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- Question
- A sum of money becomes Rs. 6690 after three years and Rs. 10035 after six years on compound interest. The sum is?
Options- A. Rs. 4400
- B. Rs. 4445
- C. Rs. 4460
- D. Rs. 4520
- Correct Answer
- Rs. 4460
ExplanationLet the principal be P,then
P(1 + R/100)3 = 6690
And P(1 + R/100)6 = 10,035
Now, dividing (ii)by (i),we get
? (1 + R/100)3 = 10035/6690 = 3/2
? P x 3/2 = 6690
? P = (6690 x 2/3 ) = Rs. 4460 - 1. The difference between simple interest and compound interest at the same rate for Rs. 5000 for 2 years is Rs. 72.The rate of interest is?
Options- A. 10%
- B. 12%
- C. 6%
- D. 8% Discuss
- 2. A sum is invested at compound interest payable annually. The interest in two successive years was Rs. 500 and Rs. 540. The sum is?
Options- A. Rs. 3750
- B. Rs. 5000
- C. Rs. 5600
- D. Rs. 6250 Discuss
- 3. A sum of money amounts to Rs. 10648 in 3 years and Rs. 9680 in 2 years. The rate of interest is?
Options- A. 5%
- B. 10%
- C. 15%
- D. 20% Discuss
- 4. The least number of complete years in which a sum of money put out at 20% compound interest will be more than doubled is?
Options- A. 3 years
- B. 4 years
- C. 5 years
- D. 6 years Discuss
- 5. Simple interest on a sum at 4% per annum for 2 years is Rs.80. The compound interest on the same sum for the same period is?
Options- A. Rs. 81.60
- B. Rs. 160
- C. Rs. 1081.60
- D. None of these Discuss
- 6. What will be the compound interest of Rs. 8000 at 10% p.a. for 1 1/ 2 years. When compound interest is payable half yearly?
Options- A. Rs. 1261
- B. Rs. 1385
- C. Rs. 1480
- D. Rs. 1255 Discuss
- 7. If the interest of a certain sum for the first year at 8% p.a. compound interest is Rs. 48. What will be the interest for the second years?
Options- A. Rs. 52.55
- B. Rs. 51.84
- C. Rs. 58.60
- D. Rs. 53.04 Discuss
- 8. If the compound interest of a certain sum of money for 2 years at 5 % p.a. is Rs. 328. what will be the simple interest on the same time and at the same rate?
Options- A. Rs. 320
- B. Rs. 322
- C. Rs. 325
- D. Rs. 326 Discuss
- 9. Find the least number of complete years in which a sum of money put out at 20 percent compound interest will be more than doubled?
Options- A. 2 years
- B. 3 years
- C. 4 years
- D. Data inadequate Discuss
- 10. A sum of money put out at compound interest amounts in 2 years to Rs. 578.40 and in 3 years to Rs. 614.55. Find the rate of interest?
Options- A. 6%
- B. 61/4%
- C. 61/2%
- D. 63/4% Discuss
Compound Interest problems
Search Results
Correct Answer: 12%
Explanation:
? [5000 x (1 +R/100)2 - 5000] - (5000 x 2 x R)/100 =72
? 5000[(1 +R/100)2 - 1 - R/50] = 72
? 1 + R2/10000 + 2R/100 - 1 - R/5 = 72/5000
? R2 = (72/5000 x 10000) = 144
? R = 12%
Correct Answer: Rs. 6250
Explanation:
S.I. on Rs. 500 for 1 year = 540 - 500 = Rs. 40
? Rate = (100 x 40)/(500 x 1) = 8%
and Sum = Rs.(100 x 500)/(8 x 1) = Rs. 6250
Correct Answer: 10%
Explanation:
Let P be the principle and R% per annum be the rate. Then,
P(1 + R/100)3 = 10648 ....(i)
and P(1 + R/100)2 = 9680 .....(ii)
on dividing (i) by (ii), we have
? (1 + R/100) = 10648/9680
? R/100 =968/9680 = 1/10
? R =100/10 = 10%
Correct Answer: 4 years
Explanation:
? P x (1 + 20/100)t > 2P
? (6/5)n > 2
Now, (6/5) x (6/5) x (6/5) x (6/5) > 2
? 1296/615 > 2
? t = 4 years
Correct Answer: Rs. 81.60
Explanation:
principle = (interest x 100) / (time x rate)
= Rs. (100 x 80)/(4 x 2) = Rs. 1000
? C.I. =Rs.[{1000 x (1 + 4/100)2 - 1000}]
= Rs. 81.60
Correct Answer: Rs. 1261
Explanation:
Yearly interest = 10%
Half yearly = 5%
Time = 11/2 = (3/2) x 2 half yearly = 3 half yearly
Amount = 8000(1 + 5/100)3
= 8000 x (21/20)3
= 8000 x 21/20 x 21/20 x 21/20
= Rs. 9261
Compound interest = Amount - Principal = 9261 - 8000
= Rs. 1261
Correct Answer: Rs. 51.84
Explanation:
S.I. or C.I. for first year are always equal
Principle = (S.I. x 100)/(Rate x Time)
= (48 x 100)/(8 x 1) = Rs. 600
Interest for second year = Amount of second year - Amount of the first year
= 600 (1 +8/100)2 - 600(1 +8/100)
= 600(27/25)2 - 600(27/25)
= 600(27/25) {27/25 - 1}
= 600(27/25) (2/25)
= Rs. 51.84
Correct Answer: Rs. 320
Explanation:
? 328 = Principal {(1 +5/100)2 - 1}
? 328 = Principal (441/400 - 1)
? 328 =Principal 41/400
? Principal = (328 x 400)/41 = Rs. 3200
? Simple interest = (3200 x 5 x 2) / 100 = Rs. 320
Correct Answer: 4 years
Explanation:
Here P(1 + 20/10)t > 2P
? (6/5)t > 2
? (6/5)3 = 1.728, and
(6/5)4 = 2.0736
By trial (6/5) x (6/5) x (6/5) x (6/5) > 2
? The required time is 4 years.
Correct Answer: 61/4%
Explanation:
Clearly the difference between Rs. 578.40 and Rs.614.55 is the interest on Rs. 578.40 for 1 year.
? Interest on Rs. 578.40 for 1 year = Rs. 614.55 - Rs. 578.40 = Rs. 36.15
? Interest on Rs.100 for 1 year = Rs. (36.15 x 100)/578.40
= Rs. 3615/57840 x 100/1
= Rs. 6.25
= Rs. 61/4
? The required rate is .61/4 percent.
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