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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-9 section-1

Each section contains 100 MCQs on True Discount .
81
For a certain article. If discount is 25% the profit is 25%. If the discount is 10%, then the profit is = ?
Discuss
Answer & Solution
Answer: Option A
Solution:
$$\eqalign{ & {\text{For same article}}, \cr & \frac{{100 - {d_1}}}{{100 - {d_2}}} = \frac{{100 + {g_1}}}{{100 + {g_2}}} \cr & \Rightarrow \frac{{100 - 25}}{{100 - 10}} = \frac{{100 + 25}}{{100 + {g_2}}} \cr & \Rightarrow \frac{{75}}{{90}} = \frac{{125}}{{100 + {g_2}}} \cr & \Rightarrow 100 + {g_2} = \frac{{90 \times 125}}{{75}} \cr & \Rightarrow 100 + {g_2} = 150 \cr & \therefore {g_2} = 50\% \cr} $$
82
A single discount of 50% on an article costing Rs. 10000 is better than two successive discounts of 40% and 10% by = ?
Discuss
Answer & Solution
Answer: Option A
Solution:
$$\eqalign{ & {\text{Single discount = 50}}\% \cr & {\text{Two successive discount}} \cr & {\text{ = 40}} + {\text{10}} - \frac{{40 \times 10}}{{100}} \cr & = 50 - 4 \cr & = 46 \cr & {\text{Difference}} \cr & = 50 - 46 \cr & = 4\% \cr & {\text{Difference amount }} \cr & {\text{ = 4}}\% {\text{ of 10000}} \cr & {\text{ = }}\frac{4}{{100}} \times 10000 \cr & {\text{ = Rs}}{\text{. 400}} \cr} $$
83
A purchased a dining table marked at Rs. 3000 at a successive discounts of 10% and 15% respectively. He gave Rs. 105 as trans-portion charge and sold it at Rs. 3200. What is his gain percentage ?
Discuss
Answer & Solution
Answer: Option C
Solution:
Market price of dining table = Rs. 3000
After discount, cost price
$$\eqalign{ & {\text{ = 3000}} \times \frac{{90}}{{100}} \times \frac{{85}}{{100}} \cr & {\text{ = Rs}}{\text{. 2295}} \cr} $$
After transport charges = 2295 + 105
$$\eqalign{ & {\text{Cost price = Rs}}{\text{. 2400}} \cr & {\text{Selling price = Rs}}{\text{. 3200}} \cr & {\text{Profit }}\% {\text{ }} \cr & = \frac{{3200 - 2400}}{{2400}} \times 100 \cr & = \frac{{800 \times 100}}{{2400}} \cr & = 33\frac{1}{3}\% \cr} $$
84
A shopkeeper marks the price of an article at Rs. 80. What will be the selling price, if he allows two successive discounts at 5% each = ?
Discuss
Answer & Solution
Answer: Option A
Solution:
Marked price of article = Rs. 80
$$\eqalign{ & {\text{Two successive discount }} \cr & {\text{ = 5}} + 5 - \frac{{5 \times 5}}{{100}} \cr & = 10 - 0.25 \cr & = 9.75\% \cr & {\text{Discount of article }} \cr & {\text{ = 9}}{\text{.75% of 80}} \cr & {\text{ = }}\frac{{9.75}}{{100}} \times 80 \cr & = {\text{Rs}}{\text{. 7}}{\text{.80}} \cr & {\text{Selling price of article }} \cr & {\text{ = }}80 - 7.80 \cr & {\text{ = Rs}}{\text{. 72}}{\text{.20}} \cr} $$
85
A shopkeeper purchased a chair marked at Rs. 600 at two successive discounts of 15% and 20% respectively, he spent Rs. 28 on transportation and sold the chair for Rs. 545. His gain percent was = ?
Discuss
Answer & Solution
Answer: Option A
Solution:
Marked price of chair = Rs. 600
After discount, cost price
$$\eqalign{ & {\text{ = 600}} \times \frac{{85}}{{100}} \times \frac{{80}}{{100}} \cr & = {\text{Rs}}{\text{. }}408 \cr} $$
After transportation charges cost price
$$\eqalign{ & = 408 + 28{\text{ }} \cr & {\text{ = Rs}}{\text{. 436}} \cr & {\text{Gain }}\% \cr & = \frac{{545 - 436}}{{436}} \times 100\% \cr & = \frac{{109}}{{436}} \times 100\% \cr & = 25\% \cr} $$
86
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) = ?
