3977 + Mcqs in Applied Mathematics in Mathematics Page 74 McqOptions

3651.	Q: A, B and C enter into partnership. A advances Rs. 1200 for 4 months, B Rs. 1400 for 8 months and C Rs. 1000 for 10 months. They gain Rs. 585 altogether. Find the share of each.
A.	Rs. 118, Rs. 242, Rs. 235
B.	Rs. 108, Rs. 252, Rs. 225
C.	Rs. 128, Rs. 242, Rs. 215
D.	Rs. 138, Rs. 262, Rs. 245
Answer» C. Rs. 128, Rs. 242, Rs. 215

Discussion

3652.	Q: A, B and C enter into a partnership. A invests Rs. 8000 for the whole year, B puts in Rs. 12000 at the first and increasing to Rs. 16000 at the end of 4 months, whilst C puts in at first Rs. 16000 but withdraw Rs. 4000 at the end of 9 months. Find the profit of A at the end of year, if the total profit is Rs. 22600.
A.	Rs. 4800
B.	Rs. 4600
C.	Rs. 4750
D.	Rs. 4300
E.	None of these
Answer» B. Rs. 4600

Discussion

3653.	Q: A, B and C enter into a partnership by investing their capitals in the ratio of $$ {2\over 5} : {3\over 4} : {5\over 8}$$. After 4 months, A increased his capital by 50%, but B decreased his capital by 20%. What is the share of B in the total profit of Rs. 2, 82, 100 at the end of a year.
A.	Rs. 83,200
B.	Rs. 97,500
C.	Rs. 1, 01, 400
D.	Rs. 1,00, 750
Answer» D. Rs. 1,00, 750

Discussion

3654.	Q: A, B and C enter into a partner ship with capitals in the ratio 5 : 6 :8. At the end of business term, they received the profits in the ratio 5 : 3 :12. Find the ratio of time for which they contributed their capitals?
A.	02:01:03
B.	01:02:03
C.	02:03:01
D.	03:02:01
Answer» B. 01:02:03

Discussion

3655.	Q: A, B and C contract a work for Rs. 550. Together A and B are to do 7/11 of the work. The share of C should be?
A.	$$ 7{3\over4}$$
B.	$$ 8{4\over5}$$
C.	$$ 9{3\over8}$$
D.	10
Answer» C. $$ 9{3\over8}$$

Discussion

3656.	Q: A, B and C complete a work in 10, 12 and 15 days respectively. They started the work together. But A left the work before 5 days of its completion. B also left the work 2 days after A left. In how many days will the work completed?
A.	5 days
B.	9 days
C.	7 days
D.	12 days
Answer» D. 12 days

Discussion

3657.	Q: A, B and C can do a work in 6, 12 and 24 days respectively. In what time will they finish the work while working together?
A.	$$ 3 {3\over7} $$days
B.	$$ 2 {3\over7} $$days
C.	$$ 4 {3\over7} $$days
D.	$$ 3 {3\over5} $$days
Answer» B. $$ 2 {3\over7} $$days

Discussion

3658.	Q: A, B and C can complete a piece of work in 24, 6 and 12 days respectively. Working together, they will complete the same work in
A.	$${1\over 4}days$$
B.	$${7\over 24}days$$
C.	$$3{3\over 7}days$$
D.	$$4 \ days$$
Answer» D. $$4 \ days$$

Discussion

3659.	Q: A, B and C can complete a piece of work in 10, 12, and 15 days respectively, They started the work together. But A left the work before 5 days of its completion. B also left the work 2 days after A left. In how many days was the work completed?
A.	4 days
B.	5 days
C.	7 days
D.	8 days
Answer» D. 8 days

Discussion

3660.	Q: A, B and C are employed to do a piece of work for Rs. 529. A and C are supposed to finished 19/23 of the work together. How much shall be paid to B?
A.	Rs. 82
B.	Rs 92
C.	Rs 300
D.	Rs 437
Answer» C. Rs 300

