model 1 profit x after discount y Practice Questions Answers Test with Solutions & More Shortcuts

Question : 6 [SSC SO 2007]

A trader sells his goods at a discount of 20%. He still makes a profit of 25%. If he sells the goods at the marked price only, his profit will be

a) 54.25%

b) 50.25%

c) 56.25%

d) 25.56%

Answer: (c)

Let the marked price = Rs.100

S.P = Rs.80

Profit = 25%

CP = Rs.$(100/125 × 80)$ = Rs.64

Profit after selling on marked price

= 100 - 64 = Rs.36

Gain % = $36/64 × 100$ = 56.25%

Using Rule 6,

Here, D = 20% r = 25%

Let, M.P. be Rs.100

$\text"MP"/\text"CP" = {100 + r}/{100 - D}$

$100/\text"CP" = {100 + 25}/{100 - 20}$

C.P. = ${100 × 80}/125$

C.P. = Rs.64

Profit = 100 - 64 = 36

Gain % = $36/64 × 100%$ = 56.25%

Question : 7 [SSC GL Tier-I 2013]

The cost of manufacturing an article was Rs.900. The trader wants to gain 25% after giving a discount of 10%. The marked price must be :

a) Rs.1000

b) Rs.1200

c) Rs.1500

d) Rs.1250

Answer: (d)

CP = Rs.900

S.P. = 125% of 900

= $({900 × 125}/100)$ = Rs.1125

Let the marked price be x

90% of x = Rs.1125

$x = {1125 × 100}/90$ = Rs.1250

Question : 8 [SSC SO 2005]

A shopkeeper buys an article for Rs.180. He wishes to gain 20% after allowing a discount of 10% on the marked price to the customer. The marked price will be

a) Rs.300

b) Rs.270

c) Rs.210

d) Rs.240

Answer: (d)

SP = $180 × 120/100$ = Rs.216

90% = 216

100% = $216/90 × 100$ = Rs.240

Question : 9

The true discount on Rs.1, 860 due after a certain time at 5% is Rs.60. Find the time after which it is due.

a) 1 year

b) 9 months

c) 10 months

d) 8 months

Answer: (d)

Present worth

= 1860 - 60 = Rs.1800

Time = ${100 × \text"True Discount"}/\text"Present worth × Rate"$

= ${100 × 60}/{1800 × 5} = 2/3$ year

= $(2/3 × 12)$ months = 8 months

Question : 10 [SSC MTS 2013]

After allowing a discount of 12% on the marked price, a shopkeeper still gains 21%. The marked price is above the cost price by

a) 42.5%

b) 37.5%

c) 25%

d) 30%

Answer: (b)

C.P. of article = Rs.100

Marked price be x

${x × 88}/100$ = 121

$x = {121 × 100}/88$ = Rs.137.5

i.e. 37.5% above C.P.

Using Rule 9,

Here, r = 12%, R = 21%

Required percentage

= $({r + R}/{100 - r} × 100)$%

= $({12 + 21}/{100 - 12}) × 100%$

= $33/88 × 100%$

= $3/8 × 100$

= $300/8$% = 37.5%

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