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01.

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

A.	Rs 1,386	B.	Rs 1,764
C.	Rs 1,575	D.	Rs 2,268

Answer and Explanation

Answer: Rs 1,764

Explanation:
Let the PW be Rs x. Then, SI on Rs x a 16% for 9 months = Rs 189.
Hence, x * 16 * 9/12 * 1/100 = 180 or x = 1575
Hence, PW = Rs 1575
Hence, Sum due = PW + TD = Rs (1575 + 189) = Rs 1,764

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02.

The interest on Rs 750 for 2 yrs is the same as the true discount on Rs 960 due 2 yrs hence. If the rate of interest is the same in both cases, it is

A.	12%	B.	14%
C.	15%	D.	16 2/3%

Answer and Explanation

Answer: 14%

Explanation:
SI on Rs 750 = TD on Rs 960
This means PW of Rs 960 due 2 yrs hence is Rs 750.
Hence, TD = Rs (960 â€“ 750) = Rs 210
Thus, SI on Rs 750 for 2 yrs is Rs 210
Hence, Rate = (100 * 210) / (750 * 2) = 14%

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03.

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

A.	Rs 1,800	B.	Rs 1,450
C.	Rs 1,360	D.	Rs 6,800

Answer and Explanation

Answer: Rs 1,360

Explanation:
Sum = (SI * TD) / (SI) â€“ (TD) = (85 * 80) / (85 â€“ 80) = Rs 1,360

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04.

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 to the end of double the time is

A.	Rs 20	B.	Rs 21.81
C.	Rs 22	D.	Rs 18.33

Answer and Explanation

Answer: Rs 18.33

Explanation:
SI on Rs (110 â€“ 10) for a certain time = Rs 10
SI on Rs 100 for double the time = Rs 20
TD on Rs 120 = Rs (120 â€“ 100) = Rs 20
TD on Rs 110 = Rs (20/120 * 110) = Rs 18.33

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