If A borrowed Rs. P at x% and B borrowed Rs. Q(>P) at y% per annum at simple interest at the same time, then the amount of their debts will be equal after

\(100\;\left( {\frac{{Px - Qy}}{{Q - p}}} \right)years\)

\(100\;\left( {\frac{{Q - P}}{{Px - Qy}}} \right)years\)

\(100\;\left( {\frac{{Px - Qy}}{{Q - p}}} \right)years\)

\(100\;\left( {\frac{{Px - Qy}}{{P - Q}}} \right)years\)

\(100\;\left( {\frac{{P - Q}}{{Px - Qy}}} \right)years\)

Given below are two quantities named A and B. Based on the given information, you have to determine the relation between the two quantities. You should use the given data and your knowledge of Mathematics to choose among the possible answers.Quantity 1: If the interest earned on some principal for one year is 16% of the principle. Find the rate of interest.Quantity 2: If the compound interest for 2 years earned on the principle of Rs.1500 is Rs.315, find the rate of interest.

Either Quantity 1 = Quantity 2 or no relation can be established.

1502 + Mcqs in Simple Interest in General Aptitude Page 5 McqOptions

201.	At the rate of any compound interest rate, a sum gets tripled in 4 years, in how many years it will become 2187 times its own?
A.	22
B.	26
C.	28
D.	24
Answer» D. 24

Discussion

202.	A sum of Rs. 12,000 amounts to Rs. 20,736 in 3 years at a certain rate percent per annum, interest compounded annually. What will amount of the same sum to in 2 years at the same rate on compound interest?
A.	Rs. 17,280
B.	Rs. 14,520
C.	Rs. 17,820
D.	Rs. 15,640
Answer» B. Rs. 14,520

Discussion

203.	A principal amount of Rs. 45000 gives Rs. 54000 as a simple interest in 6 years. Find the simple interest on half of the principal amount for 3 years at the same rate of interest?
A.	Rs. 17000
B.	Rs. 11900
C.	Rs. 16960
D.	Rs. 13500
E.	Rs. 12000
Answer» E. Rs. 12000

Discussion

204.	A person borrows some money for 4 years at the rate of simple interest. If the ratio of principal and total interest is 5 : 1, then what is the rate (in percentage) of interest?
A.	5
B.	25
C.	10
D.	20
Answer» B. 25

Discussion

205.	A sum of money amounts to Rs. 7,500 in 5 years, and to Rs. 8,500 in 7 years at simple interest at the same rate of interest. The rate of interest per annum is:
A.	12%
B.	9%
C.	8%
D.	10%
Answer» E.

Discussion

206.	A principal amount increases by 50% in five years at simple interest. At the same rate of interest, what will be the compound interest on Rs. 20000 for three years?
A.	Rs. 2880
B.	Rs. 5760
C.	Rs. 6620
D.	Rs. 3310
Answer» D. Rs. 3310

Discussion

207.	A Person borrowed Rs. 32,000 at a yearly 9% simple interest and deposited the same amount in a bank at a yearly compound interest of 10%. What is the gain in rupees at the end of 3 years?
A.	Rs. 926
B.	Rs. 1,940
C.	Rs. 2,904
D.	Rs. 1,952
Answer» E.

Discussion

208.	A person borrows Rs. 5,000 for 2 years at 4% p.a. simple Interest, he immediately lends it to another person at \(6{\frac{1}{4}}\)% p.a. simple Interest for 2 years. Find his gain in the transaction per year.
A.	Rs. 150
B.	Rs. 125
C.	Rs. 112.50
D.	Rs. 167.50
Answer» D. Rs. 167.50

Discussion

209.	Find the compound interest of that amount at the rate of 7% for 3 years? Whose simple interest will be Rs.18,900 at the rate of 7% in 3 years. (Rounded off to the nearest rupee)A. 19,746B. 18,390C. 20,254D. 21,053
A.	D
B.	A
C.	B
D.	C
Answer» E.

