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 : 6 [SSC CISF ASI 2010]
The selling price of an article is Rs.1,920 and the discount given is 4%. The marked price of the article is
a) Rs.2,000
b) Rs.2,400
c) Rs.1,200
d) Rs.1,600
Answer »Answer: (a)
If the marked price of the article be x, then
96% of x = 1920
${x × 96}/100 = 1920$
$x ={1920 × 100}/96$ = Rs.2000
Using Rule 2,
S.P. = Rs.1920 D = 4% M.P. = ?
M.P. = $\text"S.P. × 100"/{100 - D}$
= ${1920 × 100}/{100 - 4}$
= ${1920 × 100}/96$ = Rs.2000
Question : 7 [SSC GL Tier-II 2012]
Rahim bought a T.V. with 20% discount on list price. Had he bought it with 25% discount he would have saved Rs.500. At what price did he buy the T.V?
a) Rs.12,000
b) Rs.16,000
c) Rs.8,000
d) Rs.10,000
Answer »Answer: (c)
If the marked price of T.V. be x, then,
${x × 5}/100$ = 500
$x = {500 × 100}/5$ = Rs.10000
Initial S.P. of T.V.
= ${10000 × 80}/100$ = Rs.8000
Question : 8
A shopkeeper sells his goods at 15% discount. The marked price of an article whose selling price is Rs.629 is :
a) Rs.704
b) Rs.740
c) Rs.614
d) Rs.700
Answer »Answer: (b)
Let the marked price be x.
${x × 85}/100$ = 629
$x = {629 × 100}/85$ = Rs.740
Using Rule 2,
M.P. = ? , S.P. = Rs.629, D = 15%
M.P. = $\text"S.P. × 100"/{100 - D}$
= ${629 × 100}/{100 - 15}$
= $62900/85$ = Rs.740
Question : 9
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 »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
Question : 10 [SSC CPO S.I.2007]
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 »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
IMPORTANT quantitative aptitude EXERCISES
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