model 4 mixed discount problems of marked price Practice Questions Answers Test with Solutions & More Shortcuts
discount PRACTICE TEST [4 - EXERCISES]
model 1 profit x after discount y
model 2 hiking & discounting
model 3 successive discount
model 4 mixed discount problems of marked price
Question : 11 [SSC CHSL 2011]
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 »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 : 12
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 »Answer: (d)
Suppose printed price = Rs.100
S.P. = Rs.(100–2.5) = Rs.97.5
Marked Price = ${100 × 39}/{97.5}$ = Rs.40
Question : 13 [SSC CGL Tier-1 2011]
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
Question : 14 [SSC Constable 2012]
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 : 15 [SSC CISF 2011]
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
IMPORTANT quantitative aptitude EXERCISES
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