The true discount on a bill due 9 months hence at 16% per annum is Rs. 189. The

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Question
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

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.

True Discount problems

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1. 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%

2. 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

3. Rs. 20 is the true discount on Rs. 260 due after a certain time. What will be the true discount on the same sum due after half of the former time, the rate of interest being the same?
Options
A. Rs. 10
B. Rs. 10.40
C. Rs. 15.20
D. Rs. 13

4. The true discount on Rs. 1760 due after a certain time at 12% per annum is Rs. 160. The time after which it is due is:
Options
A. 6 months
B. 8 months
C. 9 months
D. 10 months

5. A man purchased a cow for Rs. 3000 and sold it the same day for Rs. 3600, allowing the buyer a credit of 2 years. If the rate of interest be 10% per annum, then the man has a gain of:
Options
A. 0%
B. 5%
C. 7.5%
D. 10%

6. 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%

7. 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

8. 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

9. 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

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