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True Discount - Aptitude MCQ Questions and Solutions with Explanations

True Discount MCQ Questions and answers with easy and logical explanations.Arithmetic Ability provides you all type of quantitative and competitive aptitude mcq questions on True Discount with easy and logical explanations. True Discount MCQ is important for exams like Banking exams,IBPS,SCC,CAT,XAT,MAT etc. Page-5 section-1

Each section contains 100 MCQs on True Discount .
41
A bicycle, marked at Rs. 2000 is sold with two successive discount of 20% and 10%. An additional discount of 5% is offered for cash payment. The selling price of the bicycle at cash payment is = ?
Discuss
Answer & Solution
Answer: Option A
Solution:
Marked price of bicycle = Rs. 2000
After two successive discount of 20% and 10%
$$\eqalign{ & = 2000 \times \frac{{80}}{{100}} \times \frac{{90}}{{100}}{\text{ }} \cr & = {\text{Rs}}{\text{. 1440}} \cr} $$
Additional discount 5% for cash payment
$$\eqalign{ & = 1440 \times \frac{{95}}{{100}} \cr & = {\text{Rs}}{\text{. 1368}} \cr} $$
42
An article is sold at a discount of 20% and an additional discount 30% is allowed on cash payment. If Vidya purchased the article by paying Rs. 2240 in cash, the marked price of the article was = ?
Discuss
Answer & Solution
Answer: Option A
Solution:
Marked price of the article = Rs. x
According to the question,
  $$⇒$$ 80% of 70% of x = 2240
$$\eqalign{ & \Rightarrow \frac{{80}}{{100}} \times \frac{{70}}{{100}} \times x = 2240 \cr & \Rightarrow x = {\text{Rs}}{\text{. 4000}} \cr} $$
43
A retailer purchases a grinder at a discount of 15% of the whole seller and sales it for Rs. 1955 at a profit of 15%. The amount of discount received by the retailer from the whole seller was = ?
Discuss
Answer & Solution
Answer: Option C
Solution:
Selling price of grinder = Rs. 1955
$$\eqalign{ & {\text{Cost price of grinder}} \cr & {\text{= 1955}} \times \frac{{100}}{{115}} \cr & = {\text{Rs}}{\text{. 1700}} \cr & {\text{Marked price of grinder}} \cr & {\text{= 1700}} \times \frac{{100}}{{85}} \cr & = {\text{Rs}}{\text{. 2000}} \cr & {\text{Discount by the retailer }} \cr & {\text{= 2000}} \times \frac{{15}}{{100}} \cr & = {\text{Rs}}{\text{. 300}} \cr} $$
44
The marked price of a T.V. is Rs. 16000. After two successive discounts it is sold for Rs. 11400. If the first discount is 5%, then the rate of second discount is = ?
Discuss
Answer & Solution
Answer: Option D
Solution:
Marked price of T.V. = Rs. 16000
$$\eqalign{ & {\text{After 1st discount}} \cr & {\text{ = 95}}\% {\text{ of 16000}} \cr & {\text{ = }}\frac{{95}}{{100}} \times 16000 \cr & {\text{ = Rs}}{\text{. 15200}} \cr} $$
Selling price of T.V. = Rs. 11400
$$\eqalign{ & {\text{ So, the 2nd discount be}}\% \cr & = \frac{{15200 - 11400}}{{15200}} \times 100 \cr & = \frac{{3800}}{{15200}} \times 100 \cr & = 25\% \cr} $$
45
The difference between a discount of 30% on Rs. 2000 and two successive discounts of 25% and 5% on the same amount is ?
Discuss
Answer & Solution
Answer: Option C
Solution:
1st discount = 30%
Two successive discount to a single discount
$$\eqalign{ & = 25 + 5 - \frac{{25 \times 5}}{{100}} \cr & = 30 - 1.25 \cr & {\text{Difference}}\% {\text{ }} \cr & = {\text{ }}30 - 30 + 1.25 \cr & = {\text{ }}1.25\% \cr & {\text{Difference amount}} \cr & = 1.25\% \,{\text{of }}2000 \cr & = \frac{{1.25}}{{100}} \times 2000 \cr & = {\text{Rs}}{\text{. }}25 \cr} $$
46
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 ?
Discuss
Answer & Solution
Answer: Option A
Solution:
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,
$$\eqalign{ & \Rightarrow {\text{2}}\% {\text{ of }}x{\text{ = 72}} \cr & \Rightarrow \frac{2}{{100}} \times x = 72 \cr & \Rightarrow x = \frac{{72 \times 100}}{2} \cr & \Rightarrow x = {\text{Rs}}{\text{. 3600}} \cr} $$
47
Ramesh marks his goods 30% above cost price. If he sells the item for Rs. 910 afters allowing of 15% discount. Find his cost price ?
Discuss
Answer & Solution
Answer: Option A
Solution:
\[\begin{gathered} \begin{array}{*{20}{c}} {{\text{Cost Price}}}&{{\text{Selling Price}}}&{{\text{Mark Price}}} \\ {{{10}_{ \times 20}}}&{}&{{{13}_{ \times 20}}} \\ {}&{{{17}_{ \times 13}}}&{{{20}_{ \times 13}}} \end{array} \hfill \\ \overline {\underline {{\text{ 200 unit}}\,\,\,\,\,\,\,\,\,\,\,\,\,{\text{221 unit}}\,\,\,\,\,\,\,\,\,\,\,\,{\text{260 unit}}} } \hfill \\ \end{gathered} \]

$$\eqalign{ & 221{\text{ unit }} \to {\text{ 910}} \cr & {\text{260 unit }} \to \frac{{910}}{{221}} \times 200 \cr & \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, = {\text{Rs 823}}{\text{.50}} \cr} $$
48
The single discount equivalent to two successive discount of 20% and 5% is = ?
Discuss
Answer & Solution
Answer: Option A
Solution:
Two successive discount is equivalent
$$\eqalign{ & = 20 + 5 - \frac{{20 \times 5}}{{100}} \cr & = {\text{ }}25 - 1 \cr & = {\text{ }}24\% {\text{ }} \cr} $$
49
A shopkeeper marks the price of an item keeping 20% profit. If he offers a discount of $${\text{12}}\frac{1}{2}\% $$   on the marked price, his gain percent will be = ?
Discuss
Answer & Solution
Answer: Option B
Solution:
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
$$\eqalign{ & \frac{{87.5}}{{100}} \times {\text{120 = Rs}}{\text{. 105}} \cr & {\text{Profit}}\% {\text{ }} = \frac{{105 - 100}}{{100}}{\text{ }} \cr & \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, = {\text{ }}5\% {\text{ }} \cr} $$
50
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 = ?
Discuss
Answer & Solution
Answer: Option A
Solution:
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
$$\eqalign{ & {\text{= 85}}\% {\text{ of 130 }} \cr & = \frac{{85}}{{100}} \times {\text{130 }} \cr & {\text{= Rs}}{\text{. 110}}{\text{.5}} \cr & {\text{Profit}}\% {\text{ }} \cr & = \frac{{110.50 - 100}}{{100}} \times 100{\text{ }} \cr & = 10.5{\text{ }}\% {\text{ }} \cr} $$