Practice MCQ Questions and Answer on True Discount

81.

If an electricity bill is paid before due date, one gets a reduction of 4% on the amount of the bill. By paying the bill before due date a person got a reduction of Rs. 13. The amount of his electricity bill was = ?

• (A) Rs. 125
• (B) Rs. 225
• (C) Rs. 325
• (D) Rs. 425

Show Answer

 Let the amount of bill = Rs. x According to the question, $$\eqalign{ & \Rightarrow \frac{{4x}}{{100}} = 13 \cr & x = \frac{{13 \times 100}}{4} \cr & x = {\text{Rs}}{\text{. 325}} \cr} $$ Alternate :Let the amount of bill = 100 units 4% of 100 units = 4 units $$\eqalign{ & \therefore \,{\text{ 4 units}} = {\text{ 13}} \cr & \Rightarrow \,{\text{1 unit}} = \frac{{13}}{4} \cr & \Rightarrow 100\,{\text{units = }}\frac{{13}}{4} \times 100 \cr & \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, = {\text{Rs}}{\text{. 325}} \cr} $$

82.

The marked price of a watch was Rs. 720. A man bought the same for Rs. 550.80, after getting two successive discounts, the first 10%. What was the second discount rate ?

• (A) 12%
• (B) 14%
• (C) 15%
• (D) 18%

Show Answer

 Market price of a watch = Rs. 720 After 1st discount $$\eqalign{ & {\text{ = 90}}\% {\text{ of 720 }} \cr & {\text{ = }}\frac{{90}}{{100}} \times 720 \cr & = {\text{Rs}}{\text{. 648}} \cr} $$ Cost price of watch = Rs. 550.80 Difference = 648 - 550.80 = Rs. 97.20 $$\eqalign{ & {{\text{2}}^{{\text{nd}}}}{\text{ discount}} \cr & = \frac{{97.20}}{{648}} \times 100 \cr & = \frac{{9720}}{{648}} \cr & = 15\% \cr} $$

83.

A shopkeeper sold an item at 10% loss after giving a discount equal to half the marked price. Then the cost price is ?

• (A) $$\frac{1}{9}{\text{th of marked price}}$$
• (B) $$\frac{4}{9}{\text{th of marked price}}$$
• (C) $$\frac{5}{9}{\text{th of marked price}}$$
• (D) $$\frac{7}{9}{\text{th of marked price}}$$

Show Answer

 Let the cost price = Rs. 100 Selling price = Rs. 90 Marked price = 90 × 2 = Rs. 180 (∴ Selling price will be half of the Marked price as the discount is also equal to half the Marked price) $$ \Rightarrow \frac{{{\text{Cost price }}}}{{{\text{Marked price}}}}$$   $$ = \frac{{100}}{{180}}$$   $$ = \frac{5}{9}$$ $$ \Rightarrow {\text{Cost price = }}$$   $$\frac{5}{9}{\text{ of Marked price}}$$

84.

If a table marked price Rs. 6000 was sold to a customer for Rs. 5500, then the rate of discount allowed on the table is = ?

• (A) 10%
• (B) 8%
• (C) $$8\frac{1}{3}\% $$
• (D) 9%

Show Answer

 $$\eqalign{ & {\text{Discount }} \cr & {\text{ = 6000}} - {\text{5500 }} \cr & {\text{ = Rs}}{\text{. 500}} \cr & {\text{Discount}}\% {\text{ }} \cr & = \frac{{500}}{{6000}} \times 100 \cr & = \frac{{50}}{6} \cr & = \frac{{25}}{3}{\text{ }} \cr & = 8\frac{1}{3}\% \cr} $$

85.

A man sells a bicycle at marked price which is 30% higher than the cost price. If he gives some discount and sells it at Rs. 150 less than the marked price, he would still gain 20%. What is the percentage of discount offered ?

