Practice MCQ Questions and Answer on True Discount

11.

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

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

12.

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

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

13.

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

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

Show Answer

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

14.

Successive discount of p% and q% on the catalogue price of an article is equivalent to a single discount of = ?

• (A) $$\left( {p - q - \frac{{pq}}{{100}}} \right)\% $$
• (B) $$\left( {p + q - \frac{{pq}}{{100}}} \right)\% $$
• (C) $$\left( {p - q + \frac{{pq}}{{100}}} \right)\% $$
• (D) $$\left( {p + q + \frac{{pq}}{{100}}} \right)\% $$

Show Answer

 $$ = \left( {p - q + \frac{{pq}}{{100}}} \right)\% $$

15.

Anand marks up the price of an article by 50% and then allows a discount of 20% and sells it to Balaji who sells it for Rs. 20, more than what he purchased for, this selling price is 30% more then the original cost price of the article. Then Balaji's profit % is = ?

• (A) 7.5%
• (B) 6.66%
• (C) 8.33%
• (D) 9%

Show Answer

 Let original cost price = 100 units $$\eqalign{ & {\text{Cost price of Balaji }} \cr & {\text{ = 100}} \times \frac{{150}}{{100}} \times \frac{{80}}{{100}} \cr & {\text{ = 120 units}} \cr & {\text{Selling price of Balaji }} \cr & {\text{ = }}\frac{{130}}{{100}} \times 100\, \cr & {\text{ = 130 units}} \cr & {\text{Profit of Balaji }} \cr & {\text{ = 130}} - 120 \cr & = {\text{10 units}} \cr & {\text{Profit percent }} \cr & {\text{ = }}\frac{{10}}{{120}} \times 100 \cr & {\text{ = 8}}{\text{.33}}\% \cr} $$ Note: There is no use of Rs. 20 given in the question

16.

A purchased a dining table marked at Rs. 3000 at a successive discounts of 10% and 15% respectively. He gave Rs. 105 as trans-portion charge and sold it at Rs. 3200. What is his gain percentage ?

• (A) $$22\frac{1}{3}\% $$
• (B) 25%
• (C) $$33\frac{1}{3}\% $$
• (D) $$37\frac{{17}}{{24}}\% $$

Show Answer

 Market price of dining table = Rs. 3000 After discount, cost price $$\eqalign{ & {\text{ = 3000}} \times \frac{{90}}{{100}} \times \frac{{85}}{{100}} \cr & {\text{ = Rs}}{\text{. 2295}} \cr} $$ After transport charges = 2295 + 105 $$\eqalign{ & {\text{Cost price = Rs}}{\text{. 2400}} \cr & {\text{Selling price = Rs}}{\text{. 3200}} \cr & {\text{Profit }}\% {\text{ }} \cr & = \frac{{3200 - 2400}}{{2400}} \times 100 \cr & = \frac{{800 \times 100}}{{2400}} \cr & = 33\frac{1}{3}\% \cr} $$

17.

The marked price of a table is Rs. 800. A retailer bought it after two successive discounts of 10% and 15%. He spent Rs. 13 on transportation and sold it for Rs. 875. His profit was = ?

• (A) 40%
• (B) 37%
• (C) 28%
• (D) 25%

Show Answer

 $$\eqalign{ & {\text{Cost price for the retailer }} \cr & = 800 \times \frac{{90}}{{100}} \times \frac{{85}}{{100}} + 13 \cr & = 612 + 13 \cr & {\text{ = Rs. 625 }} \cr & {\text{Selling price = Rs}}{\text{. 875}} \cr & \therefore {\text{Profit }}\% {\text{ }} \cr & = \frac{{875 - 625}}{{625}} \times 100 \cr & = \frac{{250}}{{625}} \times 100 \cr & = 40\% \cr} $$

18.

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 $$\eqalign{ & {\text{= 85}}\% {\text{ of 130 }} \cr & = \frac{{85}}{{100}} \times {\text{130 }} \cr & {\text{= Rs}}{\text{. 110}}{\text{.5}} \cr & {\text{Profit}}\% {\text{ }} \cr & = \frac{{110.50 - 100}}{{100}} \times 100{\text{ }} \cr & = 10.5{\text{ }}\% {\text{ }} \cr} $$

19.

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

20.

A fan is listed at Rs. 1500 and a discount of 20% is offered on the list price. What additional discount must be offered to the customer now to bring the net price to Rs. 1104 ?

• (A) 8%
• (B) 10%
• (C) 15%
• (D) 12%

Show Answer

 Listed price of fan = Rs. 1500 After discount listed price $$\eqalign{ & {\text{ = 80}}\% {\text{ of 1500}} \cr & {\text{ = }}\frac{{80}}{{100}} \times {\text{1500 }} \cr & {\text{ = Rs}}{\text{. 1200}} \cr} $$ Net price of fan = Rs. 1104 Differece = 1200 - 1104 = Rs. 96 Additional discount $$\eqalign{ & {\text{ = }}\frac{{96}}{{1200}} \times 100 \cr & = 8\% \cr} $$