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True Discount - General Questions (2)

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  • True Discount
  • True Discount - General Questions
9. 

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. 1386
B. Rs. 1764
C. Rs. 1575
D. Rs. 2268

Answer: Option B

Explanation:

Let P.W. be Rs. x.

Then, S.I. on Rs. x at 16% for 9 months = Rs. 189.

 x x 16 x 9 x 1 = 189 or x = 1575.
12 100

 P.W. = Rs. 1575.

 Sum due = P.W. + T.D. = Rs. (1575 + 189) = Rs. 1764.

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10. 

Goods were bought for Rs. 600 and sold the same for Rs. 688.50 at a credit of 9 months and thus gaining 2% The rate of interest per annum is:

A. 16 2/3 %
B. 14 1/2 %
C. 13 1/3 %
D. 15%

Answer: Option A

Explanation:

S.P. = 102% of Rs. 600 = 1-sym-oparen-h1 102 x 600 1-sym-cparen-h1 = Rs. 612.
100

Now, P.W. = Rs. 612 and sum = Rs. 688.50.

 T.D. = Rs. (688.50 - 612) = Rs. 76.50.

Thus, S.I. on Rs. 612 for 9 months is Rs. 76.50.

 Rate = 1-sym-oparen-h1 100 x 76.50 1-sym-cparen-h1% = 16%
612 x 3
4
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11. 

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: 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. 1-sym-oparen-h1 20 x 110 1-sym-cparen-h1 = Rs. 18.33
120
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12. 

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: Option A

Explanation:

P.W. of Rs. 12,880 due 8 months hence

= Rs. 1-sym-obracket-h1 12880 x 100 1-sym-cbracket-h1
100 + 1-sym-oparen-h1 18 x 8 1-sym-cparen-h1
12

 

= Rs. 1-sym-oparen-h1 12880 x 100 1-sym-cparen-h1
112

 = Rs. 11500.

 

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13. 

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: Option B

Explanation:

Required money = P.W. of Rs. 10028 due 9 months hence
 
= Rs. 1-sym-obracket-h1 10028 x 100 1-sym-cbracket-h1
100 + 1-sym-oparen-h1 12 x 9 1-sym-cparen-h1
12
  = Rs. 9200.
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14. 

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: Option C

Explanation:

P.W. = Rs. (2562 - 122) = Rs. 2440.

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

 Rate = 1-sym-obracket-h1 100 x 122 1-sym-cbracket-h1% = 15%.
2440 x 1
3
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15. 

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: Option A

Explanation:

C.P. = Rs. 3000.

S.P. = Rs. 1-sym-obracket-h1 3600 x 100 1-sym-cbracket-h1 = Rs. 3000.
100 + (10 x 2)

Gain = 0%.

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