Discussion

210.	A sum of Rs. 2,800 is lent out into two parts, one at 12% and another one at 9%. If the total annual interest received is Rs. 288, find the amount lent at 9% rate.
A.	Rs. 1500
B.	Rs. 1600
C.	Rs. 1400
D.	Rs. 1800
Answer» C. Rs. 1400

Discussion

211.	A sum lent out at simple interest amounts to Rs. 6076 in 1 year and Rs. 7504 in 3 years. The sum and the rate of interest (approx) p.a are respectively:
A.	Rs. 5,600 and 9%
B.	Rs. 5,400 and 9%
C.	Rs. 5,400 and 10%
D.	Rs. 5,362 and 13.32%
Answer» E.

Discussion

212.	In how may years will a sum of Rs. 320 amount to Rs. 405 if interest is compounded at 12.5% per annum?
A.	2(1/2) years
B.	2 years
C.	1 year
D.	1(1/2) years
Answer» C. 1 year

Discussion

213.	A sum borrowed under compound interest doubles itself in 10 years. When will it become fourfold of itself at the same rate of interest?
A.	24 years
B.	15 years
C.	20 years
D.	40 years
Answer» D. 40 years

Discussion

214.	A sum is tripled in 4 years when invested at compound interest. In what time will the same sum become 9 times?
A.	10
B.	9
C.	7
D.	8
Answer» E.

Discussion

215.	A same principal is invested in schemes of compound interest and simple interest. The interest obtained in compound interest and simple interest schemes for two years are Rs. 630 and Rs. 600 respectively. If the rate of interest is 10%, then what is the principal (in Rs.) of each scheme?
A.	5000
B.	6000
C.	3000
D.	2500
Answer» D. 2500

Discussion

216.	A person borrowed a certain sum at 10% p.a. for three years, interest being compounded annually. At the end of two years, he repaid a sum of Rs. 6,634 and at the end of the third year, he cleared off the debt by paying Rs.13,200. What was the sum borrowed by him?
A.	Rs. 16,400
B.	Rs. 16,500
C.	Rs. 15,400
D.	Rs. 15,600
Answer» D. Rs. 15,600

Discussion

217.	In how much time will a sum of ₹ 24 become ₹ 56 at 16% simple interest per annum?
A.	6 years 11 months
B.	8 years 4 months
C.	7 years 8 months
D.	6 years 5 months
Answer» C. 7 years 8 months

Discussion

218.	If Rs. 2500 becomes to Rs. 2970.25 in 2 years at compound interest compounded annually, then what is the yearly rate of interest (in %)?
A.	7
B.	9
C.	11
D.	13
Answer» C. 11

Discussion

219.	A sum of Rs. 40,000 is invested for 3 years at 8% interest compounded annually. What is the percentage increase in his income at the end of 3 years correct to two decimal places?
A.	25.97%
B.	24.75%
C.	26.32%
D.	26.85%
Answer» B. 24.75%

Discussion

220.	A man invested his deposit capital in a bank. This amount becomes Rs. 1355 in 3 years with simple interest and Rs. 1545 in 4 years. What will be the original deposit?
A.	Rs. 785
B.	Rs. 755
C.	Rs. 725
D.	Rs. 775
Answer» B. Rs. 755

Discussion

221.	Mr. Murthy invested Rs. 16,000 in a scheme. Find the compound interest, if he invested it at 20% per annum for 9 months, Compounded quarterly?
A.	Rs. 2523
B.	Rs. 2552
C.	Rs. 2524
D.	Rs. 2522
Answer» E.

Discussion

222.	A person bought a refrigerator worth Rs. 22,800 with 12.5% interest compounded yearly. At the end of first year he paid Rs. 8,650 and at the end of second year Rs. 9,125. How much will he have to pay at the end of third year to clear the debt?
A.	Rs. 9,990
B.	Rs. 10,000
C.	Rs. 10,590
D.	Rs. 11,250
Answer» E.

