and is an even numbered card?
A.	16 52
B.	4 13
C.	Both A and B
D.	1 13
E.	None of these
Answer» F.

Discussion

12.	Mukund buys 5 watches at the rate of Rs. 5000 each. He then sells them separately at the profit of 10%, 20%, 30%, 40% and 50%. He then buys an expensive watch investing the profit he earned by selling watches, marks it up 50% and offer discounts of 20%. What is the total profit earned by Mukund?
A.	Rs. 7000
B.	Rs. 7500
C.	Rs. 8000
D.	Rs. 9000
E.	None of these
Answer» E. None of these

Discussion

13.	In the village of Rampur, the percentage of female population in the total population is 55%. The number of people who possess sheep as cattle is 44. Out of the sheep owners, 3/4th are female. If out of the total female population, only 25% women own sheep. What is the total population of Rampur?
A.	250
B.	280
C.	300
D.	240
E.	None of these
Answer» E. None of these

Discussion

14.	The average of 12 numbers is 14. If four numbers 7, 8, 13, and 14 are replaced by 3 numbers having average of 12. What is the difference between the averages of initial numbers and final numbers?
A.	0.52
B.	0.34
C.	0.85
D.	0.72
E.	None of these
Answer» E. None of these

Discussion

15.	A box contain 4 violet pens, 5 green pens and 6 white pens. A pen is drawn at random from the box. What is the probability that the pen drawn is either violet or green?
A.	2 5
B.	3 5
C.	1 5
D.	7 5
E.	None of these
Answer» C. 1 5

Discussion

16.	The radii of two cones are equal. If their slant height be in the ratio 7 : 8, what is the ratio of their Curved Surface Areas?
A.	49 : 64
B.	64 : 49
C.	7 : 8
D.	Can't be determined
E.	None of these
Answer» D. Can't be determined

Discussion

17.	A Man is running in a tunnel at a speed of 20m/s and he takes 10 minutes to cross the tunnel. When he is halfway through the tunnel, a car enters the tunnel in the direction he is running. Both of them reached the end of the tunnel together. What is the speed of the car?
A.	25 m/s
B.	30 m/s
C.	40 m/s
D.	80 m/s
E.	Data insufficient
Answer» D. 80 m/s

Discussion

18.	A wholesaler allows a discount of 20% on the list price to a retailer. The retailer sells at 10% discount on the list price. If the customer paid Rs 108 for an article, what profit is made by the retailer?
A.	Rs. 15
B.	Rs. 10
C.	Rs. 16
D.	Rs. 12
E.	None of these
Answer» E. None of these

Discussion

19.	A regular hexagon is inscribed in a circle having circumference 176 cm. Find the area uncommon to the circle and hexagon (in cm2)
A.	500
B.	427
C.	335
D.	298
E.	361
Answer» C. 335

Discussion

20.	The sum of the ages of Aliya, Rohini, Aruna and Manvi is 106 years. Two years ago, Rohini was thrice as old as Aruna and three years later, Aliya will be thrice as old as Manvi. What will be the sum of the ages of Aruna and Manvi, four years hence?
A.	46 years
B.	38 years
C.	34 years
D.	50 years
E.	None of these
Answer» D. 50 years

Discussion

21.	A box has a total of 84 bottles of red, yellow and blue color. If the red color bottles are twice the yellow color bottles and blue color bottles are one fourth of the red color bottles, how many yellow color bottles are present in the box?
A.	20
B.	22
C.	18
D.	24
E.	None of these
Answer» E. None of these

Discussion

22.	There are three groups A, B and C. The average of group A is 93. The average of group B is 86. The average of group C is 95. The average of group A and B is 89, the average of group B and C is 91. Find the average of the three groups?
A.	93
B.	97
C.	86.5
D.	91.5
E.	None of these
Answer» E. None of these

Discussion

23.	There are 5 black, 5 blue, 5 red and 5 green T-shirts and all T-shirts of same colours are same in all aspects. What is the probability of selecting 5 T-shirts of 2 colours only?
A.	3 7
B.	2 7
C.	1 7
D.	5 7
E.	None of these
Answer» B. 2 7

Discussion

24.	An RRB mock test is conducted in three batches A, B, C of a class. The average marks of batch A are 42, that of batch B are 50 and that of batch C are 62. The average marks of batches A and B combined are 45 and that of batches B and C combined are 55. What are the average marks of all three batches combined?
A.	51.50
B.	52
C.	54
D.	48.60
E.	None of these
Answer» E. None of these

