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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-1 section-2

Each section contains 100 MCQs on True Discount .
1
The marked price of an article is 10% higher then the cost price. A discount of 10% is given on the market price. In this kind of sale, the seller bears ?
Discuss
Answer & Solution
Answer: Option D
Solution:
Let cost price of article = Rs. 100
$$\eqalign{ & {\text{Selling price of article - }} \cr & {\text{ = 100}} \times \frac{{110}}{{100}} \times \frac{{90}}{{100}} \cr & = {\text{Rs}}{\text{. 99}} \cr & {\text{Loss }}\% - \cr & = \frac{{100 - 99}}{{100}} \times 100 \cr & = 1\% \cr} $$
2
A shopkeeper sold an item at 10% loss after giving a discount equal to half the marked price. Then the cost price is ?
Discuss
Answer & Solution
Answer: Option C
Solution:
Let the cost price = Rs. 100
Selling price = Rs. 90
Marked price = 90 × 2 = Rs. 180
(∴ Selling price will be half of the Marked price as the discount is also equal to half the Marked price)
$$ \Rightarrow \frac{{{\text{Cost price }}}}{{{\text{Marked price}}}}$$   $$ = \frac{{100}}{{180}}$$   $$ = \frac{5}{9}$$
$$ \Rightarrow {\text{Cost price = }}$$   $$\frac{5}{9}{\text{ of Marked price}}$$
3
A shopkeeper offers 15% discount on all plastic toys. He offers a further discount of 4% on the reduced a piece to those customers who pay cash. What does a customer have to pay (in rupee) in case for a toys of Rs. 200 ?
Discuss
Answer & Solution
Answer: Option C
Solution:
According to the question,
$$\eqalign{ & 200\,({\text{Marked Price}}) \cr & \,\,\,\, \downarrow 15\% \,\,{\text{discount}} \cr & 170 \cr & \,\,\,\, \downarrow 4\% \,\,{\text{discount}} \cr & 163.20 \cr} $$
4
A shopkeeper marks an article at such a price that after giving a discount of $$12\frac{1}{2}\% $$  on the marked price, he still earns a profit of 15%. If the cost price of the article is Rs. 385, then the sum of the marked price and the selling price (in Rs.) of the article is:
Discuss
Answer & Solution
Answer: Option A
Solution:
$$\eqalign{ & 15\% = \frac{{15}}{{100}} = \frac{3}{{20}} \cr & 12\frac{1}{2}\% = \frac{1}{8} \cr} $$
\[\begin{array}{*{20}{c}} {{\text{Cost price }}\,\,{\text{ Selling price}}\,\,{\text{ Marked price}}} \\ {{{20}_{ \times 7}}\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,{{23}_{ \times 7}}\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,} \\ {\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,{7_{ \times 23}}\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,{8_{ \times 23}}} \\ {\overline {\,\,\,140\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,161\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,184\,\,\,\,\,\,\,} } \end{array}\]
140 units = 385
1 unit = $$\frac{{385}}{{140}}$$
Sum of the marked price and the selling price = 184 + 161 = 345 units
345 units = $$\frac{{385}}{{140}}$$ × 345 = 948.75
5
After giving two successive discounts, each of x%, on the marked price of an article, total discount is Rs. 259.20. If the marked price of the article is Rs. 720, then the value of x is:
Discuss
Answer & Solution
Answer: Option C
Solution:
In this type of question, we can go through option. From on C, 20%
$$\eqalign{ & 20 + 20 - \frac{{20 \times 20}}{{100}} = 36\% \cr & \frac{{720 \times 36}}{{100}} = 259.20 \cr & 259.20 = 259.20 \cr} $$
6
An article was sold for Rs. 716 after offering a discount of 10.5%. If a discount of 6.5% is given, the for how much (in Rs.) should it be sold?
Discuss
Answer & Solution
Answer: Option C
Solution:
Let, marked price = 100%
Selling price
S.P1 = 100 - 10.5 = 89.5%
S.P2 = 100 - 6.5 = 93.5%
89.5% = 716
93.5% = $$\frac{{716}}{{89.5}}$$ × 93.5 = 748
7
An article is listed at Rs. 8,500 and the discount offered is 12%. What additional discount (percent) must be given to bring the selling price to Rs. 6,358?
Discuss
Answer & Solution
Answer: Option C
Solution:
$$\eqalign{ & {\text{Let the discount}} = x\% \cr & a = \left( {100 - x} \right) \cr & 8500 \times \frac{{88}}{{100}} \times \frac{a}{{100}} = 6358 \cr & a = 85 \cr & 85 = 100 - x \cr & x = 15\% \cr} $$
8
Radha marks her goods 25% above the cost price. She sells 35% of goods at the marked price, 40% at 15% discount and the remaining at 20% discount. What is her overall percentage gain?
Discuss
Answer & Solution
Answer: Option D
Solution:
\[\begin{array}{*{20}{c}} {{\text{Cost price}}}&{}&{{\text{Marked price}}} \\ {400}&:&{500} \\ {{\text{Number of goods}}}& \to &{35:40:25 = 7:8:5} \\ {}&{}&\begin{gathered} {\text{Selling price}} \hfill \\ \, \downarrow \hfill \\ \end{gathered} \\ {7 \times 500}& = &{3500} \\ {8 \times 425}& = &{2000} \\ {5 \times 400}& = &{2000} \\ {{\text{Total selling price}}}& = &{{\text{Rs}}{\text{. }}8900} \\ {{\text{Cost price}}}& = &{400\left( {7 + 8 + 5} \right)} \\ {}& = &{{\text{Rs}}{\text{. }}8000} \\ {{\text{Profit}}}& = &{{\text{Selling price}} - {\text{Cost price}}} \\ {}& = &{8900 - 8000 = 900} \\ {{\text{Profit}}\,\% }&{ = \frac{{900}}{{8000}} \times 100}&{ = 11.25\% } \end{array}\]
9
A trader marks his goods at 40% above the cost price. He sells 70% of the goods at the marked price and the rest he sells by allowing a 40% discount on the marked price. His percentage profit is:
Discuss
Answer & Solution
Answer: Option C
Solution:
Let, the cost price of 100 article is 100
True Discount mcq question image
Selling price = 98 + 25.2 = 123.2
Profit % $$ = \frac{{23.2}}{{100}} \times 100 = 23.2\% $$
10
If a dining table with marked price Rs. 6,000 was sold to a customer for Rs. 5,520, then the rate of discount allowed on the marked price of the table is:
Discuss
Answer & Solution
Answer: Option C
Solution:
Marked price = Rs. 6000
Selling price = Rs. 5520
Discount = 6000 - 5520 = Rs. 480
Discount % = $$\frac{{480}}{{6000}}$$ × 100 = 8%