model 4 mixed discount problems of marked price Section-Wise Topic Notes With Detailed Explanation And Example Questions

MOST IMPORTANT quantitative aptitude - 4 EXERCISES

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The following question based on discount topic of quantitative aptitude

Questions : A discount of 24% on the marked price of an article is allowed and then the article is sold for Rs.342. The marked price of the article is

(a) Rs.490

(b) Rs.500

(c) Rs.430

(d) Rs.450

The correct answers to the above question in:

Answer: (d)

If the marked price of article be x, then

${x × 76}/100 = 342$

$x = {342 × 100}/76$ = Rs.450

Using Rule 2,

Here, D = 24%, S.P. = Rs.342, M.P. = ?

M.P. = $\text"S.P. × 100"/{100 - D}$

= ${342 × 100}/{100 - 24}$

= $34200/76$ = Rs.450

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Read more mixed problems on marked price Based Quantitative Aptitude Questions and Answers

Question : 1

The cost price of an article is 64% of the marked price. The gain percentage after allowing a discount of 12% on the marked price is

a) 48%

b) 37.5%

c) 52%

d) 50.5%

Answer: (b)

Let marked price of article = Rs.100

C.P. of article = Rs.64

S.P. of article = Rs.88

Profit per cent

= ${88 - 64}/64 × 100$ = 37.5%

Question : 2

An article, which is marked Rs.650, is sold for Rs.572. The discount given is

a) 13%

b) 12%

c) 26%

d) 21%

Answer: (b)

Discount = 650 - 572 = Rs.78

If the discount bex% then

${650 × x}/100 = 78$

$x = {78 × 100}/650 = 12%$

Using Rule 1,
If Marked Price = (MP), Selling Price = (SP)
Then, Discount = MP - SP and
Discount% = $\text"Discount"/\text"MP" × 100$
Discount% = $\text"Marked Price - Selling Price"/\text"Marked Price" × 100$
Note:Any kind of Discount is calculated only on marked price and not on selling price or cost price.

Here, M.P. = Rs.650, S.P. = Rs.572

Discount % = $\text"M.P. - S.P."/\text"M.P." × 100$

= ${650 - 572}/650 × 100$

= $7800/650$ = 12%

Question : 3

A shop-keeper sells a badminton racket whose marked price is Rs.30, at a discount of 15% and gives a shuttle cock costing Rs.1.50 free with each racket. Even then he makes a profit of 20%. His cost price, per racket, is

a) Rs.21.25

b) Rs.21.00

c) Rs.19.75

d) Rs.20.00

Answer: (d)

Discount = 15%

SP of racket = 85% of Rs.30 = Rs.25.50

One shuttle cock of Rs.1.50 is free.

Actual SP

= Rs.(25.50 - 1.50) = Rs.24

He still gains 20%

CP = $100/120 × 24$ = Rs.20

Question : 4

A discount of 16% on the marked price of a book enables a man to buy a pen that costs Rs.80. How much did he pay for the book ?

a) Rs.480

b) Rs.500

c) Rs.340

d) Rs.420

Answer: (b)

Let the amount paid (s.p.) be x

16% of x = 80

x = $80/16 × 100$

x = Rs.500

Question : 5

While selling a watch, a shopkeeper gives a discount of 5%. If he gives a discount of 6%, he earns Rs.15 less as profit. What is the marked price of the watch?

a) Rs.1,400

b) Rs.1,250

c) Rs.750

d) Rs.1,500

Answer: (d)

Let the marked price of watch be x.

${x × 95}/100 - {x × 94}/100 = 15$

x = 15 × 100 = Rs.1500

Question : 6

A discount of 2½% is given to the customer on the marked price of an article. A man bought the article for Rs.39. The marked price of the article is :

a) Rs.36.5

b) Rs.42

c) Rs.41.5

d) Rs.40

Answer: (d)

Suppose printed price = Rs.100

S.P. = Rs.(100–2.5) = Rs.97.5

Marked Price = ${100 × 39}/{97.5}$ = Rs.40

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