Discussion

25.	From the July 1, the government of India has changed the method of calculating the tax amount from a flat tax of 10% on the taxable income to a fixed charge of Rs. 20,000 plus 5% tax on the taxable income exceeding Rs. 2,00,000. If an individual’s tax amount as per the new calculation is Rs. 5,000 less than that found by using the old formula, what is his taxable income?
A.	Rs. 288000
B.	Rs. 292000
C.	Rs. 300000
D.	Rs. 278000
E.	None of these
Answer» D. Rs. 278000

Discussion

26.	A father distributes his monthly income among his four sons A, B, C and D in the proportion 7 : 2 : 3 : 4 respectively. If the sum of the amount received by B and C is 550 more than the amount received by D, then what is the total income of the father if the ratio of the amount distributed by him to his total income is 2 : 7?
A.	30800
B.	41200
C.	36800
D.	31400
E.	None of these
Answer» B. 41200

Discussion

27.	Two swimmers Ankita and Anamika are swimming in a stream, heading towards each other. When they started swimming the distance between them was 35 kms. The speed of stream is 5 km/hr, the speed of each of the swimmer is 15 km/hr. Find the time taken by them to meet each other.
A.	70 min
B.	61 min.
C.	58 min.
D.	102 min.
E.	None of these
Answer» B. 61 min.

Discussion

28.	A man is 3 times faster than a woman to finish a certain piece of work. If a woman can finish the work in 20 minutes, then how long will it take to finish the work if both man and woman start working together?
A.	8 minutes
B.	5 minutes
C.	10 minutes
D.	Can't be determined
E.	None of these
Answer» C. 10 minutes

Discussion

29.	A man swimming downstream covers a distance of 30 km in 2 hours. When he swims back, he takes 6 hours to cover the same distance. If the speed of the current is half that of the man, what is the speed of the man? (in km/h)
A.	15
B.	28
C.	5
D.	20
E.	None of these
Answer» F.

Discussion

30.	The probability that Arjun hits the fish’s eye in one try is 1/2. How many tries does he need so that the probability of hitting the fish’s eye atleast once is 0.9 ?
A.	4
B.	3
C.	2
D.	1
E.	None of these
Answer» B. 3

Discussion

31.	The average weight of employees of a company is 72.5 kg while the weight of their immediate senior is 66.66% less than the average weight of the employees. If the weight of immediate senior is x kg, what is the total weight of the employees?
A.	2.25x
B.	6x
C.	4.5x
D.	Can't be determined
E.	None of these
Answer» E. None of these

Discussion

32.	Wangdu purchased 20 identical items from a wholesaler. He marked the price of each item at 110% of the cost price. However, on Diwali, he gave a discount of 10% to all customers. Phunshuk bought 2 items at Rs. 396 on Diwali. What was the marked price of each item? (Assume that Wangdu sells only these 20 items.)
A.	Rs. 400
B.	Rs. 200
C.	Rs. 220
D.	Rs. 440
E.	None of these
Answer» D. Rs. 440

Discussion

33.	A train can cross a platform of equal length in 5 minutes. It can cross a man running in the direction of the train with the speed of 2m/s in 7 minutes. Find the speed of the train(in km/h).
A.	10.8
B.	25
C.	7
D.	11.2
E.	None of these
Answer» E. None of these

Discussion

34.	A man gave 50% of his savings of Rs. 168200 to his wife and divided the remaining sum among his sons Gautam and Gambhir whose ages are 15 years and 13 years respectively. He divided it in such a way that each of his sons who invested the individual sum at 5% compound interest rate per annum, would receive the same amount when they attain the age of 18 years. The share of Gambhir was:
A.	Rs. 42050
B.	Rs. 40000
C.	Rs. 45000
D.	Rs. 45500
E.	None of these
Answer» C. Rs. 45000

Discussion

35.	A man rows to a place 46 km distance and back in 11 hours 30 minutes. He found that he can row 5 km with the stream in the same time as he can row 4 km against the stream. Find the rate of the stream.
A.	0.6 km/hrs.
B.	0.7 km/hrs.
C.	0.8 km/hrs.
D.	0.9 km/hrs.
E.	None of these
Answer» E. None of these

Discussion

36.	20 boys complete a work in 16 days and 25 girls can complete the same work in 18 days. 8 boys and 15 girls started the work together. They worked for some number of days. After they left the work, 48 children joined the work and complete the work in 4 days. If efficiency of 1 boy is double the efficiency of 1 child, how many days they took to complete the whole work?
A.	16
B.	18
C.	20
D.	22
E.	None of these
Answer» B. 18