• (A) 7.69%
• (B) 1.83%
• (C) 7.54%
• (D) 7.23%

Show Answer

 \[\begin{gathered} {\text{30}}\% = \frac{{{3^{{ \nearrow ^{{\text{gain}}}}}}}}{{{\text{ }}{{10}_{{ \searrow _{{\text{cost price}}}}}}}}{\text{marked price}} = 13{\text{ }} \hfill \\ {\text{20}}\% = \frac{{{1^{{ \nearrow ^{{\text{profit}}}}}}}}{{{\text{ }}{5_{{ \searrow _{{\text{cost price}}}}}}}}{\text{selling price}} = 6{\text{ }} \hfill \\ \end{gathered} \] \[\begin{gathered} \begin{array}{*{20}{c}} {{\text{Cost price}}}&{{\text{Selling price}}}&{{\text{Marked price}}} \\ {10}&{}&{13} \\ {5 \times 2}&{6 \times 2}&{} \end{array} \hfill \\ {\text{ }}\overline {\,\,\,10{\text{ units}}\,\,\,\,\,\,\,\,\,\,\,\underbrace {12\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,1{\text{3 unit}}}_{{\text{discount = 1}}}} \hfill \\ \end{gathered} \] $$\eqalign{ & \therefore {\text{Discount }}\% \cr & = \frac{1}{{13}} \times 100 \cr & = 7.69\% \cr} $$

86.

A single discount of 50% on an article costing Rs. 10000 is better than two successive discounts of 40% and 10% by = ?

• (A) Rs. 400
• (B) Rs. 1000
• (C) Rs. 500
• (D) Rs. 600

Show Answer

 $$\eqalign{ & {\text{Single discount = 50}}\% \cr & {\text{Two successive discount}} \cr & {\text{ = 40}} + {\text{10}} - \frac{{40 \times 10}}{{100}} \cr & = 50 - 4 \cr & = 46 \cr & {\text{Difference}} \cr & = 50 - 46 \cr & = 4\% \cr & {\text{Difference amount }} \cr & {\text{ = 4}}\% {\text{ of 10000}} \cr & {\text{ = }}\frac{4}{{100}} \times 10000 \cr & {\text{ = Rs}}{\text{. 400}} \cr} $$

87.

A dealer buys an article marked at Rs. 25000 with 20% and 5% off. He spends Rs. 1000 for its repair and sells it for Rs. 25000 what is his gain or loss percent ?

• (A) Loss of 25%
• (B) Gain of 25%
• (C) Gain of 10%
• (D) Loss of 10%

Show Answer

 Marked price of an article = Rs. 25000 After discount, cost price $$ = {\text{Rs}}{\text{. 25000}} \times \frac{{80}}{{100}} \times \frac{{95}}{{100}}$$ = Rs. 19000 After repair, cost price = Rs. 19000 + 1000 = Rs. 20000 Selling price of an article = Rs. 25000 $$\eqalign{ & {\text{Gain}}\% \Rightarrow \frac{{25000 - 20000}}{{20000}} \times 100 \cr & {\text{Gain}}\% \Rightarrow \frac{1}{4} \times 100 \cr & {\text{Gain}}\% \Rightarrow 25\% \cr} $$

88.

A discount of 14% on the marked price of an article is allowed and then the article is sold for Rs. 387. The marked price of the article is = ?

• (A) Rs. 450
• (B) Rs. 427
• (C) Rs. 500
• (D) Rs. 440

Show Answer

 Selling price of article = Rs. 387 Mark price of article $$\eqalign{ & {\text{ = }}\frac{{387 \times 100}}{{86}} \cr & = {\text{Rs}}{\text{. 450}} \cr} $$

89.

The present worth of Rs. 2310 due $$2\frac{1}{2}$$ years hence, the rate of interest being 15% per annum, is:

• (A) Rs. 1750
• (B) Rs. 1680
• (C) Rs. 1840
• (D) Rs. 1443.75

Show Answer

 $$\eqalign{ & P.W. = Rs.\,\left[ {\frac{{100 \times 2310}}{{100 + \left( {15 \times \frac{5}{2}} \right)}}} \right] \cr & = Rs.\,1680 \cr} $$

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