model 4 mixed discount problems of marked price Practice Questions Answers Test with Solutions & More Shortcuts

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: (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: (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: (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: (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: (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

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