Discussion

37.	The maximum amount of drugs that can be dissolved into 100g of water is 25g. If any more quantity of drug is added it remains undissolved and gets settled down. Now, water is evaporated at the rate of 28 g/h from 1kg of the mixture which contains 4% drug. Approximately after how long will it start depositing at the base?
A.	15 h
B.	23 h
C.	29 h
D.	35 h
E.	None of these
Answer» D. 35 h

Discussion

38.	The ratio of 80% of a number to the 60% of the same number formed by reversing its digits is 128:69. If the sum of digits of the number is 10 then find the number.
A.	73
B.	37
C.	82
D.	64
E.	55
Answer» E. 55

Discussion

39.	Mohan, Sohan and Sunil enter into a partnership with a capital in which Mohan's contribution is Rs. 17400. If out of a total profit of Rs. 1500, Mohan gets Rs. 750 and Sohan gets Rs. 500, then Sohan's capital is?
A.	Rs. 11600
B.	Rs. 5800
C.	Rs. 12600
D.	Rs. 6300
E.	None of these
Answer» B. Rs. 5800

Discussion

40.	The average weight of 10 persons was increased by 2.5 kg when Ram comes in place of Mohan but if Sohan comes in place of Mohan then the average weight of the 10 persons was increased by 3.5 kg. If the weight of Mohan is 55 kg then what is the average weight of Ram, Mohan, and Sohan?
A.	65 kg
B.	70 kg
C.	75 kg
D.	80 kg
E.	None of these
Answer» D. 80 kg

Discussion

41.	Four Onion and four potato are kept in a box. A boy picks out two things from the box at random. Find the probability that one is Onion and another one is Potato?
A.	2 7
B.	5 7
C.	3 7
D.	4 7
E.	None of these
Answer» E. None of these

Discussion

42.	Two persons, A and B can complete a piece of work in 21 days and the respective ratio of A’s and B’s efficiency is 2: 1. If A work at 37.5% more than his efficiency and B work at 25% less than his efficiency then in how many days can they complete the same piece of work?
A.	16 days
B.	17 days
C.	20 days
D.	19 days
E.	None of these
Answer» F.

Discussion

43.	A sum of money becomes 5 times of itself in 25 years at simple interest. If Rs. 12500 was invested at the same rate of interest for two years, compounded annually then what would have been the compound interest?
A.	Rs. 4320
B.	Rs. 4325
C.	Rs. 4330
D.	Rs. 4350
E.	None of these
Answer» B. Rs. 4325

Discussion

44.	The respective ratio of milk and water in a solution is 7 : 9. After adding 8 litres another solution in which concentration of milk is 50%, the respective ratio of milk and water becomes 4 : 5. Find the original quantity of milk present in the solution?
A.	28 litres
B.	35 llters
C.	56 litres
D.	21 litres
E.	None of these
Answer» B. 35 llters

Discussion

45.	At present, the respective ratio of the sum and the difference of the age of son and grandfather is 5 : 4. Five years later, the respective ratio of the age of son and grandfather becomes 1 : 5. What is the difference between the age of grandfather and that of son?
A.	50 years
B.	45 years
C.	42 years
D.	48 years
E.	None of these
Answer» F.

Discussion

46.	At 9 : 00 PM Rajdhani express leaves Delhi for Patna at the rate of 96 km/hr. At 11 : 00 PM on the same day Shatabdi express leaves Patna for Delhi at the rate of 49 km/hr. At what time both the train will collide? (it is given that the distance between Delhi and Patna is 540 km and both the trains are running on the same track)
A.	01 : 24 AM
B.	02 : 30 AM
C.	00 : 48 AM
D.	01 : 48 AM
E.	None of these
Answer» B. 02 : 30 AM

Discussion

47.	A person lends some money at 8% per annum simple interest for three years. At the end of third year, he receives Rs. 250 as interest. How much more money (approximately) he would have received if the rate of interest were 12% per annum compounded annually?
A.	Rs. 172
B.	Rs. 162
C.	Rs. 152
D.	Rs. 192
E.	Rs. 182
Answer» B. Rs. 162

Discussion

48.	Rinku bought a number of mangoes at Rs. 30 for one mango and the same number of other variety of mangoes at Rs. 50 for one mango. If he wants to gain a profit of 16.67% on the average price of both the varieties of mango then at what price per mango should he sell? (approximately)
A.	Rs. 46.67
B.	Rs. 48.50
C.	Rs. 40
D.	Rs. 42
E.	Rs. 47.33
Answer» B. Rs. 48.50

