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Quantitative Aptitude > Discount

DISCOUNT COMBINED MCQs

Total Questions : 712 | Page 4 of 72 pages
Question 31.

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:

  1.    0%
  2.    5%
  3.    7.5%
  4.    10%
 Discuss Question
Answer: Option A. -> 0%

C.P. = Rs. 3000.


S.P. = Rs.   \(\left[\frac{3600\times100}{100+(10\times2)}\right]\)   = Rs. 3000.


Gain = 0%.

Question 32.

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

  1.    12%
  2.     \(13\frac{1}{3}\) %
  3.    15%
  4.    14%
 Discuss Question
Answer: Option C. -> 15%

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


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


 Therefore Rate =    \(\left[\frac{100\times122}{2440\times\frac{1}{3}}\right]\)   % = 15%

Question 33.

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?

  1.    Rs. 9025.20
  2.    Rs. 9200
  3.    Rs. 9600
  4.    Rs. 9560
 Discuss Question
Answer: Option B. -> Rs. 9200

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


= Rs. \(\left[\frac{10028\times100}{100+\left(12\times\frac{9}{12}\right)}\right]\)


= Rs. 9200.

Question 34.

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?

  1.    Rs. 12,000 in cash
  2.    s. 12,880 at credit
  3.    Both are equally good
 Discuss Question
Answer: Option A. -> Rs. 12,000 in cash

P.W. of Rs. 12,880 due 8 months hence = Rs. \(\left[\frac{12880\times100}{100+\left(18\times\frac{8}{12}\right)}\right]\)


= Rs. \(\left(\frac{12880\times100}{112}\right)\)


= Rs.11500.

Question 35.

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:

  1.    Rs. 20
  2.    Rs. 21.81
  3.    Rs. 22
  4.    Rs. 18.33
 Discuss Question
Answer: Option D. -> Rs. 18.33

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.  \(\left(\frac{20}{120}\times110\right)\)  = Rs. 18.33

Question 36.

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?

  1.    Rs. 12,000 in cash
  2.    s. 12,880 at credit
  3.    Both are equally good
 Discuss Question
Answer: Option A. -> Rs. 12,000 in cash

P.W. of Rs. 12,880 due 8 months hence = Rs. \(\left[\frac{12880\times100}{100+\left(18\times\frac{8}{12}\right)}\right]\)


= Rs. \(\left[\frac{12880\times100}{100+\left(18\times\frac{8}{12}\right)}\right]\)


= Rs. 11500.

Question 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:

  1.    Rs. 20
  2.    Rs. 21.81
  3.    Rs. 22
  4.    Rs. 18.33
 Discuss Question
Answer: Option D. -> Rs. 18.33

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. \(\left(\frac{12}{120}\times110\right)\)    = Rs. 18.33

Question 38.

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:

  1.     \(16\frac{2}{3}\) %
  2.     \(14\frac{1}{2}\) %
  3.      \(13\frac{1}{3}\) %
  4.    15%
 Discuss Question
Answer: Option A. ->  \(16\frac{2}{3}\) %

S.P. = 102% of Rs. 600 = \(\left(\frac{102}{100}\times600\right)\)  = Rs. 612.


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


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


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


So, Rate =    \(\left(\frac{100\times76.50}{612\times\frac{3}{4}}\right)\) % =  \(16\frac{2}{3} \)  %

Question 39.

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

  1.    Rs. 1386
  2.    Rs. 1764
  3.    Rs. 1575
  4.    Rs. 2268
 Discuss Question
Answer: Option B. -> Rs. 1764

Let P.W. be Rs. x.


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


So,  x x 16 x  \(\frac{9}{12}\times\frac{1}{100}\)  = 189 or x = 1575.


So, P.W. = Rs. 1575.


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

Question 40.

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:

  1.    gains Rs. 55
  2.    gains Rs. 50
  3.    loses Rs. 30
  4.    gains Rs. 30
 Discuss Question
Answer: Option B. -> gains Rs. 50

S.P. = P.W. of Rs. 2200 due 1 year hence


= Rs. \(\left[\frac{2200\times100}{100+(10\times1)}\right]\)


= Rs. 2000.


 Therefore Gain = Rs. (2000 - 1950) = Rs. 50.

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