Discussion

3661.	Q: A, B, and C alone can do a work in 40 days ,120 days and 36 days respectively. A and B work together for 20 days and leave it incomplete. C carries on the work and complete it alone. How many days did C take to complete the work?
A.	18
B.	12
C.	20
D.	16
Answer» C. 20

Discussion

3662.	Q: A article is marked at Rs. 65 and a customer buys it for Rs. 56.16 and got two successive discount of 4% and k%. Find the value of k?
A.	0.05
B.	0.07
C.	0.1
D.	0.09
Answer» D. 0.09

Discussion

3663.	Q: A and B working together, can do a piece of work in $$ {4{1\over 2}}$$ hours. B and C working together can do it in 3 hours. C and A working together can do it in $$ {2{1\over 4}}$$ hours. All of them begin the work at the same time. Find how much time they will take to finish the piece of work?
A.	3 hours
B.	2 hours
C.	2.5 hours
D.	1 hours
E.	None of these
Answer» C. 2.5 hours

Discussion

3664.	Q: A and B under took a work Rs 2200. A alone can do the work in 10 days and B alone can do the work in 12 days. If they work together, then what will be the difference (in Rs) in the amount they receive?
A.	350
B.	250
C.	200
D.	300
Answer» D. 300

Discussion

3665.	Q: A and B together have ₹ 158. C has ₹101 less than what A and B together have, and B has ₹ 23 more than C. The amount of A is:
A.	80
B.	78
C.	57
D.	88
Answer» C. 57

Discussion

3666.	Q: A and B together can do a piece of work in 12 days which B and C together can do in 16 days. After A has been working at it for 5 days and B for 19 days, C finishes it in 7 days. In how many days B could finish the whole work?
A.	48 days
B.	24 days
C.	16 days
D.	12 day
Answer» B. 24 days

Discussion

3667.	Q: A and B together can plough a field in 10 hours but by himself A requires 15 hours. How long would B take to plough the same field?
A.	10 hours
B.	20 hours
C.	30 hours
D.	40 hours
Answer» D. 40 hours

Discussion

3668.	Q: A and B together can do a certain work in x days. Working alone, A and B can do the same work in (x+8) and (x+18) days, respectively. A and B together will complete $$ {5\over 6}$$ of the same work in;
A.	12 days
B.	8 days
C.	10 days
D.	9 days
Answer» D. 9 days

Discussion

3669.	Q: A and B together can complete a work in 35 days. If A works alone and completes 4/7 of that work and leaves the remaining work for B, thus if it takes 114 days to complete the work. So how many days will A, who is more proficient in both, take to complete all the work alone?
A.	48
B.	42
C.	40
D.	45
Answer» C. 40

Discussion

3670.	Q: A and B together can complete a work in 21 days. If A takes 42 days to complete the work alone, how many days will B take to complete the same work alone?
A.	32
B.	42
C.	27
D.	36
Answer» C. 27

Discussion

3671.	Q: A and B together can complete a work in 12 days, A alone can complete in 20 days. If B now does the work only for half a day daily, then the number of days required to complete the work, by A and B together, is
A.	18
B.	15
C.	14
D.	16
Answer» C. 14

Discussion

3672.	Q: A and B together can complete a particular task in 4 days. If A alone can complete the same task in 6 days, how many days will B take to complete the task if he works alone?
A.	8
B.	17
C.	14
D.	12
E.	None of these
Answer» E. None of these

Discussion

3673.	Q: A and B together can complete a piece of work in 3 days. They start together. But, after 2 days, B left the work, if the work is completed after 2 next days. B alone could do the work in
A.	10 days
B.	4 days
C.	6 days
D.	8 days
Answer» D. 8 days

Discussion

3674.	Q: A and B together can complete a particular task in 6 days. If A alone can complete the same task in 10 days, how many days will B take tocomplete the task if he works alone?
A.	15
B.	16
C.	14
D.	12
E.	None of these
Answer» B. 16

Discussion

3675.	Q: A and B together can complete a job in 8 days. Both B and C, working alone can finish the same job in 12 days, A and B commence work on the job, and work for 4 days, where upon A leaves , B continues for 2 more days , and then he leaves too, C now starts working, and finishes the job. How many days will C require to finish the remaining work?
A.	5 days
B.	8 days
C.	3 days
D.	4 days
Answer» E.

