Compound Interest problems
- 1. The compound interest on rs.30000 at 7% per annum is Rs.4347. The period is
Options- A. 2 years
- B. 2.5 years
- C. 3 years
- D. 4 years Discuss
Correct Answer: 2 years
- 2. A sum of money amounts to Rs.6690 after 3 years and to Rs.10,035 after 6 years on compound interest.find the sum.
Options- A. 4360
- B. 4460
- C. 4560
- D. 4660 Discuss
Correct Answer: 4460
Explanation:
Let the sum be Rs.P.then
P(1+R/100)^3=6690?(i) and P(1+R/100)^6=10035?(ii)
On dividing,we get (1+R/100)^3=10025/6690=3/2.
Substituting this value in (i),we get:
P*(3/2)=6690 or P=(6690*2/3)=4460
Hence,the sum is rs.4460.
- 3. The difference between compound interest and simple interest on a certain sum of money for 2 years at 5% per annum is Rs. 41. What is the sum of money?
Options- A. Rs.7200
- B. Rs.9600
- C. Rs.16400
- D. Rs.8400 Discuss
Correct Answer: Rs.16400
- 4. Find the compound interest on Rs. 10,000 in 2 years at 4% per annum, the interest being compounded half-yearly.
Options- A. 524.32
- B. 624.32
- C. 724.32
- D. 824.32 Discuss
Correct Answer: 824.32
- 5. What is the rate of interest p.c.p.a.? I. An amount doubles itself in 5 years on simple interest. II. Difference between the compound interest and the simple interest earned on a certain amount in 2 years is Rs. 400. III. Simple interest earned per annum is Rs. 2000
Options- A. I only
- B. II and III only
- C. All I, II and III
- D. I only or II and III only Discuss
Correct Answer: I only or II and III only
Explanation:
Thus I only or (II and III) give answer.
Correct answer is (D)
- 6. What annual payment will discharge a debt of Rs.7620 due in 3years at 1623 % per annum interest?
Options- A. 5430
- B. 4430
- C. 3430
- D. 2430 Discuss
Correct Answer: 3430
Explanation:
Let each installment be Rs.x. Then,
(P.W. of Rs.x due 1 year hence) + (P.W of Rs.x due 2 years hence) + (P.W of Rs. X due 3 years hence) = 7620.
=> x = 3430
Amount of each installment = Rs.3430
- 7. The difference between the simple interest on a certain sum at the rate of 10%per annum for 2 years and compound interest which is compounded every 6 months is Rs.124.05. what is the principal sum
Options- A. Rs.6000
- B. Rs.8000
- C. Rs.12000
- D. none of these Discuss
Correct Answer: Rs.8000
Explanation:
Compound Interest on P at 10% for 2 years when interest is compounded half-yearly
=
Simple Interest on P at 10% for 2 years =
Given that difference between compound interest and simple interest = 124.05
=>
P=8000
- 8. If the simple interest on a sum of money at 5% per annum for 3 years is Rs. 1200, find the compound interest on the same sum for the same period at the same rate.
Options- A. Rs.1251
- B. Rs.1261
- C. Rs.1271
- D. Rs,1281 Discuss
Correct Answer: Rs.1261
Explanation:
Clearly, Rate = 5% p.a .,
Time = 3 years
S.I =Rs.1200.
So,Principal
=Rs.(100 x 1200/3x5)
=Rs.8000.
Amount
=Rs.[8000 x (1+5/100)³]
=Rs(8000x21/20x21/20x21/20)
= Rs.9261
C.I
=Rs.(9261-8000)
=Rs.1261.
- 9. A certain sum amounts to Rs.7350 in 2 years and to Rs.8575 in 3 years.find the sum and rate percent
Options- A. 3400
- B. 4400
- C. 5400
- D. 6400 Discuss
Correct Answer: 5400
Explanation:
Interest for 1 year is the same whether it's simple interest or the compound interest.
Now interest of third year = 8575 - 7350 = 1225; means principal for this interest is 7350 if comound interest is takenIf 7350 is the principal interest = 1225
if 100 is the principal interest =(1225/7350) * 100 = 50/3 %
When a thing increases for two successive times the overall increase on initial amount = a + b + (a * b)/100
Therefore overall interest for two years = 50/3 + 50/3 + [(50/3)*(50/3)]/100 = 325/9 %
Therefore amount after 2 years = 100 + 325/9 = 1225/9
If 1225/9 is the amount principal =100
if 7350 is the amount principal =(900/1225)*7350 =5400
So sum = 5400; Rate = 50/3 %
- 10. Find the compound interest on Rs.16,000 at 20% per annum for 9 months, compounded quartely.
Options- A. Rs.2522
- B. Rs.2422
- C. Rs.3522
- D. Rs.2322 Discuss
Correct Answer: Rs.2522
Explanation:
Principal = Rs.16,000;
Time=9 months = 3 quarters;
Amount
=Rs.[16000x(1+5/100)³] =[16000x21/20x21/20x21/20]
= Rs.18522.
C.I
= Rs.(18522 - 16000)
= Rs.2522.
More in Aptitude:
Programming
Copyright ©CuriousTab. All rights reserved.