Practice MCQ Questions and Answer on True Discount

41.

If on a market price the difference of selling price with a discount of 30% and two successive discounts of 20% and 10% is 72, then the marked price ( in rupees ) is ?

• (A) Rs. 3600
• (B) Rs. 3000
• (C) Rs. 2500
• (D) Rs. 2400

Show Answer

 Let the marked price = Rs. x Single Discount = 30% Two successive discount is equivalent $$\eqalign{ &{\text{= }}\left( {20 + 10 - \frac{{20 \times 10}}{{100}}} \right)\% \cr & = \left( {30 - 2} \right)\% \cr & = 28\% \cr} $$ Difference = 2% According to the question, $$\eqalign{ & \Rightarrow {\text{2}}\% {\text{ of }}x{\text{ = 72}} \cr & \Rightarrow \frac{2}{{100}} \times x = 72 \cr & \Rightarrow x = \frac{{72 \times 100}}{2} \cr & \Rightarrow x = {\text{Rs}}{\text{. 3600}} \cr} $$

42.

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

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

43.

A person paid Rs. 17000 for a motor-car after a single discount of 15%. If he is given successive discount of 5% and 10% then how much he would pay ?

• (A) Rs. 17000
• (B) Rs. 17010
• (C) Rs. 17100
• (D) Rs. 18900

Show Answer

 Cost price of motor-car = Rs. 17000 Mark price of motor-car $$\eqalign{ & = {\text{Rs}}{\text{. 17000}} \times \frac{{100}}{{85}}{\text{ }} \cr & = {\text{Rs}}{\text{. 20000}} \cr} $$ After successive discount,Cost price $$\eqalign{ & = {\text{Rs}}{\text{. 20000}} \times \frac{{95}}{{100}} \times \frac{{90}}{{100}} \cr & = {\text{Rs}}{\text{. 17100 }} \cr} $$

44.

Two successive discounts of 10% and 5%, in this order, are given on a bill of Rs. 110. Find the net amount of money payable to clear the bill (answer to the nearest rupee) = ?

• (A) Rs. 94
• (B) Rs. 95
• (C) Rs. 96
• (D) Rs. 97

Show Answer

 Bill amount = Rs. 110 After discount net amount of Bill 90% of 95% of 110 $$\eqalign{ & \frac{{90}}{{100}} \times \frac{{95}}{{100}} \times 110 \cr & {\text{ = Rs}}{\text{. 94 ( approx )}} \cr} $$

45.

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%

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

46.

The marked price of an article is Rs. 550. A shopkeeper allows a discount of 20% and still gets a profit of 10%. If he sells it for Rs. 470, his profit percent will be:

• (A) 16.8
• (B) 18
• (C) 17.5
• (D) 16

Show Answer

 Cost price = 400 Selling price = 470 Profit % $$ = \frac{{70}}{{400}} \times 100 = 17.5\% $$

47.

A shopkeeper marks the price of an item keeping 20% profit. If he offers a discount of $$\text{12}\frac{1}{2}\mathrm{\%}$$   on the marked price, his gain percent will be = ?

• (A) 4.5%
• (B) 5%
• (C) 7.5%
• (D) 8%

Show Answer

 Let cost price of item = Rs. 100 Marked price of item = 120% of 100 $$\eqalign{ & {\text{ = }}\frac{{120}}{{100}} \times {\text{100 }} \cr & {\text{ = Rs}}{\text{. 120 }} \cr} $$ After discount, selling price = 87.5% of 120 $$\eqalign{ & \frac{{87.5}}{{100}} \times {\text{120 = Rs}}{\text{. 105}} \cr & {\text{Profit}}\% {\text{ }} = \frac{{105 - 100}}{{100}}{\text{ }} \cr & \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, = {\text{ }}5\% {\text{ }} \cr} $$

48.

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

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

Show Answer

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

49.

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

50.

If a person purchases a shirt, he gets 6% discount. However, if he purchases two shirts, he gets 5% on the first and 8% on the second. If the price paid by the person for two shirts is Rs. 925, then what will be the marked price of each shirts ?

• (A) Rs. 494
• (B) Rs. 550
• (C) Rs. 528
• (D) Rs. 500

Show Answer

 Let marked price = 100x, then by statement 95x + 92x → selling price of both $$\eqalign{ & \Rightarrow 187x \to 925 \cr & \Rightarrow x \to \frac{{925}}{{187}} = 4.94 \cr & {\text{Marked price }} \cr & {\text{ = 4}}{\text{.94}} \times {\text{100 }} \cr & {\text{ = Rs}}{\text{. 494}} \cr} $$