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 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

The correct answers to the above question in:

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

Question : 1

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 : 2

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 : 3

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

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

Question : 4

A shopkeeper gains Rs.56 on a toy after allowing 23% discount on its marked price. If his gain is 10%, then the marked price of the toy is :

a) Rs.800

b) Rs.810

c) Rs.740

d) Rs.560

Answer: (a)

Let marked price of toy be x

S.P. = $x × 77/100 = {77x}/100$

C.P. = $x × 77/100 × 100/110 = {7x}/10$

${77x}/100 - {7x}/10 = 56$

${7x}/100 = 56$

$x = {100 × 56}/7$ = Rs.800

Question : 5

Ravi buys an article with a discount of 25% on its marked price. He makes a profit of 10% by selling it at Rs.660. The marked price of the article was:

a) Rs.700

b) Rs.600

c) Rs.685

d) Rs.800

Answer: (d)

CP of the article for Ravi

= $660 × 100/110$ = Rs.600

Ravi bought the article at the discount of 25%

75% of marked price = Rs.600

Marked price

= ${600 × 100}/75$ = Rs.800

Question : 6

A shopkeeper sells his goods at 10% discount on the marked price. What price should he mark on an article that costs him Rs.900 to gain 10% ?

a) Rs.1250

b) Rs.1275

c) Rs.1100

d) Rs.1175

Answer: (c)

C.P. = Rs.900, Gain = 10%

S.P. = Rs.$(110/100 × 900)$ = Rs.990

Let the marked price be x.

$90/100 x$ = 990

$x = {990 × 100}/90$ = Rs.1100

Using Rule 6,

Here, D = 10%, C.P. = Rs.900,

R = 10%, M.P. = ?

$\text"MP"/\text"CP" = {100 + r}/{100 - D}$

$\text"MP"/900 = {100 + 10}/{100 - 10}$

M.P. = $110/90 × 900$ = Rs.1100

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