Discussion

3676.	Q: A and B started travelling towards each other at the same time, from Place X to Y and Y to X, respectively. After crossing each other, A and B took 2.45 hours and 4.05 hours to reach Y and X, respectively. If the speed of B was 8.4 km/h, then what was the speed (in km/h) of A?
A.	10.8
B.	11.7
C.	12.6
D.	9.9
Answer» B. 11.7

Discussion

3677.	Q: A and B take the responsibility of doing a work for Rs 250. A can do that work alone in 5 days and B alone in 15 days. They complete the work in 3 days with the help of C. If everyone gets paid in proportion to the work, then how much amount will C get?
A.	Rs. 50
B.	Rs.100
C.	Rs. 150
D.	Rs. 200
Answer» B. Rs.100

Discussion

3678.	Q: A and B started business with the initial investment in the ratio 12:11 and their profit in the business were 4x and x respectively. If A invested the money for 11/12 year, then B invested the money for?
A.	3 months
B.	4 months
C.	6 months
D.	None of these
Answer» C. 6 months

Discussion

3679.	Q: A and B started a business with Rs 20,000 and Rs. 35,000 respectively. They agreed share the profit in the ratio of their capital. C joined the partnership with the condition that A, B and C will share profit equally and pay Rs. 220000 as premium for this, to be shared between A and B. In what ratio this premium is to be divided between A and B?
A.	01:10:00
B.	10:01:00
C.	05:08:00
D.	10:09:00
Answer» C. 05:08:00

Discussion

3680.	Q: A and B started a business with their investments in the ratio 7 : 11. After four months, C joined them with an investment which is Rs.4,000 more than A's investment and he is the working partner who earns a monthly salary of Rs.1,200. The share of 'C' in the total profit of Rs.65,600 is Rs.22,400. What is the share of A?
A.	Rs.19,200
B.	Rs.18,400
C.	Rs.12,800
D.	Rs.16,800
E.	None of these
Answer» E. None of these

Discussion

3681.	Q: A and B started a business with investments Rs 3500 and Rs 2500 respectively. After 4 months C joined with Rs 6000. If the difference between C's share and B's share in the annual profit was Rs 1977, what was the total annual profit?
A.	Rs 15620
B.	Rs 16240
C.	Rs 14690
D.	Rs 12770
E.	Rs 13180
Answer» F.

Discussion

3682.	Q: A and B started a business by investing Rs 350000 and Rs 140000 respectively. A gets 20% of the yearly profit for managing the business. Thereafter the profit is divided in the ratio of the capital. If A receive totally Rs 38000 more than B at the end of a year, then the profit is -
A.	105000
B.	70000
C.	28000
D.	280000
Answer» C. 28000

Discussion

3683.	Q: A and B started a boutique investing amounts of ₹ 35,000 and ₹ 56, 000 respectively. If A ' s share in the profit earned by them is ₹ 45, 000 then what is - the total profit earned?
A.	81000
B.	127000
C.	72000
D.	₹ 1,17, 000
Answer» E.

Discussion

3684.	Q: A and B start a common business by placing their capital in the ratio of 5: 6. After 8 months A withdraws his capital. They received dividends in the ratio of 5: 9. For how long did B invest his capital?
A.	6 months
B.	8 months
C.	10 months
D.	12 months
Answer» E.

Discussion

3685.	Q: A and B invested 1/2 and 1/3 of the total capital respectively, the remaining part C invested. If there is a profit of Rs. 9696 at the end of the year, then what is the profit of B?
A.	4848
B.	3232
C.	1616
D.	2424
Answer» C. 1616

Discussion

3686.	Q: A and B invested in the ratio 3 : 2 in a business. If 5% of the total profit goes to charity and A’s share is Rs. 855, find the total profit.
A.	1600
B.	1500
C.	1400
D.	1300
Answer» C. 1400

