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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-3 section-1

Each section contains 100 MCQs on True Discount .
21
A shopkeeper earns a profit of 10% after allowing a discount of 20% on the marked price. The cost price of the article whose marked price is Rs. 880, is = ?
Discuss
Answer & Solution
Answer: Option B
Solution:
Market price of the article = Rs. 880
After discount selling price of the article
$$\eqalign{ & {\text{ = }}\frac{{880 \times 80}}{{100}} \cr & {\text{ = Rs}}{\text{. 704}} \cr & {\text{Cost price of the article }} \cr & {\text{ = }}\frac{{704 \times 100}}{{110}} \cr & = {\text{Rs}}{\text{. 640}} \cr} $$
22
A fan is listed at Rs. 1500 and a discount of 20% is offered on the list price. What additional discount must be offered to the customer now to bring the net price to Rs. 1104 ?
Discuss
Answer & Solution
Answer: Option A
Solution:
Listed price of fan = Rs. 1500
After discount listed price
$$\eqalign{ & {\text{ = 80}}\% {\text{ of 1500}} \cr & {\text{ = }}\frac{{80}}{{100}} \times {\text{1500 }} \cr & {\text{ = Rs}}{\text{. 1200}} \cr} $$
Net price of fan = Rs. 1104
Differece = 1200 - 1104 = Rs. 96
Additional discount
$$\eqalign{ & {\text{ = }}\frac{{96}}{{1200}} \times 100 \cr & = 8\% \cr} $$
23
A single discount equivalent to the successive discounts of 10%, 20% and 25% is = ?
Discuss
Answer & Solution
Answer: Option C
Solution:
Let the price is = Rs. 100
After discount price
$$\eqalign{ & {\text{ = 100}} \times \frac{{90}}{{100}} \times \frac{{80}}{{100}} \times \frac{{75}}{{100}} \cr & {\text{ = Rs}}{\text{. 54}} \cr & {\text{Difference = 100}} - 54 \cr & \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, = 46\% \cr} $$
So, 46% is a single discount of percent of this series.

Alternate :
Successive discount of 10% of 20%
$$\eqalign{ & = 10 + 20 - \frac{{10 \times 20}}{{100}} \cr & = 28\% \cr} $$
Then successive discount of 28% and 25%
$$\eqalign{ & = 28 + 25 - \frac{{28 \times 25}}{{100}} \cr & = 46\% \cr} $$
24
The discount series 10%, 20%, 40% is equivalent to a single discount of = ?
Discuss
Answer & Solution
Answer: Option B
Solution:
Let the price is = Rs. 100
After discount price
$$\eqalign{ & {\text{ = 100}} \times \frac{{90}}{{100}} \times \frac{{80}}{{100}} \times \frac{{60}}{{100}} \cr & {\text{ = Rs}}{\text{. 43}}{\text{.2}} \cr & {\text{Difference = 100}} - 43.2 \cr & \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, = 56.8\% \cr} $$
So, 56.8% is a single discount of percent of this series.

Alternate :
Successive discount of 10% of 20%
$$\eqalign{ & = 10 + 20 - \frac{{10 \times 20}}{{100}} \cr & = 28\% \cr} $$
Then successive discount of 28% and 40%
$$\eqalign{ & = 28 + 40 - \frac{{28 \times 40}}{{100}} \cr & = 56.8\% \cr} $$
25
A trader marked the selling price of an article at 10% above the cost price. At the time of selling he allows certain discount and suffers a loss of 1%. He allowed the discount of ?
Discuss
Answer & Solution
Answer: Option B
Solution:
Let the cost price of an article = Rs. 100
Marked price of an article = Rs. 110 (10% above)
Selling price of an article = Rs. 99 (10% discount)
$$\eqalign{ & {\text{Difference}} = {\text{ }}110 - 99{\text{ }} \cr & \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,{\text{ = Rs}}{\text{. 11}} \cr & {\text{Discount}} = \frac{{11}}{{110}} \times 100 \cr & \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, = 10\% \cr} $$
26
A shopkeeper marks his goods 30% above his cost price but allows a discount of 10% at the time of sale. His gain is = ?
Discuss
Answer & Solution
Answer: Option D
Solution:
Let the cost price of goods = Rs. 100
Mark price of goods = Rs. 130 (30% discount)
Selling price of goods = 90% of 130 = Rs. 117
Gain = 117 - 100 = Rs. 17
$${\text{Gain}}\% = \frac{{17}}{{100}} \times 100 = 17\% $$
27
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 = ?
Discuss
Answer & Solution
Answer: Option A
Solution:
Selling price of article = Rs. 387
Mark price of article
$$\eqalign{ & {\text{ = }}\frac{{387 \times 100}}{{86}} \cr & = {\text{Rs}}{\text{. 450}} \cr} $$
28
A man sells a scooter priced Rs. 36000. He gives a discount of 8% on the first Rs. 20000 and 5% on the next Rs. 10000. How much discount can he offer on the remaining Rs. 6000 if he is to get as much as when 7% discount is allowed on the total ?
Discuss
Answer & Solution
Answer: Option C
Solution:
Mark price of scooter = Rs. 36000
According to question,
$${\text{20000}} \times \frac{8}{{100}} + $$   $$10000 \times \frac{5}{{100}}{\text{ + }}$$   $${\text{ 6000}} \times \frac{x}{{100}}$$   $$ = {\text{36000}} \times \frac{7}{{100}}$$
$$\eqalign{ & \Rightarrow 1600 + 500 + 60x = 2520 \cr & \Rightarrow 60x = 420 \cr & \Rightarrow x = \frac{{420}}{{60}} \cr & \Rightarrow x = 7\% \cr} $$
29
A housewife saved Rs. 2.50 in buying a dress on sale. If she spent Rs. 25 for the dress, approximately how much percent she saved in the transaction ?
Discuss
Answer & Solution
Answer: Option B
Solution:
House wife spends Rs. 25 on dress and saved Rs. 2.50
Total transaction = 25 + 2.50 = Rs. 27.50
$$\eqalign{ & {\text{Save }}\% = \frac{{2.50}}{{27.50}} \times 100 \cr & \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, = \frac{{100}}{{11}}\% \cr & \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, = 9\% {\text{ ( approx)}} \cr} $$
30
List price of an article at a showroom is Rs. 2000 and it is being sold at successive discount of 20% and 10%, its net selling price will be = ?
Discuss
Answer & Solution
Answer: Option C
Solution:
List price of an article = Rs. 2000
After discount, selling price
$$\eqalign{ & = {\text{2000}} \times \frac{{80}}{{100}} \times \frac{{90}}{{100}} \cr & {\text{ = Rs}}{\text{. 1440}} \cr} $$