Discussion

223.	Albert invested an amount of x rupees in a fixed deposit scheme offering 10% per annum for 1st year and 15% per annum for 2nd year and received an amount of Rs. 20,240 after the two years. What is x (in Rs.)?
A.	15000
B.	16000
C.	14000
D.	18000
Answer» C. 14000

Discussion

224.	If an amount of Rs. 5,000 earned a simple interest of Rs. 500 over 2 years, what is the rate of simple interest?
A.	4%
B.	2%
C.	5%
D.	5.5%
Answer» D. 5.5%

Discussion

225.	If A borrowed Rs. P at x% and B borrowed Rs. Q(>P) at y% per annum at simple interest at the same time, then the amount of their debts will be equal after
A.	\(100\;\left( {\frac{{Q - P}}{{Px - Qy}}} \right)years\)
B.	\(100\;\left( {\frac{{Px - Qy}}{{Q - p}}} \right)years\)
C.	\(100\;\left( {\frac{{Px - Qy}}{{P - Q}}} \right)years\)
D.	\(100\;\left( {\frac{{P - Q}}{{Px - Qy}}} \right)years\)
Answer» B. \(100\;\left( {\frac{{Px - Qy}}{{Q - p}}} \right)years\)

Discussion

226.	If the annual rate of simple interest increases from 11% to \(17 \frac{1}{2}\)%, then a person's yearly income increases by Rs. 1,071.20. The simple interest (in Rs.) on the same sum at 10% for 5 years is:
A.	9,120
B.	8,240
C.	16,480
D.	7,250
Answer» C. 16,480

Discussion

227.	A loan is to be returned in two equal yearly instalments. If the rate of interest is 10% p.a., compounded annually, and each instalment is Rs. 5,808, then the total interest charged in this scheme is:
A.	Rs. 1,536
B.	Rs. 1,632
C.	Rs. 1,602
D.	Rs. 1,563
Answer» B. Rs. 1,632

Discussion

228.	A sum of Rs. 52,040 is divided between A and B such that amount of A after \(3\frac{1}{2}\) years is equal to the amount of B after \(4\frac{1}{2}\) years, when the interest is compounded half yearly at 8% per annum. The difference between the amounts of A and B is:
A.	Rs. 1,800
B.	Rs. 2,040
C.	Rs. 2,060
D.	Rs. 2,400
Answer» C. Rs. 2,060

Discussion

229.	In the following question, two statements are numbered as A and B. On solving these statements we get quantities A and B respectively. Solve for the both quantities and choose the correct option.Quantity A: At what rate of interest will the simple interest on a sum of money be 30% of it after 4 years?Quantity B: At what rate of simple interest will a sum of money amount to 1.5 times of it after 8 years?
A.	Quantity A > Quantity B
B.	Quantity A < Quantity B
C.	Quantity A ≥ Quantity B
D.	Quantity A ≤ Quantity B
E.	Quantity A = Quantity B
Answer» B. Quantity A < Quantity B

Discussion

230.	Given below are two quantities named A and B. Based on the given information, you have to determine the relation between the two quantities. You should use the given data and your knowledge of Mathematics to choose among the possible answers.Quantity 1: If the interest earned on some principal for one year is 16% of the principle. Find the rate of interest.Quantity 2: If the compound interest for 2 years earned on the principle of Rs.1500 is Rs.315, find the rate of interest.
A.	Quantity 1 > Quantity 2
B.	Quantity 1 < Quantity 2
C.	Quantity 1 ≤ Quantity 2
D.	Quantity 1 ≥ Quantity 2
E.	Either Quantity 1 = Quantity 2 or no relation can be established.
Answer» B. Quantity 1 < Quantity 2

Discussion

231.	Rahul invested equal sums of money at compound interest under two schemes A and B. Under scheme A, the interest rate was 10% per annum and under scheme B, the interest rate was 12% p.a. The compound interest after two years on the sum invested in scheme A was Rs. 1,050. How much is the interest earned under scheme B after two years, if the interest is compounded annually in both schemes?
A.	Rs. 1,272
B.	Rs. 1,270
C.	Rs. 1,372
D.	Rs. 1,722
Answer» B. Rs. 1,270

Discussion

232.	A, B and C invested at simple interest equal amounts of money to yield a return of 5%, 6% and 7% per annum respectively for 1 year. The difference in earning of A and C is Rs. 300. What is the amount invested by B?
A.	Rs. 15,000
B.	Rs. 25,000
C.	Rs.20,000
D.	Rs.10,000
Answer» B. Rs. 25,000

Discussion

233.	In how many years will Rs. 25,000 yield Rs. 8,275 as compound interest at 10% per annum compounded annually?
A.	2
B.	4
C.	3
D.	5
Answer» D. 5