Discuss
Answer & Solution
Answer: Option A
Solution:
Bill amount = Rs. 110
After discount net amount of Bill 90% of 95% of 110
$$\eqalign{ & \frac{{90}}{{100}} \times \frac{{95}}{{100}} \times 110 \cr & {\text{ = Rs}}{\text{. 94 ( approx )}} \cr} $$
87
A merchant allows a discount of 10% on marked price for the cash payment. To make a profit of 17%, he must mark his goods higher than their cost price by = ?
Discuss
Answer & Solution
Answer: Option D
Solution:
$$\eqalign{ & {\text{Let the cost price = Rs}}{\text{. 100}} \cr & {\text{Selling price }} \cr & {\text{ = 117}}\% {\text{ of 100 }} \cr & {\text{ = Rs}}{\text{. 117}} \cr & {\text{Marked price}} \cr & {\text{ = 117}} \times \frac{{100}}{{90}}{\text{ }} \cr & {\text{ = Rs}}{\text{. 130}} \cr & {\text{Marked price above }}\% \cr & = \frac{{130 - 100}}{{100}} \times 100\% \cr & = 30\% \cr} $$
88
The total discount on Rs.1860 due after a certain time at 5% is Rs. 60. Find the time after which it is due -
Discuss
Answer & Solution
Answer: Option D
Solution:
$$\eqalign{ & {\text{Here, A}}\, = \,1860, \cr & {\text{R}}\, = \,5\% \cr & {\text{TD}}\, = 60 \cr & \therefore \,{\text{TD}}\, = \,\frac{{A \times R \times T}}{{100 + R \times T}} \cr & \Rightarrow 60 = \frac{{1860 \times 5 \times T}}{{100 + 5T}} \cr & \Rightarrow 6000 + 300T = 9300T \cr & \Rightarrow 6000 = 9300T - 300T \cr & \Rightarrow 6000 = 9000T \cr & \Rightarrow T = \frac{{6000}}{{9000}} \cr & \Rightarrow T\, = \frac{2}{3}{\text{year}} \cr & \Rightarrow T\, = \frac{2}{3} \times 12 \cr & \Rightarrow T = 8\,{\text{months}} \cr} $$
89
If the discount is equal to one fifth of the marked price and the loss is half the discount, then the percentage of loss is = ?
Discuss
Answer & Solution
Answer: Option B
Solution:
Let the marked price = Rs. 100
$$\eqalign{ & {\text{Discount}} = \frac{1}{5} \times 100 \cr & \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, = {\text{Rs}}{\text{. }}20 \cr & {\text{Loss = }}\frac{1}{2} \times 20 \cr & \,\,\,\,\,\,\,\,\,\,{\text{ = Rs}}{\text{. 10}} \cr & {\text{Cost price}} = 100 - 20 + 10 \cr & \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,{\text{ = Rs}}{\text{. 90}} \cr & {\text{Loss}}\% = \frac{{10}}{{90}} \times 100 \cr & \,\,\,\,\,\,\,\,\,\,\,\,\,\, = \frac{{100}}{9}\% {\text{ }} \cr & \,\,\,\,\,\,\,\,\,\,\,\,\,\, = 11\frac{1}{9}\% {\text{ }} \cr} $$
90
How much percent more than the cost price should a shopkeeper mark his goods so that after allowing a discount of 25% on the marked price, he gain 20% ?
Discuss
Answer & Solution
Answer: Option C
Solution:
$$\eqalign{ & {\text{Let the cost price = Rs}}{\text{. 100}} \cr & {\text{Selling price = 120}}\% {\text{ of 100}} \cr & \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,{\text{ = Rs}}{\text{. 120}} \cr & {\text{Market price = 120}} \times \frac{{100}}{{75}}{\text{ }} \cr & \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,{\text{ = Rs}}{\text{. 160}} \cr & {\text{Above }}\% {\text{ = }}\frac{{160 - 100}}{{100}} \times 100 \cr & \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, = 60\% \cr} $$