Practice MCQ Questions and Answer on True Discount

81.

The single discount equal to three consecutive discounts of 10%, 12% and 5% ?

• (A) 35%
• (B) 32%
• (C) 24.76%
• (D) 30%

Show Answer

 Let the marked price Rs. 100 $$\eqalign{ & {\text{Final selling price}} \cr & {\text{ = 100}} \times \frac{{90}}{{100}} \times \frac{{88}}{{100}} \times \frac{{95}}{{100}} \cr & {\text{ = Rs}}{\text{. 75}}{\text{.24 }} \cr & {\text{Net discount }} \cr & {\text{ = }}\left( {100 - 75.24} \right) \cr & {\text{ = 24}}{\text{.76}}\% \cr} $$ Alternate : Single equivalent discount for 10% and 12% $$\eqalign{ & = \left( {10 + 12 - \frac{{10 \times 12}}{{100}}} \right)\% \cr & = 20.8\% \cr} $$ Single equivalent discount for 20.8% and 5% $$\eqalign{ & = \left( {20.8 + 5 - \frac{{20.8 \times 5}}{{100}}} \right)\% \cr & = 24.76\% \cr} $$

82.

A discount of $$\text{2}\frac{1}{2}\mathrm{\%}$$  is given to the customer on the marked price of an article. A man bought the article for Rs 39. The marked price of the article is = ?

• (A) Rs. 42
• (B) Rs. 36.50
• (C) Rs. 40
• (D) Rs. 41.50

Show Answer

 Discount = 2.5% \[ = \frac{{2.5}}{{100}} = \frac{1}{{40}}\begin{array}{*{20}{c}} { \to {\text{Discount}}} \\ {{\text{ }} \to {\text{Market Price}}} \end{array}\] Market Price = Rs. 40 Discount = Rs. 1 Cost Price = 40 - 1 = Rs. 39 39 → 39 Actual Cost Price 40 → Rs. 40

83.

The price of shirt is Rs. 440 and a customer pays Rs. 396 for it. The discount rate is ?

• (A) 10%
• (B) $$10\frac{1}{2}\mathrm{\%}$$
• (C) 20%
• (D) 12%

Show Answer

 $$\eqalign{ & {\text{Discount }}\% \cr & = \frac{{440 - 396}}{{440}} \times 100 \cr & = 10\% \cr} $$

84.

The simple interest and the true discount on a certain sum for a given time and at a given rate are Rs. 85 and Rs. 80 respectively. The sum is:

• (A) Rs. 1800
• (B) Rs. 1450
• (C) Rs. 1360
• (D) Rs. 6800

Show Answer

 $$\eqalign{ & {\text{Sum}} = \frac{{S.I.\, \times\, T.D.}}{{ {S.I.} - {T.D.} }} \cr & = \frac{{85 \times 80}}{{ {85 - 80} }} \cr & = Rs.\,1360 \cr} $$

85.

Maha Bazaar offers 20% discount on bags which have been marked 50% above the cost price. Amarnath pays Rs. 840 for a bag. Then the cost price of the bag is = ?

• (A) Rs. 672
• (B) Rs. 700
• (C) Rs. 790
• (D) Rs. 810

Show Answer

 Let the cost price of bag is = 100 units ∴ Marked price of the bag = 150 units Selling price of the bag : $$\eqalign{ & 150 \times \frac{{80}}{{100}} = 120{\text{ units}} \cr & {\text{120 units = Rs. 840}} \cr & {\text{1 units = 7}} \cr & {\text{100 units = Rs. 700}} \cr} $$

86.

A shopkeeper offers 10% discount on the marked price of his articles and still makes a profit of 20%. What is the actual cost of the article marked Rs. 500 for him ?

• (A) Rs. 440
• (B) Rs. 425
• (C) Rs. 400
• (D) Rs. 375

Show Answer

 $$\eqalign{ & {\text{Marked price of article }} \cr & = {\text{Rs}}{\text{. 500}} \cr & {\text{Selling price of article }} \cr & = {\text{90% }}\,{\text{of}}\,{\text{500}} \cr & = \frac{{90}}{{100}} \times 500{\text{ }} \cr & = {\text{Rs}}{\text{. 450}} \cr & {\text{Cost price of article }} \cr & = 450 \times \frac{{100}}{{120}}{\text{ }} \cr & = {\text{Rs}}{\text{. 375}} \cr} $$

87.

A shopkeeper allows a discount of 12.5% on the marked price of a certain article and makes a profit of 20%. If the article costs the shopkeeper Rs. 210, then the marked price of the article will be = ?

• (A) Rs. 387
• (B) Rs. 350
• (C) Rs. 386
• (D) Rs. 288

Show Answer

 $$\eqalign{ & {\text{Market price of the article }} \cr & {\text{ = }}210 \times \frac{{120}}{{100}} \times \frac{{100}}{{87.5}} \cr & = {\text{Rs}}{\text{. 288}} \cr} $$

88.

The marked price of an article is Rs. 500. A shopkeeper gives a discount of 5% and still makes a profit of 25%. The cost price of the article is = ?

• (A) Rs. 384
• (B) Rs. 380
• (C) Rs. 300
• (D) Rs. 376

Show Answer

 $$\eqalign{ & {\text{Cost price of the article}} \cr & {\text{ = 500}} \times \frac{{95}}{{100}} \times \frac{{100}}{{125}} \cr & = {\text{Rs}}{\text{. 380}} \cr} $$

89.

A shopkeeper gives two successive discounts on an article marked Rs. 450. The first discount given is 10 percent. If the customer pays Rs. 344.25 for the article, the second discount gives is = ?

• (A) 14%
• (B) 10%
• (C) 12%
• (D) 15%

Show Answer

 $$\eqalign{ & {\text{Marked price of an article}} \cr & = {\text{Rs}}{\text{. 450}} \cr & {\text{After 1st discount}} \cr & = {\text{450}} \times \frac{{90}}{{100}} \cr & = {\text{Rs}}{\text{. 405}} \cr & {\text{Cost price of an article}} \cr & = {\text{Rs}}{\text{. 344}}{\text{.25}} \cr & {\text{Difference}} \cr & = {\text{Rs}}{\text{. 405}} - 344.25\, \cr & = {\text{Rs}}{\text{. 60}}{\text{.75}} \cr & {\text{2nd discount}} \cr & = \frac{{60.75}}{{405}} \times 100 \cr & = 15\% \cr} $$

90.

In order to maintain the price line a trader allows a discount of 10% on the marked price of an article. However, he still makes a profit of 17% on the cost price. Had he sold the article at the marked price, he would have earned a profit percent of = ?

• (A) 30%
• (B) 32%
• (C) 33%
• (D) 35%

Show Answer

 CP SP MP     100×10       117×10       90×13     100×13 1000 1170 1300 $$\eqalign{ & \therefore {\text{L}}{\text{.C}}{\text{.M of 117 and 90}} \cr & {\text{Profit}} = {\text{1300}} - {\text{1000}} \cr & \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,{\text{ = Rs}}{\text{. 300}} \cr & {\text{Profit}} = \frac{{300}}{{1000}} \times {\text{100 }} \cr & \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, = {\text{30% }} \cr} $$