Discussion

49.	In a town males and females are in the ratio 3 : 2. Out of males 25% are children and rest are adults. If the adult male population of the town is 8100, find the total population of the town .
A.	22000
B.	24000
C.	20000
D.	18000
E.	None of these
Answer» E. None of these

Discussion

50.	A dealer incurred a loss of 20%, when he allowed a discount of 25% on marked price of an article. Then what per cent discount should he allow on the marked price so as to gain Rs. 900 on the article, if the marked price of the article is Rs. 40,000?
A.	5%
B.	7%
C.	6%
D.	3%
E.	None of these
Answer» F.

Discussion

Explore topic-wise MCQs in Mixed Quant Quizzes.

Reshma bought a hand bag for Rs. 2500. Later she marked up its price by 15% and she sold it at a discount of 6%. What is percentage profit earned by Reshma on this transaction?

In how many different ways can the letters of the word ‘OPTICAL’ be arranged so that be the vowels always come together?

In a city, 85% of the people use mobile phones. 60% of the mobile phone users use smartphones and 75% of the smartphones are 3G whereas only 20% of non-smartphones are 3G. If there are 120000 phones which are 3G phones, then what is the approximate population of the city?

Ranu and Bhanu can separately do a piece of work in 18 days and 12 days respectively. They worked together for 6 days, after which Bhanu was replaced by Shivam. If the work was finished in next 2 days, then what is the number of days in which Shivam alone can do the work?

The average weight of 60% students of a class is 50% more than the remaining students. There are 25 students in the class. What is the total weight of the class if the average weight of the 60% students is 60 kg?

Inside a rectangular ground of dimensions 40m × 50m, a circular area of radius 14m is demarcated to install a ride. The remaining area is to be covered in tiles. If the cost of laying tiles is rupees 50 square meter, what is the total cost of laying tiles?..

Ratio of present age of X &amp; Y is 4 : 3. At the time X &amp; Y got married this ratio was 5 : 3. After 4 years this ratio became 9 : 7. How many years ago did X &amp; Y got married?

A certain bank offers 8% rate of interest on the 1st year and 9% on the 2nd year in a certain fixed deposit scheme. If Rs. 2943 are received after investing for 2 years in this scheme, then what was the amount (in Rs) invested?

Rs. 160000 is divided into two equal parts. One part is invested in a scheme which gives 12% interest compounded annually for two years. The other part is invested in a scheme offering simple interest of 13% for 2 years. What is the difference between the interest earned on the two schemes?

A card is drawn from a perfectly shuffled deck of cards. What is the probability that the card drawn is a spade and is an even numbered card?

Mukund buys 5 watches at the rate of Rs. 5000 each. He then sells them separately at the profit of 10%, 20%, 30%, 40% and 50%. He then buys an expensive watch investing the profit he earned by selling watches, marks it up 50% and offer discounts of 20%. What is the total profit earned by Mukund?

In the village of Rampur, the percentage of female population in the total population is 55%. The number of people who possess sheep as cattle is 44. Out of the sheep owners, 3/4th are female. If out of the total female population, only 25% women own sheep. What is the total population of Rampur?

The average of 12 numbers is 14. If four numbers 7, 8, 13, and 14 are replaced by 3 numbers having average of 12. What is the difference between the averages of initial numbers and final numbers?

A box contain 4 violet pens, 5 green pens and 6 white pens. A pen is drawn at random from the box. What is the probability that the pen drawn is either violet or green?

The radii of two cones are equal. If their slant height be in the ratio 7 : 8, what is the ratio of their Curved Surface Areas?

A Man is running in a tunnel at a speed of 20m/s and he takes 10 minutes to cross the tunnel. When he is halfway through the tunnel, a car enters the tunnel in the direction he is running. Both of them reached the end of the tunnel together. What is the speed of the car?

A wholesaler allows a discount of 20% on the list price to a retailer. The retailer sells at 10% discount on the list price. If the customer paid Rs 108 for an article, what profit is made by the retailer?

A regular hexagon is inscribed in a circle having circumference 176 cm. Find the area uncommon to the circle and hexagon (in cm2)

The sum of the ages of Aliya, Rohini, Aruna and Manvi is 106 years. Two years ago, Rohini was thrice as old as Aruna and three years later, Aliya will be thrice as old as Manvi. What will be the sum of the ages of Aruna and Manvi, four years hence?

