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Aptitude - True Discount

Exercise : True Discount - General Questions
11.
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?
Rs. 10
Rs. 10.40
Rs. 15.20
Rs. 13
Answer: Option
Explanation:

S.I. on Rs. (260 - 20) for a given time = Rs. 20.

S.I. on Rs. 240 for half the time = Rs. 10.

T.D. on Rs. 250 = Rs. 10.

T.D. on Rs. 260 = Rs. 10 x 260 = Rs. 10.40
250

12.
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:
12%
14%
15%
16 2 %
3
Answer: Option
Explanation:

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

13.
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:
Rs. 1800
Rs. 1450
Rs. 1360
Rs. 6800
Answer: Option
Explanation:

Sum = S.I. x T.D. = 85 x 80 = Rs. 1360.
(S.I.) - (T.D.) (85 - 80)

14.
The present worth of Rs. 1404 due in two equal half-yearly installments at 8% per annum simple interest is:
Rs. 1325
Rs. 1300
Rs. 1350
Rs. 1500
Answer: Option
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
= Rs. (675 + 650)
= Rs. 1325.
15.
If the true discount on s sum due 2 years hence at 14% per annum be Rs. 168, the sum due is:
Rs. 768
Rs. 968
Rs. 1960
Rs. 2400
Answer: Option
Explanation:

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.

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