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- Question
- A man invested 1/3 of his capital at 7%, 1/4 at 8% and remainder at 10%. If his annual income is Rs. 561, the capital is?
Options- A. Rs. 5400
- B. Rs. 6000
- C. Rs. 6600
- D. Rs. 7200
- Correct Answer
- Rs. 6600
ExplanationLet the capital be Rs. P, then
(P/3) x (7/ 100) + (x/4) x (8/100) + [P - (P/3 + P/4)] x 10/100 = 561
? 7P/300 + P/50 + P/24 = 561
? 42P + 36P + 75P = 1009800
P = 1009800/153 = 6600 - 1. A moneylender finds that due to a fall in the rate of interest from 13% to 12 1/ 2% his yearly income diminishes by Rs. 104. His capital is?
Options- A. Rs. 21400
- B. Rs. 20800
- C. Rs. 22300
- D. Rs. 24000 Discuss
- 2. The simple interest on a sum of money is 1/9 of the principle and the number of years is equal to the rate percent annum. The rate percent annum is?
Options- A. 3
- B. 1/3
- C. 31/3
- D. 3/10 Discuss
- 3. A certain sum lent out at simple interest amounts to Rs 575 in 3 yr and to Rs 625 in 5 yr. Then the rate of interest is?
Options- A. 3%
- B. 4%
- C. 5%
- D. 7% Discuss
- 4. The simple interest at x% for x years will be Rs x on a sum of ....
Options- A. Rs x
- B. Rs 100x
- C. Rs (100/x)
- D. Rs (100/ x2) Discuss
- 5. The simple interest on a sum of money at 10% per annum for 6 year is half the sum. Then, the sum is?
Options- A. Rs 5000
- B. Not possible
- C. Rs 4000
- D. Rs 6000 Discuss
- 6. A certain sum of money at simple interest amounts to Rs. 1260 in 2 years and to Rs. 1350 in 5 years. The rate per cent per annum is?
Options- A. 2.5%
- B. 3.75%
- C. 5%
- D. 7.5% Discuss
- 7. A lent Rs. 600 to B for 2 years and Rs. 150 to C for 4 years and received altogether from both Rs. 90 as simple interest. The rate of interest is?
Options- A. 4%
- B. 5%
- C. 10%
- D. 12% Discuss
- 8. Rs. 800 amounts to Rs. 920 in 3 years at simple interest. If the interest rate is increased by 3% It would amount to how much?
Options- A. Rs. 1056
- B. Rs. 1112
- C. Rs. 1182
- D. Rs. 992 Discuss
- 9. The simple interest on a sum of money at 8% per annum for 6 years is half the sum. The sum is?
Options- A. Rs. 4800
- B. Rs. 6000
- C. Rs. 8000
- D. Data inadequate Discuss
- 10. If the interest on Rs. 1200 be more than the interest on Rs. 1000 by Rs. 50 in 3 years, the rate per cent is?
Options- A. 101/3%
- B. 62/3%
- C. 81/3%
- D. 92/3% Discuss
Simple Interest problems
Search Results
Correct Answer: Rs. 20800
Explanation:
Let capital = Rs . P
Then, SI1 - SI2 = 104.
? (P x 13 x 1)/100 - (P x 25/2 x 1) /100 = 104
? 13P/100 - P/8 = 104
? 26P -25P = (104 x 200)
? P = 20800
? Capital = Rs. 20800
Correct Answer: 31/3
Explanation:
Let principle = Rs. P
Then S.I = P/9
Let Rate = R% per annum and time = R years
Then, as we know SI = (P x R x T) / 100.
? P/9 = ( P x R x R) / 100
? R2 = 100/9
? R = 10/3 = 31/3 % per annum
Correct Answer: 4%
Explanation:
Let the sum be Rs 'y' and , rate of interest = R%
Simple Interest for 2 yr =Rs( 625 - 575 ) = Rs 50
? Sum of money, y=Rs( 575 - 75)= Rs 500
? R= [(100 x SI)/(Sum x Time)]
=[(100x 75)/(500 x 3)]=5 %
Correct Answer: Rs (100/x)
Explanation:
As Sum = [(100 x SI)/(Time x Rate)]
here, let R =x%, T=x yr, and, SI=Rs x
? Sum=[(100 × x)/(x × x)]
=(100/x)
Correct Answer: Not possible
Explanation:
Let the sum be Rs 'y'
Since Simple Interest = Rs ( y / 2)
and, T = 6 yr , R = 10% per annum
So Simple Interest, SI = (P x R x T)/100
where, R = Rate
T = Time
SI= Simple Interest
now, According to problem, ( y / 2 ) = ( y x 10 x 6)/100
? (1/2)=(6/10)
? which is not true, so it is not a possible case.
Correct Answer: 2.5%
Explanation:
S.I for 3 years = Rs. (1350 - 1260) = Rs. 90
S.I for 2 years = Rs.(90/3) x 2 = Rs . 60
? Sum = Rs. (1260 - 60) = Rs. 1200
? Rate = (100 x SI) / (P x T) = (100 x 60) / (1200 x 2) = 2.5%
Correct Answer: 5%
Explanation:
Let rate = R% per annum.
Then, [(600 x R x 2)/ 100 ] + [(150 x R x 4 ) / 100] = 90
? 18R = 90
? R = 5%
Correct Answer: Rs. 992
Explanation:
Principal = Rs. 800
S.I. = Rs. (920 - 800) = Rs. 120
and Time = 3 years
? Original rate = (100 x SI) / (P x T) = (100 x 120) / ( 800 x 3) = 5%
New rate = 8%
Now, S.I . = Rs.(800 x 8 x 3) /100 = Rs. 192
? Amount = Rs. (800 + 192)
= Rs. 992
Correct Answer: Data inadequate
Explanation:
Let, Sum = P
Then S.I = P/2
Rate = 8%
and Time = 6 years
But P/2 = (P x 8 x 6) /100 (Not possible )
Thus, data is inadequate.
Correct Answer: 81/3%
Explanation:
Let rate = R% per annum. Then,
(1200 x R x 3)/100 - (1000 x R x 3)/100 = 50
? 6R = 50
? R = 81/3
? Rate = 81/3% per annum
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