Quantitative Aptitude
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Question 11
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:
Correct Answer: Option C
| Sum = | S.I. x T.D. | = | 85 x 80 | = Rs. 1360. |
| (S.I.) - (T.D.) | (85 - 80) |
Question 12
The present worth of Rs. 1404 due in two equal half-yearly instalments at 8% per annum simple interest is:
Correct Answer: Option A
| Required sum | = P.W. of Rs. 702 due 6 months + P.W. of Rs. 702 due 1 year hence | |||||||||||||
|
||||||||||||||
| = Rs. (675 + 650) | ||||||||||||||
| = Rs. 1325. |
Question 13
If the true discount on s sum due 2 years hence at 14% per annum be Rs. 168, the sum due is:
Correct Answer: Option A
| P.W. = | 100 x T.D. | = | 100 x 168 | = 600. |
| R x T | 14 x 2 |
Sum = (P.W. + T.D.) = Rs. (600 + 168)
= Rs. 768.
Question 14
The interest on Rs. 750 for 2 years is the same as the true discount on Rs. 960 due 2 years hence. If the rate of interest is the same in both cases, it is:
Correct Answer: Option B
S.I. on Rs. 750 = T.D. on Rs. 960.
This means P.W. of Rs. 960 due 2 years hence is Rs. 750.
T.D. = Rs. (960 - 750) = Rs. 210.
Thus, S.I. on R.s 750 for 2 years is Rs. 210.
| Rate = |
 |
100 x 210 |  % |
= 14% |
| 750 x 2 |
Question 15
If the true discount on Rs.4510 due 6 months hence is Rs.110, the rate of interest is:
Correct Answer: Option A
P.W. = Rs. (4510 - 110) = Rs. 4400.
S.I. on Rs. 4400 for 6 months is Rs. 110.
| Rate = |
 |
100 x 110 |  % |
= 5%. |
|
Question 16
The true discount on Rs. 2562 due 4 months hence is Rs. 122. The rate percent is:
Correct Answer: Option C
P.W. = Rs. (2562 - 122) = Rs. 2440.
S.I. on Rs. 2440 for 4 months is Rs. 122.
| Rate = |
|
100 x 122 | % |
= 15%. |
|
Question 17
A man owes a lender Rs.20502 due 1 year hence. If the man wants to settle the account after 8 months and the rate of interest being 6% per annum, find the amount the man should pay to the lender.
Correct Answer: Option B
Required amount = present worth of Rs. 20502 due 4 months hence.
| P.W. = Rs. |  |
20502 x 100 |  |
= Rs. 20100. |
| 100 + (6 x 4/12) |
Question 18
A man purchased a bicycle for Rs.4800 and sold it immediately at Rs.5995, allowing the buyer a credit of one and a half years. If the rate of interest is 6%, then the man gains:
Correct Answer: Option A
Cost Price = Rs. 4800.
Selling price (P.W. of Rs. 5995 due 1.5 years hence)
| P.W. = Rs. | |
5995 x 100 | |
= Rs. 5500. |
| 100 + (6 x 1.5) |
Gain = 5500 - 4800 = Rs. 700