true discount aptitude questions

1.

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:
A.     0%    B.     5%
C.     7.5%    D.     10%
Answer & Explanation

Answer: Option A

Explanation:

C.P. = Rs. 3000.

S.P. = Rs.         3600 x 100         = Rs. 3000.
100 + (10 x 2)

Gain = 0%.

2.

The true discount on Rs. 2562 due 4 months hence is Rs. 122. The rate percent is:
A.     12%    B.
13     1     %
3
C.     15%    D.     14%
Answer & Explanation

Answer: Option C

Explanation:

P.W. = Rs. (2562 – 122) = Rs. 2440.

S.I. on Rs. 2440 for 4 months is Rs. 122.

Rate =         100 x 122     %     = 15%.
2440 x     1
3

3.

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?
A.     Rs. 9025.20    B.     Rs. 9200
C.     Rs. 9600    D.     Rs. 9560
Answer & Explanation

Answer: Option B

Explanation:

Required money     = P.W. of Rs. 10028 due 9 months hence

= Rs.         10028 x 100
100 +         12 x     9
12
= Rs. 9200.

4.

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?
A.     Rs. 12,000 in cash    B.     s. 12,880 at credit
C.     Both are equally good
Answer & Explanation

Answer: Option A

Explanation:

P.W. of Rs. 12,880 due 8 months hence
= Rs.         12880 x 100
100 +         18 x     8
12

= Rs.         12880 x 100
112
= Rs. 11500.

5.

If Rs. 10 be allowed as true discount on a bill of Rs. 110 due at the end of a certain time, then the discount allowed on the same sum due at the end of double the time is:
A.     Rs. 20    B.     Rs. 21.81
C.     Rs. 22    D.     Rs. 18.33
Answer & Explanation

Answer: Option D

Explanation:

S.I. on Rs. (110 – 10) for a certain time = Rs. 10.

S.I. on Rs. 100 for double the time = Rs. 20.

T.D. on Rs. 120 = Rs. (120 – 100) = Rs. 20.

T.D. on Rs. 110 = Rs.         20     x 110         = Rs. 18.33
120

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