True Discount Questions

Q:

The difference between Simple Interest and True Discount on a certain sum of money for 6 months at % per annum is Rs 25. Find the sum.

A) Rs.6800 B) Rs.6500
C) Rs.6000 D) Rs.6200
 
Answer & Explanation Answer: A) Rs.6800

Explanation:

Let amount be Rs.x

T.D = \inline \fn_jvn \frac{x\times \frac{25}{2}\times \frac{1}{2}}{100+\left ( \frac{25}{2}\times \frac{1}{2} \right )}  =\inline \fn_jvn \frac{x}{17} 

S.I = \inline \fn_jvn \frac{x\times \frac{25}{2}\times \frac{1}{2}}{100} =\inline \fn_jvn \frac{x}{16}

\fn_jvn \therefore  \fn_jvn \frac{x}{16}-\frac{x}{17}=25  \fn_jvn \Rightarrow  \inline \fn_jvn 17x-16x=25\times 16\times 17  \inline \fn_jvn \Rightarrow \inline \fn_jvn x=6800

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Q:

The profit earned by selling an article for Rs 900 is double the loss incurred when the same article is sold for Rs.490. At what price should the article be sold to make 25% profit?

A) 715 B) 469
C) 400 D) 750
 
Answer & Explanation Answer: D) 750

Explanation:

Let C.P be Rs. x

900 - x = 2(x - 450)

=> x = Rs.600 

 

 C.P = 600 gain required is 25%

 S.P = [(100+25)*600]/100

      = Rs.750

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7 4395
Q:

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 & Explanation Answer: B) gains Rs. 50

Explanation:

ke

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Q:

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 & Explanation Answer: A) 0%

Explanation:

C.P =Rs.3000

S.P =\inline {\color{Black}Rs.[\frac{3600\times 100}{100+(10\times 2)}]=Rs.3000}

Gain =0%

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9 3517
Q:

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?

A) Rs.12880 B) Rs.12000
C) Both are equally good D) None of the above
 
Answer & Explanation Answer: B) Rs.12000

Explanation:

PW of Rs.12,880 due 8 months hence

        = Rs\inline \fn_jvn \left [ \left ( \frac{12880\times 100}{100+(18\times \frac{8}{12})} \right ) \right ] =Rs.11500

Clearly 12000 in cash is a better offer.

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