model 4 mixed discount problems of marked price Section-Wise Topic Notes With Detailed Explanation And Example Questions
MOST IMPORTANT quantitative aptitude - 4 EXERCISES
The following question based on discount topic of quantitative aptitude
(a) 48%
(b) 37.5%
(c) 52%
(d) 50.5%
The correct answers to the above question in:
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%
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Read more mixed problems on marked price Based Quantitative Aptitude Questions and Answers
Question : 1
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 »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 andDiscount% = $\text"Discount"/\text"MP" × 100$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 : 2
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 »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 : 3
A shopkeeper allows 4% discount on his marked price. If the cost price of an article is Rs.100 and he has to make a profit of 20%, then his marked price must be
a) Rs.120
b) Rs.96
c) Rs.130
d) Rs.125
Answer »Answer: (d)
Let the marked price of the article be x
According to the question,
96% of x = 120% of 100
$x × 96/100 = {100 × 120}/100$
$x = {100 × 120}/100$ = Rs.125
Using Rule 6,
Here, r = 20%, D = 4%,
C.P. = Rs.100, M.P. = ?
$\text"MP"/\text"CP" = {100 + r}/{100 - D}$
$\text"MP"/100 = {100 + 20}/{100 - 4}$
M.P. = ${120 × 100}/96$
= $1000/8$ = Rs.125
Question : 4
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 »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 : 5
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 »Answer: (b)
Let the amount paid (s.p.) be x
16% of x = 80
x = $80/16 × 100$
x = Rs.500
Question : 6
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 »Answer: (d)
Let the marked price of watch be x.
${x × 95}/100 - {x × 94}/100 = 15$
x = 15 × 100 = Rs.1500
GET discount PRACTICE TEST EXERCISES
model 1 profit x after discount y
model 2 hiking & discounting
model 3 successive discount
model 4 mixed discount problems of marked price
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