ExamAdept

If the true discount on s sum due 2 years hence at 14% per annum be Rs. 168, the sum due is:

A:

Rs. 768

B:

Rs. 968

C:

Rs. 1960

D:

Rs. 2400

Answer: A

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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The present worth of Rs. 1404 due in two equal half-yearly installments at 8% per annum simple interest is:

A:

Rs. 1325

B:

Rs. 1300

C:

Rs. 1350

D:

Rs. 1500

Answer: A

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.

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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. 1800

B:

Rs. 1450

C:

Rs. 1360

D:

Rs. 6800

Answer: C

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

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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:

A:

12%

B:

14%

C:

15%

D:

16	2	%
	3

Answer: B

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

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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?

A:

Rs. 10

B:

Rs. 10.40

C:

Rs. 15.20

D:

Rs. 13

Answer: B

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

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Questions for: True Discount