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True Discount

Important Instructions
31.

A man wants to sell his scooter .There are two offers one at Rs12000 cash and other at a credit of Rs12880 to be paid after 8 months ,money being at 18% per annum which is better offer?

Answer: B

PW of Rs.12,880 due 8 months hence  

= Rs. [12880 x 100] / [100+(18 x 8/12)] =Rs.11500 

Clearly 12000 in cash is a better offer.

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32.

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:

Answer: D

No answer description available for this question.

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33.

The banker’s discount on Rs. 1600 at 15% per annum is the same as true discount on Rs. 1680 for the same time and at the same rate. The time is

Answer: B

S.I. on Rs. 1600 = T.D. on Rs. 1680.
=> Rs. 1600 is the P.W. of Rs. 1680,
=> Rs. 80 is S.I. on Rs. 1600 at 15%.
=> 80 = 1600*T*15/100
=> 80 = 16*T*15
=> 5 = T*15
=> T = 1/3 year = 12/3 months
= 4 months

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34.

The banker's gain on a bill due 3 year hence at 6% per annum is Rs. 18. The true discount is:

Answer: A

T.D=(B.G * 100)/( R * T)
= 18 * 100/( 6 * 3)
= Rs. 100

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35.

Raj got a new chair for 35% discount. Had Raj got no discount, Raj would have had to pay Rs. 224 more. How much did Raj pay for the chair?

Answer: A

No answer description available for this question.

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36.

Find a single discount which is equivalent to three successive discounts of 15%, 16% & 20%.

Answer: C

Successive discount is calculated as X+Y-XY/100 %
Successive discount =15+16-15*16/100=31- 240/100=28.6 %
Successive discount =28.6+20-28.6*20/100=48.6-5.72=42.88%

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37.

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:

Answer: D

No answer description available for this question.

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38.

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:

Answer: D

No answer description available for this question.

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39.

A man buys a watch for Rs. 2825 in cash and sells it for Rs. 3300 at a credit of 1 year. If the rate of interest is 15% per annum, the man:

Answer: B

S.P. = P.W. of Rs. 3300 due 1 year hence = 3300*100/( 100+(10*1))=Rs.3000
So Gain = Rs. (3000-2825) =Rs. 175.

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40.

During monsoon clearance sale, Amit buys a shirt at double discount of 20% and 10%. At what price he bought the shirt if marked price was Rs. 1000?

Answer: A

No answer description available for this question.

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