Discussion

3687.	Q: A and B invest in a business in the ratio 3:2. If 5% of the total profit goes to charity and A’s share is Rs.855, the total profit is:
A.	Rs. 1425
B.	Rs. 1500
C.	Rs. 1537.50
D.	Rs.1576
Answer» C. Rs. 1537.50

Discussion

3688.	Q: A and B have money in the ratio 2: 1. If A gives Rs. 2 to B, The money will be in the ratio 1: 1. What were the initial amounts they had?
A.	₹ 12 and ₹ 6
B.	₹ 16 and ₹ 8
C.	₹ 8 and ₹ 4
D.	₹ 6 and ₹ 3
Answer» D. ₹ 6 and ₹ 3

Discussion

3689.	Q: A and B enter into partnership in vesting ₹ 48,000 and ₹ 60,000 respectively. After 3 months, A withdraws ₹ 8,000 while B invests 6,000 after 6 months of starting of business. Out of the total amount of profit, if A gets ₹ 12, 000 as his share at the end of the year total profit is:
A.	24000
B.	30000
C.	36000
D.	37000
Answer» C. 36000

Discussion

3690.	Q: A and B can together complete a task 40 days. They worked together for 30 days and then left. A finished the remaining task in next 22 days. In how many days A alone can finish the task?
A.	88 days
B.	48 days
C.	30 days
D.	40 days
Answer» B. 48 days

Discussion

3691.	Q: A and B can separately complete a piece of work in 20 days and 30 days respectively. They worked together for some time then B left the work. If A completed the rest of the work in 10 days, then B worked for how many days?
A.	6 days
B.	8 days
C.	12 days
D.	16 days
Answer» B. 8 days

Discussion

3692.	Q: A and B can do a work in 12 days, B and C in 15 days, C and A in 20 days. If A, B and C work together, they will complete the work in
A.	5 days
B.	$$ 7{5\over6}$$
C.	10 days
D.	$$ 15{2\over3}$$
Answer» D. $$ 15{2\over3}$$

Discussion

3693.	Q: A and B can do a piece of work in 72 days. B and C can do it in 120 days. A and C can do it in 90 days. In how many days all three together can do the work ?
A.	80 days
B.	100 days
C.	60 days
D.	150 days
Answer» D. 150 days

Discussion

3694.	Q: A and B can do a work in 18 and 24 days respectively. They worked together for 8 days and then A left. The remaining work was finished by B in
A.	5 days
B.	$$ 5{1\over3}$$ days
C.	8 days
D.	10 days
Answer» C. 8 days

Discussion

3695.	Q: A and B can do a piece of work in 40 days and 30 days respectively. They worked together for 12 days after that B was replaced by C. the work finish in next 8 days. In how many days C can alone finish the work?
A.	60 days
B.	50 days
C.	90 days
D.	80 days
Answer» E.

Discussion

3696.	Q: A and B can do a piece of work in 20 days and 30 days respectively. They started the work together but after 8 days they doing work in alternate days, started with B. how many days the work will be completed?
A.	20
B.	12
C.	14
D.	16
E.	8
Answer» E. 8

Discussion

3697.	Q: A and B can do a piece of work in 28 and 35 days respectively. They began to work together but A leaves after sometime and B completed remaining work in 17 days. After how many days did A leave?
A.	8
B.	7
C.	14
D.	9
Answer» B. 7

Discussion

3698.	Q: A and B can do a piece of work in 12 days. B and C in 15 days and C and A in 20 days. If A, B and C work together, they will completer the work in :
A.	5 days
B.	$$ 7{5\over 6} \ days$$
C.	10 days
D.	$$ 15 {2\over 3} \ days$$
Answer» D. $$ 15 {2\over 3} \ days$$

Discussion

3699.	Q: A and B can do a piece of work in 20 days and 12 days respectively. A started the work alone and then after 4 days B joined him till the completion of the work. How long did the work last?
A.	6 days
B.	10 days
C.	15 days
D.	20 days
Answer» C. 15 days

Discussion

3700.	Q: A and B can complete a work in 20 and 30 days respectively. B started the work, after 5 days A replaced B. Find the share of A in Rs 6000 to be given as salary to both of them?
A.	Rs 1000
B.	Rs 2000
C.	Rs 3000
D.	Rs 5000
Answer» E.

