100+ True Discount Questions for SSC & UPSC Exams - 1
Question: 1
True discount on Rs.3024 due 6 months hence is Rs.144. The rate percent is
(A) 6%
(B) 7%
(C) 8%
(D) 10%
Ans: D
P.W. = Rs. (3024 - 144) = Rs. 2880.
∴ S.I. on Rs. 2880 for 6 months = Rs. 144.
∴ Rate Percent = $$({144 × 100} / {2880 × 1/2})$$% = 10%.
Question: 2
A man wants to sell his scooter. There are two offers one at Rs.12,000 cash and the other at a credit of Rs.12,880 to be paid after 8 months, money being at 18% per annum. Which is the best offer?
(A) Rs. 12,000 in cash
(B) Rs. 12,880 at credit
(C) Both are equally good
(D) None of these
Ans: A
P.W. of Rs. 12,800 due 8 months hence
= Rs. [$${12880 × 100} / {100 + (18 × {8}/{12})$$]
= Rs. $$({12880 × 100} / {112})$$ = Rs. 11500.
Clearly, Rs. 12,000 in cash is a better offer.
Question: 3
The present worth of Rs.1404 due in two equal half yearly installments at 8% per annum simple interest is
(A) Rs. 1300
(B) Rs. 1325
(C) Rs. 1350
(D) Rs. 1500
Ans: B
Required sum = P.W. of Rs. 702 due 6 months hence
= Rs. $$[({100 × 702} / {100 + 8 × {1/2}}) + ({100 × 702} / {100 + (8 × 1)})]$$
= Rs. (675 + 650) = Rs. 1325.
Question: 4
A trader owes a merchant Rs.10,028 due 1 year hence. The trader wants to settle the account after 3 months. If the rate of interest is 12% per annum, how much cash should he pay?
(A) Rs. 9200
(B) Rs. 9300
(C) Rs. 9500
(D) Rs. 9700
Ans: A
Required money = P.W. of Rs. 10028 due 9 months hence
= Rs. $$[{10028 × 100} / {100 + (12 × {9/12}})]$$ = Rs. 9200.
Question: 5
The true discount on Rs.2562 due 4 months hence is Rs.122. The rate percent is
(A) 12%
(B) 13%
(C) 14%
(D) 15%
Ans: D
P.W. = Rs. (2562 - 122) = Rs. 2440.
∴ S.I. on Rs. 2440 for 4 months is Rs. 122.
∴ Rate = $$({100 × 122} / {2440 × {1/3}})$$% = 15%.
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