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- Question
The present worth of Rs. 2310 due 2½ years hence, the rate of interest being 15% per annum, is:
Options- A. Rs. 1750
- B. Rs. 1680
- C. Rs. 1840
- D. Rs. 1443.75
- Correct Answer
- Rs. 1680
ExplanationP.W. = Rs. [ 100 x 2310 ] = Rs. 1680. 100 + ❨ 15 x 5 ❩ 2
True Discount problems
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- 1. The simple interest and the true discount on a certain sum for a given time and at a given rate are Rs. 85 and Rs. 80 respectively. The sum is:
Options- A. Rs. 1800
- B. Rs. 1450
- C. Rs. 1360
- D. Rs. 6800 Discuss
Correct Answer: Rs. 1360
Explanation:
Sum = S.I. x T.D. = 85 x 80 = Rs. 1360. (S.I.) - (T.D.) (85 - 80) - 2. Goods were bought for Rs. 600 and sold the same for Rs. 688.50 at a credit of 9 months and thus gaining 2% The rate of interest per annum is:
Options- A.
16 2 % 3 - B.
14 1 % 2 - C.
13 1 % 3 - D. 15% Discuss
Correct Answer:16 2 % 3
Explanation:
S.P. = 102% of Rs. 600 = ❨ 102 x 600 ❩ = Rs. 612. 100 Now, P.W. = Rs. 612 and sum = Rs. 688.50.
∴ T.D. = Rs. (688.50 - 612) = Rs. 76.50.
Thus, S.I. on Rs. 612 for 9 months is Rs. 76.50.
∴ Rate = ❨ 100 x 76.50 ❩% = 16⅔% 612 x 3 4 - 3. The true discount on a bill due 9 months hence at 16% per annum is Rs. 189. The amount of the bill is:
Options- A. Rs. 1386
- B. Rs. 1764
- C. Rs. 1575
- D. Rs. 2268 Discuss
Correct Answer: Rs. 1764
Explanation:
Let P.W. be Rs. x.Then, S.I. on Rs. x at 16% for 9 months = Rs. 189.
∴ x x 16 x 9 x 1 = 189 or x = 1575. 12 100 ∴ P.W. = Rs. 1575.
∴ Sum due = P.W. + T.D. = Rs. (1575 + 189) = Rs. 1764.
- 4. The true discount on Rs. 2562 due 4 months hence is Rs. 122. The rate percent is:
Options- A. 12%
- B.
13 1 % 3 - C. 15%
- D. 14% Discuss
Correct Answer: 15%
Explanation:
P.W. = Rs. (2562 - 122) = Rs. 2440.∴ S.I. on Rs. 2440 for 4 months is Rs. 122.
∴ Rate = [ 100 x 122 ]% = 15%. 2440 x 1 3 - 5. The present worth of Rs. 1404 due in two equal half-yearly installments at 8% per annum simple interest is:
Options- A. Rs. 1325
- B. Rs. 1300
- C. Rs. 1350
- D. Rs. 1500 Discuss
Correct Answer: Rs. 1325
Explanation:
Required sum = P.W. of Rs. 702 due 6 months + P.W. of Rs. 702 due 1 year hence = Rs. [ ❨ 100 x 702 ❩ + ❨ 100 x 702 ❩ 100 + (8 x 1) ] 100 + 8 x ½ = Rs. (675 + 650) = Rs. 1325. - 6. A man wants to sell his scooter. There are two offers, one at Rs. 12,000 cash and the other a credit of Rs. 12,880 to be paid after 8 months, money being at 18% per annum. Which is the better offer?
Options- A. Rs. 12,000 in cash
- B. s. 12,880 at credit
- C. Both are equally good Discuss
Correct Answer: Rs. 12,000 in cash
Explanation:
P.W. of Rs. 12,880 due 8 months hence = Rs. [ 12880 x 100 ] 100 + ❨ 18 x 8 ❩ 12 = Rs. ❨ 12880 x 100 ❩ 112 = Rs. 11500. - 7. 3, 5, 11, 14, 17, 21
Options- A. 21
- B. 17
- C. 14
- D. 3 Discuss
Correct Answer: 14
Explanation:
Each of the numbers except 14 is an odd number.The number '14' is the only EVEN number.
- 8. 8, 27, 64, 100, 125, 216, 343
Options- A. 27
- B. 100
- C. 125
- D. 343 Discuss
Correct Answer: 100
Explanation:
The pattern is 2 3, 3 3, 4 3, 5 3, 6 3, 7 3. But, 100 is not a perfect cube.- 9. 10, 25, 45, 54, 60, 75, 80
Options- A. 10
- B. 45
- C. 54
- D. 75 Discuss
Correct Answer: 54
Explanation:
Each of the numbers except 54 is multiple of 5.- 10. 396, 462, 572, 427, 671, 264
Options- A. 396
- B. 427
- C. 671
- D. 264 Discuss
Correct Answer: 427
Explanation:
In each number except 427, the middle digit is the sum of other two.
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