Aptitude - True Discount
6.
The true discount on Rs. 2580 due after some time at 6% p.a. is Rs. 180. After how much time is the sum due ?
Answer
P.W. = Rs. (2580 − 180) = Rs. 2400.
S.I. on Rs. 2400 t 6% p.a. is Rs. 180.
∴ Time = 100 x 1802400 x 6 years = 54 years = 1 year 3 months.
Answer :
Option CExplanation :
P.W. = Rs. (2580 − 180) = Rs. 2400.
S.I. on Rs. 2400 t 6% p.a. is Rs. 180.
∴ Time = 100 x 1802400 x 6 years = 54 years = 1 year 3 months.
7.
A man buys a watch for Rs. 1950 in cash and sells it for Rs. 2160 at a credit of 1 year. If the rate of interest is 8% p.a., then the man has :
Answer
C.P. = Rs. 1950
S.P. = P.W. of Rs. 2160 due 1 years hence
= Rs. (100 x 2160)100 + (8 x 1) = Rs. 2000 in cash
∴ Gain = Rs. (2000 − 1950) = Rs. 50.
Answer :
Option BExplanation :
C.P. = Rs. 1950
S.P. = P.W. of Rs. 2160 due 1 years hence
= Rs. (100 x 2160)100 + (8 x 1) = Rs. 2000 in cash
∴ Gain = Rs. (2000 − 1950) = Rs. 50.
8.
The T.D. on Rs. 960 due 2 years hence is equal to the S.I. on Rs. 750 for 2 years. What is the rate of interest p.a.?
Answer
S.I. on Rs. 750 for 2 years = T.D. on Rs. 960 due 2 years hence
∴ P.W. of Rs. 960 due 2 years hence = Rs. 750
∴ T.D. = Rs. (960 − 750) = Rs. 210
∴ Rate = (100 x 210)750 x 2 % p.a. = 14% p.a.
Answer :
Option BExplanation :
S.I. on Rs. 750 for 2 years = T.D. on Rs. 960 due 2 years hence
∴ P.W. of Rs. 960 due 2 years hence = Rs. 750
∴ T.D. = Rs. (960 − 750) = Rs. 210
∴ Rate = (100 x 210)750 x 2 % p.a. = 14% p.a.
9.
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 12% per annum, how much cash should he pay ?
Answer
Payment to be made = P.W. of Rs. 10028 due 9 months hence
= Rs. 100 x 10028100 + (12 x 9 ÷ 12) = (100 x 10028)109 = Rs. 9200
Answer :
Option AExplanation :
Payment to be made = P.W. of Rs. 10028 due 9 months hence
= Rs. 100 x 10028100 + (12 x 9 ÷ 12) = (100 x 10028)109 = Rs. 9200
10.
The true discount on a bill due 10 months hence at 6% p.a. is 26.25. Find the amount of the bill.
Answer
T.D = Rs. 26.25, T = 1012 year, R = 6% p.a.
Let P.W. be Rs. p. Then,
S.I. on Rs. p at 6% p.a. for 1012 year is Rs. 26.25.
∴ p x 6 x 10/12100 = 26.25 ⇒ p = (26.25 x 20) = 525
∴ P.W. = Rs. 525
Amount = P.W. + T.D. = Rs. (525 + 26.25) = Rs. 551.25
Answer :
Option DExplanation :
T.D = Rs. 26.25, T = 1012 year, R = 6% p.a.
Let P.W. be Rs. p. Then,
S.I. on Rs. p at 6% p.a. for 1012 year is Rs. 26.25.
∴ p x 6 x 10/12100 = 26.25 ⇒ p = (26.25 x 20) = 525
∴ P.W. = Rs. 525
Amount = P.W. + T.D. = Rs. (525 + 26.25) = Rs. 551.25
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