Discussion

Explore topic-wise MCQs in Mathematics.

Q: A, B and C enter into partnership. A advances Rs. 1200 for 4 months, B Rs. 1400 for 8 months and C Rs. 1000 for 10 months. They gain Rs. 585 altogether. Find the share of each.

Q: A, B and C enter into a partnership by investing their capitals in the ratio of $$ {2\over 5} : {3\over 4} : {5\over 8}$$. After 4 months, A increased his capital by 50%, but B decreased his capital by 20%. What is the share of B in the total profit of Rs. 2, 82, 100 at the end of a year.

Q: A, B and C enter into a partner ship with capitals in the ratio 5 : 6 :8. At the end of business term, they received the profits in the ratio 5 : 3 :12. Find the ratio of time for which they contributed their capitals?

Q: A, B and C contract a work for Rs. 550. Together A and B are to do 7/11 of the work. The share of C should be?

Q: A, B and C complete a work in 10, 12 and 15 days respectively. They started the work together. But A left the work before 5 days of its completion. B also left the work 2 days after A left. In how many days will the work completed?

Q: A, B and C can do a work in 6, 12 and 24 days respectively. In what time will they finish the work while working together?

Q: A, B and C can complete a piece of work in 24, 6 and 12 days respectively. Working together, they will complete the same work in

Q: A, B and C can complete a piece of work in 10, 12, and 15 days respectively, They started the work together. But A left the work before 5 days of its completion. B also left the work 2 days after A left. In how many days was the work completed?

Q: A, B and C are employed to do a piece of work for Rs. 529. A and C are supposed to finished 19/23 of the work together. How much shall be paid to B?

Q: A, B, and C alone can do a work in 40 days ,120 days and 36 days respectively. A and B work together for 20 days and leave it incomplete. C carries on the work and complete it alone. How many days did C take to complete the work?

Q: A article is marked at Rs. 65 and a customer buys it for Rs. 56.16 and got two successive discount of 4% and k%. Find the value of k?

Q: A and B working together, can do a piece of work in $$ {4{1\over 2}}$$ hours. B and C working together can do it in 3 hours. C and A working together can do it in $$ {2{1\over 4}}$$ hours. All of them begin the work at the same time. Find how much time they will take to finish the piece of work?

Q: A and B under took a work Rs 2200. A alone can do the work in 10 days and B alone can do the work in 12 days. If they work together, then what will be the difference (in Rs) in the amount they receive?

Q: A and B together have ₹ 158. C has ₹101 less than what A and B together have, and B has ₹ 23 more than C. The amount of A is:

Q: A and B together can do a piece of work in 12 days which B and C together can do in 16 days. After A has been working at it for 5 days and B for 19 days, C finishes it in 7 days. In how many days B could finish the whole work?

Q: A and B together can plough a field in 10 hours but by himself A requires 15 hours. How long would B take to plough the same field?

Q: A and B together can do a certain work in x days. Working alone, A and B can do the same work in (x+8) and (x+18) days, respectively. A and B together will complete $$ {5\over 6}$$ of the same work in;

Q: A and B together can complete a work in 35 days. If A works alone and completes 4/7 of that work and leaves the remaining work for B, thus if it takes 114 days to complete the work. So how many days will A, who is more proficient in both, take to complete all the work alone?

Q: A and B together can complete a work in 21 days. If A takes 42 days to complete the work alone, how many days will B take to complete the same work alone?

Q: A and B together can complete a work in 12 days, A alone can complete in 20 days. If B now does the work only for half a day daily, then the number of days required to complete the work, by A and B together, is

Q: A and B together can complete a particular task in 4 days. If A alone can complete the same task in 6 days, how many days will B take to complete the task if he works alone?

Q: A and B together can complete a piece of work in 3 days. They start together. But, after 2 days, B left the work, if the work is completed after 2 next days. B alone could do the work in

Q: A and B together can complete a particular task in 6 days. If A alone can complete the same task in 10 days, how many days will B take tocomplete the task if he works alone?