Discussion

234.	At what rate percent compound interest, will Rs. 400 amount to Rs. 441 in 2 yr?
A.	4%
B.	5%
C.	6%
D.	3%
Answer» C. 6%

Discussion

235.	A sum of money invested for 2 years and 9 months at the rate of 8% simple interest per annum became Rs. 732 at the end of the period. What was the sum that was initially invested?
A.	Rs. 600
B.	Rs. 575
C.	Rs. 500
D.	Rs. 550
Answer» B. Rs. 575

Discussion

236.	A sum of Rs. 8400 is taken as loan. This is to be paid in two equal instalments. If the rate of interest is 10% per annum compounded annually, then the value of each instalment is
A.	Rs. 4200
B.	Rs. 4480
C.	Rs. 4840
D.	None of the above
Answer» D. None of the above

Discussion

237.	A sum of Rs.8,000 amounts to Rs.13,824 in 3 years at R% p.a., interest compound annually. What will it amount to in \(1\dfrac{1}{4}\) years at the same rate, if the interest is compounded half-yearly?
A.	Rs.10,648
B.	Rs.10,148
C.	Rs.10,164
D.	Rs.10,872
Answer» D. Rs.10,872

Discussion

238.	A sum of Rs. 10,200 is invested partly at 8% per annum and remaining at 6% per annum for 3 years at simple interest. If the total interest is Rs. 2,124, how much money was invested at 6% per annum?
A.	Rs. 5,400
B.	Rs. 5,200
C.	Rs. 4,900
D.	Rs. 4,800
Answer» B. Rs. 5,200

Discussion

239.	A sum of Rs. 900 is invested at compound interest (compounded annually) for 2 years. If the rate of interest is 10% per annum, then what will be the amount?
A.	Rs. 1289
B.	Rs. 1121
C.	Rs. 1089
D.	Rs. 1071
Answer» D. Rs. 1071

Discussion

240.	If the rate of interest is 8% per annum and Rs. 10000 lent at the compound interest half yearly then calculate the equivalent simple rate of interest for the first year?
A.	8.16%
B.	9%
C.	7%
D.	10%
Answer» B. 9%

Discussion

241.	If the difference between the compound interest and simple interest at 17% on a sum of money for 2 years (compounded annually) is Rs. 433.50, then the sum (in Rs.) is:
A.	12,000
B.	20,000
C.	15,000
D.	25,000
Answer» D. 25,000

Discussion

242.	If at an rate the simple interest in 3 years for Rs. 28000 is Rs. 225 more than the simple interest at the same rate in 3 years for Rs. 27000, then what will be the simple interest for Rs. 35000 at the same rate for 3 years?
A.	Rs. 6970
B.	Rs.7875
C.	Rs. 6985
D.	Rs.7085
Answer» C. Rs. 6985

Discussion

243.	A sum doubles in seven years at simple interest. In how many years will the sum become five times the original sum?
A.	30
B.	35
C.	21
D.	28
Answer» E.

Discussion

244.	A sum of amount at certain rate of compound interest double in 3 years. In 9 years it will be k times of the original principal. What is the value of k?
A.	8
B.	6
C.	9
D.	10
Answer» B. 6

Discussion

245.	A sum of Rs. 2,000 invested at 9.25% simple interest per annum for 4 years will yield an interest of.
A.	Rs. 1,110
B.	Rs. 925
C.	Rs. 555
D.	Rs. 740
Answer» E.

Discussion

246.	A sum of money when invested for a year at the rate of 10% interest per annum compounded half-yearly becomes Rs. 44,100 at maturity. The sum invested was _____.
A.	Rs. 40000
B.	Rs. 40500
C.	Rs. 39800
D.	Rs. 40250
Answer» B. Rs. 40500

Discussion

247.	Find the compound interest on Rs. 18,400 in 2 years, the rate of interest being 15% p.a. for the first year and 20% p.a. for the second year.
A.	Rs. 2,640
B.	Rs. 3,700
C.	Rs. 1,620
D.	Rs. 6992
Answer» E.

Discussion

248.	Find the amount for principal Rs. 13000 invested for 1 year at 2% annual rate of simple interest.
A.	Rs. 11,260
B.	Rs. 12,260
C.	Rs. 10,260
D.	Rs. 13,260
Answer» E.

