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 : 26 [SSC CGL Prelim 2004]
A trader marked the price of his commodity so as to include a profit of 25%. He allowed discount of 16% on the marked price. His actual profit was :
a) 9%
b) 5%
c) 25%
d) 16%
Answer »Answer: (b)
Let the C.P. be Rs.100
Marked price = Rs.125
S.P. = 8% of 125
= ${84 × 125}/100$ = Rs.105
Profit = Rs.(105 - 100) = Rs.5
Profit % = 5%
Question : 27 [SSC CGL Prelim 2008]
While selling a cooler, a shopkeeper gives a discount of 10% on the marked price. If he gives a discount of 12% he earns Rs.35 less as profit. The marked price of the cooler is
a) Rs.1,625
b) Rs.1,650
c) Rs.1,750
d) Rs.1,725
Answer »Answer: (c)
Let the market price of the cooler be x,
According to the question,
(12 - 10)% of x = 35
${x × 2}/100 = 35$
$x = 3500/2$ = Rs.1750
Question : 28 [SSC CGL Prelim 2000]
A retailer buys 40 pens at the marked price of 36 pens from a wholesaler. If he sells these pens giving a discount of 1%, what is the profit percent?
a) 10%
b) 9%
c) 11%
d) 10$1/9$%
Answer »Answer: (a)
Let the marked price of each pen be x
Total cost price of 40 pens = Total marked price of 36 pens = 36x
Selling price of 1 pen after 1% discount
= (1–0.01)x = 0.99x
Selling price of 40 pens
= 40 × 0.99x = 39.6x
Profit = ${39.6 - 36}/36 × 100$
= ${3.6}/36 × 100 = 10%$
Question : 29 [SSC CPO S.I.2003]
A sells a scooter priced Rs.36,000. He gives a discount of 8% on the first Rs.20,000 and 5% on the next Rs.10,000. How much discount can he offered on the remaining Rs.6,000 if he is to get as much as when 7% discount is allowed on the total ?
a) 6%
b) 5%
c) 8%
d) 7%
Answer »Answer: (d)
Discount on Rs.36000
= ${36000 × 7}/100$ = Rs.2520
Discount on first Rs.20,000
= ${20000 × 8}/100$ = Rs.1600
Discount on next Rs.10,000
= ${10,000 × 5}/100$ = Rs.500
Discount on remaining Rs.6,000
= 2520 - (1600 + 500) = Rs.420
∴ Required percent
= ${420 × 100}/6000$ = 7%
Question : 30 [SSC SO 2007]
If a discount of 20% on the marked price of a shirt saves a man Rs. 150, how much did he pay for the shirt ?
a) Rs.650
b) Rs.600
c) Rs.620
d) Rs.500
Answer »Answer: (b)
Let the marked price of the shirt be Rs.x.
According to the question,
$x × 20/100$ = 150
$x = {150 × 100}/20$ = 750
Price paid = Rs.(750 - 150) = Rs.600
IMPORTANT quantitative aptitude EXERCISES
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