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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-2 section-2

Each section contains 100 MCQs on True Discount .
11
The marked price of an article is Rs. 1,500. If two successive discounts, each of x%, on the marked price is equal to a single discount of Rs. 587.40, then what will be the selling price of the article if a single discount of x% is given on the marked price?
Discuss
Answer & Solution
Answer: Option D
Solution:
Total discount % = $$\frac{{587.40}}{{1500}}$$  × 100 = 39.16%
It's mean discount will be more than 20%
When, we let discount 22% it's satisfied
22 + 22 - $$\frac{{22 \times 22}}{{100}}$$  = 39.16%
So, discount = 22%
Cost price = $$\frac{{1500 \times 78}}{{100}}$$  = 1170
12
A person marks his goods x% above the cost price and allows a discount of 30% on the marked price. If his profit is 5%, then the value of x will be:
Discuss
Answer & Solution
Answer: Option A
Solution:
$$30\% \to \frac{{ - 3}}{{10}}$$
True Discount mcq question image
$$\eqalign{ & 100 + x = 150 \cr & x = 50 \cr} $$
13
If the selling price of an article is 32% more than its cost price and the discount offered on its marked price is 12%, then what is the ratio of its cost price to the marked price?
Discuss
Answer & Solution
Answer: Option A
Solution:
$$32\% \to \frac{{ + 8}}{{25}},\,\,12\% \to \frac{{ - 3}}{{25}}$$
\[\begin{array}{*{20}{c}} {{\text{Cost price }}\,\,\,{\text{ Selling price }}\,\,\,{\text{ Marked price}}} \\ {{{25}_{ \times 2}}\,\,\,\,\,\,\,\,\,\,\,\,:\,\,\,\,\,\,\,\,\,\,\,\,{{33}_{ \times 2}}\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,} \\ {\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,{{22}_{ \times 3}}\,\,\,\,\,\,\,\,\,\,\,:\,\,\,\,\,\,\,\,\,\,\,{{25}_{ \times 3}}} \\ {\overline {\,\,50\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,:\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,66\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,:\,\,\,\,\,\,\,\,\,\,\,\,\,75\,\,\,\,\,\,\,\,} } \end{array}\]
$${\text{Cost price}}:{\text{Marked price}} = 2:3$$
14
The marked price of an article is Rs. 550. A shopkeeper allows a discount of 20% and still gets a profit of 10%. If he sells it for Rs. 470, his profit percent will be:
Discuss
Answer & Solution
Answer: Option C
Solution:
True Discount mcq question image
Cost price = 400
Selling price = 470
Profit % $$ = \frac{{70}}{{400}} \times 100 = 17.5\% $$
15
Three successive discount of 12%, 13% and 11% are equivalent to an approximate single discount of:
Discuss
Answer & Solution
Answer: Option A
Solution:
Equivalent discount of (12%, 13%, 11%) = ?
Equivalent discount of (12% and 11%)
= 12 + 11 - $$\frac{{12 \times 11}}{{100}}$$
= 23 - 1.32
= 21.68%
Equivalent discount of (21.68% and 11%)
= 21.68 + 11 - $$\frac{{21.68 \times 11}}{{100}}$$
= 32%
16
A shopkeeper allows 18% discount on the marked price of an article and still makes a profit of 23%. If he gains Rs. 18.40 on the sale of the article, then what is the marked price of the article?
Discuss
Answer & Solution
Answer: Option A
Solution:
True Discount mcq question image
17
A trader gains 25% by selling an article with 20% discount on its marked price. If the cost price of the article increased by 30%, then how much discount (in %) should he offer on the same marked price to gain 15% of profit?
Discuss
Answer & Solution
Answer: Option D
Solution:
$$\eqalign{ & \frac{{{\text{Cost price}}}}{{{\text{Marked price}}}} = \frac{{100 - {\text{Discount}}}}{{100 + {\text{Profit}}}} \cr & = \frac{{100 - 20}}{{100 + 25}} \cr & = \frac{{80}}{{125}} \cr & {\text{New cost price}} = 80 \times \frac{{130}}{{100}} = 104 \cr & {\text{New selling price}} = 104 \times \frac{{115}}{{100}} = 119.6 \cr & {\text{Discount}} = 125 - 119.6 = 5.4 \cr & {\text{Discount }}\% = \frac{{5.4}}{{125}} \times 100 = 4.32\% \cr} $$
18
A shopkeeper sells an item for Rs. 492 after allowing 18% discount on its marked price. Had he NOT allowed any discount, be would have earned a profit of 20% on the cost price. What is the cost price of the item?
Discuss
Answer & Solution
Answer: Option A
Solution:
True Discount mcq question image
19
An article is marked 35% above cost. If a profit of 20% is earned by selling the article, then the discount percent offered on the marked price of the article is:
Discuss
Answer & Solution
Answer: Option C
Solution:
Let cost price = 100
\[\begin{array}{*{20}{c}} {{\text{Cost price}}}&{}&{{\text{Selling price}}}&{}&{{\text{Marked price}}} \\ {100}&:&{120}&:&{135} \end{array}\]
Discount % = $$\frac{{15}}{{135}}$$ × 100 = $$11\frac{1}{9}\% $$
20
A person sells an article at 16% below its cost price. Had he sold it for Rs. 33 more, he would have gained 14%. To gain 25% he should sell the article for:
Discuss
Answer & Solution
Answer: Option B
Solution:
$$\eqalign{ & {\text{Let cost price}} = x \cr & x \times \frac{{114}}{{100}} - \frac{{x \times 84}}{{100}} = 33 \cr & x \times 30 = 33 \times 100 \cr & x = 110 \cr & {\text{To gain }}25\% , \cr & {\text{Selling price}} = \frac{{110 \times 125}}{{100}} = 137.50 \cr} $$