Q: A and B started travelling towards each other at the same time, from Place X to Y and Y to X, respectively. After crossing each other, A and B took 2.45 hours and 4.05 hours to reach Y and X, respectively. If the speed of B was 8.4 km/h, then what was the speed (in km/h) of A?

Q: A and B take the responsibility of doing a work for Rs 250. A can do that work alone in 5 days and B alone in 15 days. They complete the work in 3 days with the help of C. If everyone gets paid in proportion to the work, then how much amount will C get?

Q: A and B started business with the initial investment in the ratio 12:11 and their profit in the business were 4x and x respectively. If A invested the money for 11/12 year, then B invested the money for?

Q: A and B started a business with investments Rs 3500 and Rs 2500 respectively. After 4 months C joined with Rs 6000. If the difference between C's share and B's share in the annual profit was Rs 1977, what was the total annual profit?

Q: A and B started a business by investing Rs 350000 and Rs 140000 respectively. A gets 20% of the yearly profit for managing the business. Thereafter the profit is divided in the ratio of the capital. If A receive totally Rs 38000 more than B at the end of a year, then the profit is -

Q: A and B started a boutique investing amounts of ₹ 35,000 and ₹ 56, 000 respectively. If A ' s share in the profit earned by them is ₹ 45, 000 then what is - the total profit earned?

Q: A and B start a common business by placing their capital in the ratio of 5: 6. After 8 months A withdraws his capital. They received dividends in the ratio of 5: 9. For how long did B invest his capital?

Q: A and B invested 1/2 and 1/3 of the total capital respectively, the remaining part C invested. If there is a profit of Rs. 9696 at the end of the year, then what is the profit of B?

Q: A and B invested in the ratio 3 : 2 in a business. If 5% of the total profit goes to charity and A’s share is Rs. 855, find the total profit.

Q: A and B invest in a business in the ratio 3:2. If 5% of the total profit goes to charity and A’s share is Rs.855, the total profit is:

Q: A and B have money in the ratio 2: 1. If A gives Rs. 2 to B, The money will be in the ratio 1: 1. What were the initial amounts they had?

Q: A and B enter into partnership in vesting ₹ 48,000 and ₹ 60,000 respectively. After 3 months, A withdraws ₹ 8,000 while B invests 6,000 after 6 months of starting of business. Out of the total amount of profit, if A gets ₹ 12, 000 as his share at the end of the year total profit is:

Q: A and B can together complete a task 40 days. They worked together for 30 days and then left. A finished the remaining task in next 22 days. In how many days A alone can finish the task?

Q: A and B can separately complete a piece of work in 20 days and 30 days respectively. They worked together for some time then B left the work. If A completed the rest of the work in 10 days, then B worked for how many days?

Q: A and B can do a work in 12 days, B and C in 15 days, C and A in 20 days. If A, B and C work together, they will complete the work in

Q: A and B can do a piece of work in 72 days. B and C can do it in 120 days. A and C can do it in 90 days. In how many days all three together can do the work ?

Q: A and B can do a work in 18 and 24 days respectively. They worked together for 8 days and then A left. The remaining work was finished by B in

Q: A and B can do a piece of work in 40 days and 30 days respectively. They worked together for 12 days after that B was replaced by C. the work finish in next 8 days. In how many days C can alone finish the work?

Q: A and B can do a piece of work in 20 days and 30 days respectively. They started the work together but after 8 days they doing work in alternate days, started with B. how many days the work will be completed?

Q: A and B can do a piece of work in 28 and 35 days respectively. They began to work together but A leaves after sometime and B completed remaining work in 17 days. After how many days did A leave?

Q: A and B can do a piece of work in 12 days. B and C in 15 days and C and A in 20 days. If A, B and C work together, they will completer the work in :

Q: A and B can do a piece of work in 20 days and 12 days respectively. A started the work alone and then after 4 days B joined him till the completion of the work. How long did the work last?

Q: A and B can complete a work in 20 and 30 days respectively. B started the work, after 5 days A replaced B. Find the share of A in Rs 6000 to be given as salary to both of them?