Practice MCQ Questions and Answer on True Discount

11.

While selling a watch, a shopkeeper gives a discount of 5%. If he gives a discount of 6%, he earns Rs. 15 less as profit, what is the marked price of the watch = ?

• (A) Rs. 1250
• (B) Rs. 1400
• (C) Rs. 1500
• (D) Rs. 750

Show Answer

 Let the marked price = 100x Shop Keeper gives 5% discount, therefore, Price becomes = 95x Again if shopkeeper gives 6% discount then the price become = 94x According to the question if he gives 6% discount his earning will Rs.15 less ∴ 95x - 94x = 15 ⇒ x = 15 ∴ Marked price = 100 × 15 = Rs. 1500

12.

Discount on a pair of shoes marked at Rs. 475 and discounted at 15% is = ?

• (A) Rs. 70
• (B) Rs. 72
• (C) Rs. 71.25
• (D) Rs. 75.25

Show Answer

 Market price of shoes = Rs. 475 $$\eqalign{ & {\text{Discount}} = \frac{{15}}{{100}} \times 475 \cr & \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, = \frac{{285}}{4}{\text{ }} \cr & \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,{\text{ = Rs 71}}{\text{.25}} \cr} $$

13.

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

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

14.

An article is listed at Rs. 8,500 and the discount offered is 12%. What additional discount (percent) must be given to bring the selling price to Rs. 6,358?

• (A) 9%
• (B) 20%
• (C) 15%
• (D) 10%

Show Answer

 $$\eqalign{ & {\text{Let the discount}} = x\% \cr & a = \left( {100 - x} \right) \cr & 8500 \times \frac{{88}}{{100}} \times \frac{a}{{100}} = 6358 \cr & a = 85 \cr & 85 = 100 - x \cr & x = 15\% \cr} $$

15.

The price that akbar should marks on a pair of shoes which costs him Rs. 1200 to gain 12% after allowing a discount of 16% (in rupees) is = ?

• (A) Rs. 1344
• (B) Rs. 1433
• (C) Rs. 1600
• (D) Rs. 1500

Show Answer

 Cost price of shoes = Rs. 1200 Selling price of shoes =$${\text{ 1200}} \times \frac{{112}}{{100}}$$ Let Marked price of shoes = x Then, $$\eqalign{ & \Rightarrow x \times \frac{{84}}{{100}} \cr & = 1200 \times \frac{{112}}{{100}} \cr & = \frac{{1200 \times 112}}{{84}} \cr & = {\text{Rs}}{\text{. 1600}} \cr} $$

16.

The marked price is 20% higher then cost price. A discount of 20% is given on the marked price. By this type of sale, there is = ?

• (A) 4% loss
• (B) 2% loss
• (C) No loss no gain
• (D) 4% gain

Show Answer

 Let the cost price = 100 units Marked price = 120 units Selling price = 120 × $$\frac{{80}}{{100}}$$   = 96 units There will be loss $$\eqalign{ & {\text{Loss}}\% = \frac{{100 - 96}}{{100}} \times 100 \cr & \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, = 4\% \cr} $$

17.

The banker's discount on a bill due 6 months hence at 16% per annum is Rs. 216. The true discount is = ?

• (A) Rs. 212
• (B) Rs. 180
• (C) Rs. 210
• (D) Rs. 200

Show Answer

 $$\eqalign{ & \therefore {\text{True discount is }} \cr & = \frac{{{\text{Banker's discount}} \times {\text{100}}}}{{100 + {\text{rate}} \times {\text{time}}}} \cr & = \frac{{216 \times 100}}{{100 + 16 \times \frac{6}{{12}}}} \cr & = \frac{{21600}}{{108}} \cr & = {\text{Rs}}{\text{. 200}} \cr} $$

18.

How much percent above the cost price should a shopkeeper mark his goods so as to earn a profit of 32% after allowing a discount of 12% on the marked price ?

• (A) 50%
• (B) 40%
• (C) 60%
• (D) 45%

Show Answer

 $$\eqalign{ & \Rightarrow \frac{{{\text{Cost price}}}}{{{\text{Marked price}}}} \cr & {\text{ = }}\frac{{100 - {\text{Discount}}\% }}{{100 + {\text{Profit}}\% }} \cr & {\text{ = }}\frac{{100 - 12}}{{100 + 32}} \cr & {\text{ = }}\left. {\frac{{88}}{{132}}} \right]{\text{ 44}} \cr & \therefore {\text{Required }}\% {\text{ }} \cr & = \frac{{44}}{{88}} \times 100 \cr & = 50\% \cr} $$

19.

A seller marks his goods 30% above their cost price but allows 15% discount for cash payment. His percentage of profit when sold in cash is = ?

• (A) 10.5%
• (B) 15%
• (C) 9%
• (D) 8.5%

Show Answer

 Let cost price of item = Rs. 100 Marked price of item = 130% of 100 $$\eqalign{ & {\text{ = 130}}\% {\text{ of 100}} \cr & {\text{ = }}\frac{{130}}{{100}} \times {\text{100 }} \cr & {\text{ = Rs}}{\text{. 130 }} \cr} $$ After discount, selling price $$\eqalign{ & {\text{= 85}}\% {\text{ of 130 }} \cr & = \frac{{85}}{{100}} \times {\text{130 }} \cr & {\text{= Rs}}{\text{. 110}}{\text{.5}} \cr & {\text{Profit}}\% {\text{ }} \cr & = \frac{{110.50 - 100}}{{100}} \times 100{\text{ }} \cr & = 10.5{\text{ }}\% {\text{ }} \cr} $$

20.

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

• (A) Rs. 1386
• (B) Rs. 1764
• (C) Rs. 1575
• (D) Rs. 2268

Show Answer

 $$\eqalign{ & {\text{Let}}\,{\text{P}}{\text{.W}}{\text{.}}\,{\text{be}}\,{\text{Rs}}{\text{.}}\,{\text{x}}{\text{.}} \cr & {\text{Then,}}\,{\text{S}}{\text{.I}}{\text{.}}\,{\text{on}}\,{\text{Rs}}{\text{.}}\,{\text{x}}\,{\text{at}}\,{\text{16}}\% \,{\text{for}}\,{\text{9}}\,{\text{months}} \cr & = Rs.\,189 \cr & \therefore x \times 16 \times \frac{9}{{12}} \times \frac{1}{{100}} \cr & = 189\,or\,x = 1575. \cr & \therefore P.W. = Rs.\,1575. \cr & \therefore {\text{Sum}}\,{\text{due}} = P.W. + T.D. \cr & = Rs.\left( {1575 + 189} \right) \cr & = Rs.\,1764 \cr} $$