True Discount - Aptitude MCQ Questions and Solutions with Explanations

A dealer offers a cash discount of 20% and still makes a profit of 20%. If he further sells 8 articles at a rate of 6 articles, then how much percentage above the cost price does he mark on each article?

A) 87.5% B) 100% C) 77.5% D) 112.5%

Discuss

Answer & Solution

Answer: Option B

Solution:

$$\eqalign{ & \frac{{{\text{Cost price}}}}{{{\text{Marked price}}}} = \frac{{100 - {\text{Discount}}}}{{100 + {\text{Profit}}}} \cr & = \frac{{100 - 20}}{{100 + 20}} \cr & = \frac{{80}}{{120}} \cr} $$
\[\begin{array}{*{20}{c}} {{\text{Cost price}}}&{{\text{Marked price}}} \\ {\frac{{80}}{8} = 10}&{\frac{{120}}{6} = 20} \end{array}\]
Above = 20 - 10 = 10
Above % = $$\frac{{10}}{{10}}$$ × 100 = 100%

A single discount equivalent to three successive discount of 6%, 15% and 14% is:

A) 68.714% B) 34.357% C) 31.286% D) 17.5%

Discuss

Answer & Solution

Answer: Option C

Solution:

$$\eqalign{ & {\text{Discount }}\% = x + y - \frac{{xy}}{{100}} \cr & {\text{2 years}} \to {\text{discount }}\% \cr & = 6 + 15 - \frac{{6 \times 15}}{{100}} \cr & = 21 - 0.9 \cr & = 20.1\% \cr & {\text{3 years}} \to {\text{discount }}\% \cr & = 20.1 + 14 - \frac{{20.1 \times 14}}{{100}} \cr & = 34.1 - 2.814 \cr & = 31.286\% \cr} $$

A dealer gains 20% by selling an article at 25% discount on its marked price. If the cost price of the article is decreased by 15%, how much discount percentage should he now given on the same marked price so as to earn the same percentage of profit as before?

A) 35% B) 37.75% C) 36.25% D) 32.50%

Discuss

Answer & Solution

Answer: Option C

Solution:

Let cost price = 100
Selling price = 120% of 100 = 120
Marked price = 120 × $$\frac{{100}}{{75}}$$ = 160
True Discount mcq question image

New cost price = 100 - 15 = 85
New selling price = 85 × $$\frac{{120}}{{100}}$$ = 102
Discount = 160 - 102 = 58
Discount = $$\frac{{58}}{{160}}$$ × 100 = 36.25%