Discussion

249.	A certain bank offers 8% rate of compound interest on the 1st year and 9% on the 2nd year in a certain fixed deposit scheme. If Rs. 17,658 is received after investing for 2 years in this scheme, then what was the amount (in Rs) invested?
A.	16000
B.	15000
C.	15500
D.	16500
Answer» C. 15500

Discussion

250.	A certain amount is invested in a scheme of simple interest. It amounts to Rs. 3096 in 6 years and Rs. 3744 in 9 years. What is the rate of interest (in percentage)?
A.	12
B.	15
C.	18
D.	20
Answer» B. 15

Discussion

Explore topic-wise MCQs in General Aptitude.

At the rate of any compound interest rate, a sum gets tripled in 4 years, in how many years it will become 2187 times its own?

A sum of Rs. 12,000 amounts to Rs. 20,736 in 3 years at a certain rate percent per annum, interest compounded annually. What will amount of the same sum to in 2 years at the same rate on compound interest?

A principal amount of Rs. 45000 gives Rs. 54000 as a simple interest in 6 years. Find the simple interest on half of the principal amount for 3 years at the same rate of interest?

A person borrows some money for 4 years at the rate of simple interest. If the ratio of principal and total interest is 5 : 1, then what is the rate (in percentage) of interest?

A sum of money amounts to Rs. 7,500 in 5 years, and to Rs. 8,500 in 7 years at simple interest at the same rate of interest. The rate of interest per annum is:

A principal amount increases by 50% in five years at simple interest. At the same rate of interest, what will be the compound interest on Rs. 20000 for three years?

A Person borrowed Rs. 32,000 at a yearly 9% simple interest and deposited the same amount in a bank at a yearly compound interest of 10%. What is the gain in rupees at the end of 3 years?

A person borrows Rs. 5,000 for 2 years at 4% p.a. simple Interest, he immediately lends it to another person at \(6{\frac{1}{4}}\)% p.a. simple Interest for 2 years. Find his gain in the transaction per year.

Find the compound interest of that amount at the rate of 7% for 3 years? Whose simple interest will be Rs.18,900 at the rate of 7% in 3 years. (Rounded off to the nearest rupee)A. 19,746B. 18,390C. 20,254D. 21,053

A sum of Rs. 2,800 is lent out into two parts, one at 12% and another one at 9%. If the total annual interest received is Rs. 288, find the amount lent at 9% rate.

A sum lent out at simple interest amounts to Rs. 6076 in 1 year and Rs. 7504 in 3 years. The sum and the rate of interest (approx) p.a are respectively:

In how may years will a sum of Rs. 320 amount to Rs. 405 if interest is compounded at 12.5% per annum?

A sum borrowed under compound interest doubles itself in 10 years. When will it become fourfold of itself at the same rate of interest?

A sum is tripled in 4 years when invested at compound interest. In what time will the same sum become 9 times?

A same principal is invested in schemes of compound interest and simple interest. The interest obtained in compound interest and simple interest schemes for two years are Rs. 630 and Rs. 600 respectively. If the rate of interest is 10%, then what is the principal (in Rs.) of each scheme?

A person borrowed a certain sum at 10% p.a. for three years, interest being compounded annually. At the end of two years, he repaid a sum of Rs. 6,634 and at the end of the third year, he cleared off the debt by paying Rs.13,200. What was the sum borrowed by him?

In how much time will a sum of ₹ 24 become ₹ 56 at 16% simple interest per annum?

If Rs. 2500 becomes to Rs. 2970.25 in 2 years at compound interest compounded annually, then what is the yearly rate of interest (in %)?

A sum of Rs. 40,000 is invested for 3 years at 8% interest compounded annually. What is the percentage increase in his income at the end of 3 years correct to two decimal places?

A man invested his deposit capital in a bank. This amount becomes Rs. 1355 in 3 years with simple interest and Rs. 1545 in 4 years. What will be the original deposit?

Mr. Murthy invested Rs. 16,000 in a scheme. Find the compound interest, if he invested it at 20% per annum for 9 months, Compounded quarterly?

