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True Discount - General Questions

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  • True Discount - General Questions
1. 

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: Option A

Explanation:

 

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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2. 

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: Option A

Explanation:

Required sum = P.W. of Rs. 702 due 6 months + P.W. of Rs. 702 due 1 year hence
 
= Rs. 1-sym-obracket-h1 1-sym-oparen-h1 100 x 702 1-sym-cparen-h1 +
1-sym-oparen-h1 100 x 702 1-sym-cparen-h1
100 + (8 x 1)
1-sym-cbracket-h1
100 + 8 x 
  = Rs. (675 + 650)
  = Rs. 1325.
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3. 

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: Option C

Explanation:

 

Sum = S.I. x T.D. = 85 x 80 = Rs. 1360.
(S.I.) - (T.D.) (85 - 80)
 
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4. 

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: Option B

Explanation:

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 = 1-sym-oparen-h1 100 x 210 1-sym-cparen-h1% = 14%
750 x 2
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5. 

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: Option B

Explanation:

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. 1-sym-oparen-h1 10 x 260 1-sym-cparen-h1 = Rs. 10.40
250
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6. 

The present worth of Rs. 2310 due 21-div-1by2 years hence, the rate of interest being 15% per annum, is:

A. Rs. 1750
B. Rs. 1680
C. Rs. 1840
D. Rs. 1443.75

Answer: Option B

Explanation:

P.W. = Rs.1-sym-obracket-h1100 x 23101-sym-cbracket-h1= Rs. 1680.

100 + 1-sym-oparen-h1 15 x 5 1-sym-cparen-h1
2

 

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7. 

The true discount on Rs. 1760 due after a certain time at 12% per annum is Rs. 160. The time after which it is due is:

A. 6 months
B. 8 months
C. 9 months
D. 10 months

Answer: Option D

Explanation:

P.W. = Rs. (1760 -160) = Rs. 1600.

 S.I. on Rs. 1600 at 12% is Rs. 160.

 Time = 1-sym-oparen-h1 100 x 160 1-sym-cparen-h1 = 5 years = 1-sym-oparen-h1 5 x 12 1-sym-cparen-h1months = 10 months.
1600 x 12 6 6
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8. 

A man buys a watch for Rs. 1950 in cash and sells it for Rs. 2200 at a credit of 1 year. If the rate of interest is 10% per annum, the man:

A. gains Rs. 55
B. gains Rs. 50
C. loses Rs. 30
D. gains Rs. 30

Answer: Option B

Explanation:

S.P. = P.W. of Rs. 2200 due 1 year hence
 
= Rs. 1-sym-obracket-h1 2200 x 100 1-sym-cbracket-h1
100 + (10 x 1)
  = Rs. 2000.

 Gain = Rs. (2000 - 1950) = Rs. 50.

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