A box has a total of 84 bottles of red, yellow and blue color. If the red color bottles are twice the yellow color bottles and blue color bottles are one fourth of the red color bottles, how many yellow color bottles are present in the box?

There are three groups A, B and C. The average of group A is 93. The average of group B is 86. The average of group C is 95. The average of group A and B is 89, the average of group B and C is 91. Find the average of the three groups?

There are 5 black, 5 blue, 5 red and 5 green T-shirts and all T-shirts of same colours are same in all aspects. What is the probability of selecting 5 T-shirts of 2 colours only?

Two swimmers Ankita and Anamika are swimming in a stream, heading towards each other. When they started swimming the distance between them was 35 kms. The speed of stream is 5 km/hr, the speed of each of the swimmer is 15 km/hr. Find the time taken by them to meet each other.

A man is 3 times faster than a woman to finish a certain piece of work. If a woman can finish the work in 20 minutes, then how long will it take to finish the work if both man and woman start working together?

A man swimming downstream covers a distance of 30 km in 2 hours. When he swims back, he takes 6 hours to cover the same distance. If the speed of the current is half that of the man, what is the speed of the man? (in km/h)

The probability that Arjun hits the fish’s eye in one try is 1/2. How many tries does he need so that the probability of hitting the fish’s eye atleast once is 0.9 ?

The average weight of employees of a company is 72.5 kg while the weight of their immediate senior is 66.66% less than the average weight of the employees. If the weight of immediate senior is x kg, what is the total weight of the employees?

A train can cross a platform of equal length in 5 minutes. It can cross a man running in the direction of the train with the speed of 2m/s in 7 minutes. Find the speed of the train(in km/h).

A man rows to a place 46 km distance and back in 11 hours 30 minutes. He found that he can row 5 km with the stream in the same time as he can row 4 km against the stream. Find the rate of the stream.

The ratio of 80% of a number to the 60% of the same number formed by reversing its digits is 128:69. If the sum of digits of the number is 10 then find the number.

Mohan, Sohan and Sunil enter into a partnership with a capital in which Mohan's contribution is Rs. 17400. If out of a total profit of Rs. 1500, Mohan gets Rs. 750 and Sohan gets Rs. 500, then Sohan's capital is?

The average weight of 10 persons was increased by 2.5 kg when Ram comes in place of Mohan but if Sohan comes in place of Mohan then the average weight of the 10 persons was increased by 3.5 kg. If the weight of Mohan is 55 kg then what is the average weight of Ram, Mohan, and Sohan?

Four Onion and four potato are kept in a box. A boy picks out two things from the box at random. Find the probability that one is Onion and another one is Potato?

Two persons, A and B can complete a piece of work in 21 days and the respective ratio of A’s and B’s efficiency is 2: 1. If A work at 37.5% more than his efficiency and B work at 25% less than his efficiency then in how many days can they complete the same piece of work?

A sum of money becomes 5 times of itself in 25 years at simple interest. If Rs. 12500 was invested at the same rate of interest for two years, compounded annually then what would have been the compound interest?

The respective ratio of milk and water in a solution is 7 : 9. After adding 8 litres another solution in which concentration of milk is 50%, the respective ratio of milk and water becomes 4 : 5. Find the original quantity of milk present in the solution?

At present, the respective ratio of the sum and the difference of the age of son and grandfather is 5 : 4. Five years later, the respective ratio of the age of son and grandfather becomes 1 : 5. What is the difference between the age of grandfather and that of son?

A person lends some money at 8% per annum simple interest for three years. At the end of third year, he receives Rs. 250 as interest. How much more money (approximately) he would have received if the rate of interest were 12% per annum compounded annually?

Rinku bought a number of mangoes at Rs. 30 for one mango and the same number of other variety of mangoes at Rs. 50 for one mango. If he wants to gain a profit of 16.67% on the average price of both the varieties of mango then at what price per mango should he sell? (approximately)

In a town males and females are in the ratio 3 : 2. Out of males 25% are children and rest are adults. If the adult male population of the town is 8100, find the total population of the town .

A dealer incurred a loss of 20%, when he allowed a discount of 25% on marked price of an article. Then what per cent discount should he allow on the marked price so as to gain Rs. 900 on the article, if the marked price of the article is Rs. 40,000?

Ratio of present age of X & Y is 4 : 3. At the time X & Y got married this ratio was 5 : 3. After 4 years this ratio became 9 : 7. How many years ago did X & Y got married?