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 : 16
The cost price of an article is 64% of the marked price. The gain percentage after allowing a discount of 12% on the marked price is
a) 48%
b) 37.5%
c) 52%
d) 50.5%
Answer »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%
Question : 17 [SSC CPO S.I.2010]
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 : 18 [SSC CGL Prelim 2004]
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 : 19 [SSC DEO 2008]
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 : 20 [SSC CGL Prelim 2003]
A discount of 14% on the marked price of an article is allowed and then the article is sold for Rs.387. The marked price of the article is
a) Rs.427
b) Rs.450
c) Rs.440
d) Rs.500
Answer »Answer: (b)
Let the marked price be x
86% of x = 387
$x = {387 × 100}/86$ = Rs.450
Using Rule 2,If article is sold on D% discount, thenSP = ${\text"MP"(100 - D)}/100$MP = ${\text"SP" × 100}/{100 - D}$
Here, D = 14%, S.P. = Rs.387, M.P. = ?
M.P. = ${\text"SP" × 100}/{100 - D}$
= ${387 × 100}/{100 - 14}$
= $38700/86$ = Rs.450
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