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 : 1
After allowing a discount of 12% on the marked price of an article, it is sold for Rs.880. Find its marked price.
a) Rs.2,000
b) Rs.1,100
c) Rs.2,100
d) Rs.1,000
Answer »Answer: (d)
Marked price
= $100/{100 - 12} × 880$ = Rs.1000
Using Rule 2,
Here, S.P. = Rs.880, D = 12%, M.P. = ?
M.P. = $\text"S.P. × 100"/{100 - D}$
= ${880 × 100}/{100 - 12}$ = Rs.1000
Question : 2 [SSC CHSL 2010]
When a shopkeeper gives 10% discount on the list price of a toy, his gain is 20%. If he had given a discount of 20%, his percentage of gain would have been
a) 8$1/3$%
b) 6$2/3$%
c) 15%
d) 10%
Answer »Answer: (b)
Let the cost price of toy be Rs.100 and the marked price be x.
${x × 90}/100 = 120$
$x = {120 × 100}/90$ = Rs.$400/3$
S.P. after a discount of 20%
= 80% of $400/3$
= ${400 × 80}/300 = 320/3 = 106{2}/3$
Profit percent
=$106{2}/3 - 100 = 6{2}/3$%
Question : 3
An article is sold at a discount of 20% and an additional discount of 30% is allowed on cash payment. If Vidya purchased the article by paying Rs.2240 in cash, the marked price of the article was
a) Rs.4368
b) Rs.4000
c) Rs.4480
d) Rs.4400
Answer »Answer: (b)
Let the marked price of the article be x.
Equivalent discount for successive discounts of 30% and 20%
= $(30 + 20 - {30 × 20}/100)$%
= (50 - 6)% = 44%
(100 - 44)% of x = 2240
${x × 56}/100 = 2240$
$x = {2240 × 100}/56$ = Rs.4000
Question : 4 [SSC CGL Prelim 2008]
A trader gains 15% after selling an item at 10% discount on the printed price. The ratio of the cost price and printed price of the item is
a) 17 : 18
b) 18 : 23
c) 18 : 25
d) 17 : 23
Answer »Answer: (b)
Let the CP of article be x and its marked price be y.
According to the question,
90% of y = 115% of x
${y × 90}/100 = {x × 115}/100$
$x/y =90/115 = 18/23$ ⇒ 18 : 23
Using Rule 6,
Here, r = 15%, D = 10%
$\text"MP"/\text"CP" = {100 + r}/{100 - D}$
= ${100 + 15}/{100 - 10}$
$\text"M.P."/ \text"C.P."= 115/90$
$\text"C.P."/ \text"M.P."= 90/115$
$\text"C.P."/ \text"M.P."= 18/23$
C.P. : M.P. = 18 : 23
Question : 5
A retailer gets a discount of 40% on the printing price of an article. The retailer sells it at the printing price. His gain per cent is
a) 55%
b) 40%
c) 75%
d) 66$2/3$%
Answer »Answer: (d)
Let the printed price of the article be Rs.100
Discount = 40%
C.P. = Rs.(100 - 40) = Rs.60
S.P. = Rs.100
Gain % = $40/60 × 100$
= $200/3 = 66{2}/3$%
IMPORTANT quantitative aptitude EXERCISES
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