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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-8 section-1

Each section contains 100 MCQs on True Discount .
71
The marked price is 20% higher then cost price. A discount of 20% is given on the marked price. By this type of sale, there is = ?
Discuss
Answer & Solution
Answer: Option A
Solution:
Let the cost price = 100 units
Marked price = 120 units
Selling price = 120 × $$\frac{{80}}{{100}}$$   = 96 units
There will be loss
$$\eqalign{ & {\text{Loss}}\% = \frac{{100 - 96}}{{100}} \times 100 \cr & \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, = 4\% \cr} $$
72
How much percent above the cost price should a shopkeeper mark his goods so as to earn a profit of 32% after allowing a discount of 12% on the marked price ?
Discuss
Answer & Solution
Answer: Option A
Solution:
$$\eqalign{ & \Rightarrow \frac{{{\text{Cost price}}}}{{{\text{Marked price}}}} \cr & {\text{ = }}\frac{{100 - {\text{Discount}}\% }}{{100 + {\text{Profit}}\% }} \cr & {\text{ = }}\frac{{100 - 12}}{{100 + 32}} \cr & {\text{ = }}\left. {\frac{{88}}{{132}}} \right]{\text{ 44}} \cr & \therefore {\text{Required }}\% {\text{ }} \cr & = \frac{{44}}{{88}} \times 100 \cr & = 50\% \cr} $$
73
The price that akbar should marks on a pair of shoes which costs him Rs. 1200 to gain 12% after allowing a discount of 16% (in rupees) is = ?
Discuss
Answer & Solution
Answer: Option C
Solution:
Cost price of shoes = Rs. 1200
Selling price of shoes =$${\text{ 1200}} \times \frac{{112}}{{100}}$$
Let Marked price of shoes = x
Then,
$$\eqalign{ & \Rightarrow x \times \frac{{84}}{{100}} \cr & = 1200 \times \frac{{112}}{{100}} \cr & = \frac{{1200 \times 112}}{{84}} \cr & = {\text{Rs}}{\text{. 1600}} \cr} $$
74
A trader allows a trade discount of 20% and a cash discount of $${\text{ 6}}\frac{1}{4}\% $$   on the marked price of the goods and gets a net gain of 20% of the cost. By how much above the cost should the goods be marked for the sale = ?
Discuss
Answer & Solution
Answer: Option C
Solution:
$$\eqalign{ & {\text{Single equivalent discount }} \cr & = \left( {20 + \frac{{25}}{4} - \frac{{20 \times 25}}{{400}}} \right)\% \cr & = 25\% \cr} $$
Let cost price of article = Rs. 100
∴ Selling price of article = Rs. 120 (20% profit)
Let the marked price of article = Rs. x
$$\eqalign{ & \therefore x \times \frac{{75}}{{100}} = 120 \cr & \Rightarrow x = \frac{{120 \times 100}}{{75}} \cr & \Rightarrow x = {\text{Rs}}{\text{. 160}} \cr & {\text{Required percentage }} \cr & {\text{ = }}\frac{{160 - 100}}{{100}} \times 100 \cr & = 60\% \cr} $$
75
A fan is listed at Rs. 150 and a discount of 20% is given. Then the selling price is = ?
Discuss
Answer & Solution
Answer: Option C
Solution:
$$\eqalign{ & {\text{Selling price}} \cr & = 150 \times \frac{{80}}{{100}} \cr & = {\text{ Rs}}{\text{. 120 }} \cr} $$
76
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 = ?
Discuss
Answer & Solution
Answer: Option C
Solution:
$$\eqalign{ & {\text{Discount }} \cr & {\text{ = 6000}} - {\text{5500 }} \cr & {\text{ = Rs}}{\text{. 500}} \cr & {\text{Discount}}\% {\text{ }} \cr & = \frac{{500}}{{6000}} \times 100 \cr & = \frac{{50}}{6} \cr & = \frac{{25}}{3}{\text{ }} \cr & = 8\frac{1}{3}\% \cr} $$
77
A washing machine is sold at a discount of 30%. If a man buys it for Rs. 6580, its list price is = ?
Discuss
Answer & Solution
Answer: Option C
Solution:
$${\text{Marked price}} \times \frac{{70}}{{100}}$$   $$ = {\text{Rs}}{\text{. 6580}}$$
$$\eqalign{ & {\text{Marked price}} = \frac{{6580 \times 100}}{{70}} \cr & {\text{Market Price}} = {\text{Rs}}{\text{. 9400 }} \cr} $$
78
During month-long annual sale, a shopkeeper sells his goods at a discount of 50%. But in the last week, he offers an additional discount of 40%. If the original price of a shirt is Rs. x, then the price (in rupees) during the last week of the sale will be = ?
Discuss
Answer & Solution
Answer: Option C
Solution:
$$\eqalign{ & {\text{Single equivalent discount}} \cr & = \left( {50 + 40 - \frac{{50 \times 40}}{{100}}} \right)\% \cr & = 70\% \cr & \therefore {\text{Required price of shirt }} \cr & {\text{ = }}\left( {100 - 70} \right)\% {\text{ of }}x \cr & = 30\% {\text{ of }}x \cr} $$
79
The banker's discount on a bill due 6 months hence at 16% per annum is Rs. 216. The true discount is = ?
Discuss
Answer & Solution
Answer: Option D
Solution:
$$\eqalign{ & \therefore {\text{True discount is }} \cr & = \frac{{{\text{Banker's discount}} \times {\text{100}}}}{{100 + {\text{rate}} \times {\text{time}}}} \cr & = \frac{{216 \times 100}}{{100 + 16 \times \frac{6}{{12}}}} \cr & = \frac{{21600}}{{108}} \cr & = {\text{Rs}}{\text{. 200}} \cr} $$
80
The cost of manufacturing of a tape recorder is Rs. 1500. The manufacturer fixes the marked price 20% above the cost of manufacture and allows a discount in such a way as to get a profit of 8%. The rate of discount is = ?
Discuss
Answer & Solution
Answer: Option D
Solution:
Cost price of tape recorder = Rs. 1500
Marked price of tape recorder
$$\eqalign{ & {\text{ = 120}}\% {\text{ of 1500}} \cr & = \frac{{120}}{{100}} \times 1500 \cr & {\text{ = Rs}}{\text{. }}1800 \cr} $$
Selling price of tape recorder
$$\eqalign{ & {\text{ = 108}}\% {\text{ of 1500}} \cr & = \frac{{108}}{{100}} \times 1500 \cr & {\text{ = Rs}}{\text{. }}1620 \cr & {\text{Rate of discount }} \cr & = \frac{{1800 - 1620}}{{1800}} \times 100\% \cr & = \frac{{180}}{{1800}} \times 100 \cr & = 10\% \cr} $$