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Q:

The true discount on a bill due 9 months hence at 12% per annum is Rs. Find the amount of the bill and its present worth.

A) 1500 B) 1600
C) 6200 D) 6000
 
Answer & Explanation Answer: D) 6000

Explanation:

Let amount be Rs. x. 

Then,  [X * R * T] / [100+(R * T)]  

x×12×34100+12×34 = 540 

x=  Rs.6540  

Amount = Rs. 6540.  

P.W. = Rs. (6540 – 540) =Rs. 6000.

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Q:

The true discount on a bill due 9 months hence at 16% per annum is Rs. 189. The amount of the bill is

A) 1200 B) 1764
C) 1600 D) 1354
 
Answer & Explanation Answer: B) 1764

Explanation:

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Q:

The true discount on Rs. 2562 due 4 months hence is Rs. 122. The rate percent is?

A) 12% B) 13%
C) 15% D) 14%
 
Answer & Explanation Answer: C) 15%

Explanation:

P.W = 2562-122 =Rs.2440   

Rate = [100 x 122] / [2440 x (1/3)] =15%

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Q:

A trader owes a maerchant Rs10028 due 1yr hence The trader wants to settle the account after 3 months .If the rate of interest is 12%per annum How much cash should he pay?

A) Rs.9000 B) Rs.9002
C) Rs.9200 D) Rs.9120
 
Answer & Explanation Answer: C) Rs.9200

Explanation:

Required Money = P.W of Rs. 10028 due 9 months hence  

= Rs.[10028 x 100] / [100+(12 x 9/12)] =Rs.9200

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Q:

The present worth of a bill due sometime hence is Rs. 1100 and the true discount on the bill is Rs. 110. Find the banker's discount and the banker's gain.

A) Rs.145 B) Rs.136
C) Rs.121 D) Rs.112
 
Answer & Explanation Answer: C) Rs.121

Explanation:

T.D. =Ö(P.W.*B.G)

B.G. =(T.D.)2/ P.W.      

       = Rs.[(110x110)/ 1100]

       = Rs. 11.

 

B.D.= (T.D. + B.G.) = Rs. (110 + 11) = Rs. 121.

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Q:

The interest on Rs.750 for 2yrs is the same as the True Discount on Rs.960 due 2yrs hence . If the rate of interest is same in both cases,it is:

A) 12% B) 14%
C) 15% D) 16
 
Answer & Explanation Answer: B) 14%

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 

Therefore , T.D= Rs. (960 - 750) = Rs. 210 

Thus, S.I on Rs. 750 for 2 years is Rs. 210 

Rate =[ (100 x 210) / (750 x 2) ] % = 14%

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Q:

The true discount on Rs.2562 due 4 months hence is Rs.122.The rate % is?

A) 12% B) 13 (1/3)%
C) 15% D) 14%
 
Answer & Explanation Answer: A) 12%

Explanation:

P.W = Rs.( 2562 - 122) = Rs.2440 

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

Rate = (100 x 122)/(2440 x [1/3]) % = 15%

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Q:

If the truediscount on a sum due 2yrs hence at 14% per annum be Rs168. The sum due is?

A) 700 B) 760
C) 768 D) 786
 
Answer & Explanation Answer: C) 768

Explanation:

P.W = (100 x T.D)/(R x T)  = (100 x 168)/(14 x 2)= 600 

Sum = (P.W + T.D) = Rs. (600+ 168) = Rs.768.

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