A person bought a refrigerator worth Rs. 22,800 with 12.5% interest compounded yearly. At the end of first year he paid Rs. 8,650 and at the end of second year Rs. 9,125. How much will he have to pay at the end of third year to clear the debt?

Albert invested an amount of x rupees in a fixed deposit scheme offering 10% per annum for 1st year and 15% per annum for 2nd year and received an amount of Rs. 20,240 after the two years. What is x (in Rs.)?

If an amount of Rs. 5,000 earned a simple interest of Rs. 500 over 2 years, what is the rate of simple interest?

If A borrowed Rs. P at x% and B borrowed Rs. Q(>P) at y% per annum at simple interest at the same time, then the amount of their debts will be equal after

If the annual rate of simple interest increases from 11% to \(17 \frac{1}{2}\)%, then a person's yearly income increases by Rs. 1,071.20. The simple interest (in Rs.) on the same sum at 10% for 5 years is:

A loan is to be returned in two equal yearly instalments. If the rate of interest is 10% p.a., compounded annually, and each instalment is Rs. 5,808, then the total interest charged in this scheme is:

A sum of Rs. 52,040 is divided between A and B such that amount of A after \(3\frac{1}{2}\) years is equal to the amount of B after \(4\frac{1}{2}\) years, when the interest is compounded half yearly at 8% per annum. The difference between the amounts of A and B is:

A, B and C invested at simple interest equal amounts of money to yield a return of 5%, 6% and 7% per annum respectively for 1 year. The difference in earning of A and C is Rs. 300. What is the amount invested by B?

In how many years will Rs. 25,000 yield Rs. 8,275 as compound interest at 10% per annum compounded annually?

At what rate percent compound interest, will Rs. 400 amount to Rs. 441 in 2 yr?

A sum of money invested for 2 years and 9 months at the rate of 8% simple interest per annum became Rs. 732 at the end of the period. What was the sum that was initially invested?

A sum of Rs. 8400 is taken as loan. This is to be paid in two equal instalments. If the rate of interest is 10% per annum compounded annually, then the value of each instalment is

A sum of Rs.8,000 amounts to Rs.13,824 in 3 years at R% p.a., interest compound annually. What will it amount to in \(1\dfrac{1}{4}\) years at the same rate, if the interest is compounded half-yearly?

A sum of Rs. 10,200 is invested partly at 8% per annum and remaining at 6% per annum for 3 years at simple interest. If the total interest is Rs. 2,124, how much money was invested at 6% per annum?

A sum of Rs. 900 is invested at compound interest (compounded annually) for 2 years. If the rate of interest is 10% per annum, then what will be the amount?

If the rate of interest is 8% per annum and Rs. 10000 lent at the compound interest half yearly then calculate the equivalent simple rate of interest for the first year?

If the difference between the compound interest and simple interest at 17% on a sum of money for 2 years (compounded annually) is Rs. 433.50, then the sum (in Rs.) is:

If at an rate the simple interest in 3 years for Rs. 28000 is Rs. 225 more than the simple interest at the same rate in 3 years for Rs. 27000, then what will be the simple interest for Rs. 35000 at the same rate for 3 years?

A sum doubles in seven years at simple interest. In how many years will the sum become five times the original sum?

A sum of amount at certain rate of compound interest double in 3 years. In 9 years it will be k times of the original principal. What is the value of k?

A sum of Rs. 2,000 invested at 9.25% simple interest per annum for 4 years will yield an interest of.

A sum of money when invested for a year at the rate of 10% interest per annum compounded half-yearly becomes Rs. 44,100 at maturity. The sum invested was _____.

Find the compound interest on Rs. 18,400 in 2 years, the rate of interest being 15% p.a. for the first year and 20% p.a. for the second year.

Find the amount for principal Rs. 13000 invested for 1 year at 2% annual rate of simple interest.

A certain bank offers 8% rate of compound interest on the 1st year and 9% on the 2nd year in a certain fixed deposit scheme. If Rs. 17,658 is received after investing for 2 years in this scheme, then what was the amount (in Rs) invested?

A certain amount is invested in a scheme of simple interest. It amounts to Rs. 3096 in 6 years and Rs. 3744 in 9 years. What is the rate of interest (in percentage)?