model 5 marked price Practice Questions Answers Test with Solutions & More Shortcuts

Question : 6 [SSC CGL Tier-1 2011]

A shopkeeper allows 23% commission on his advertised price and still makes a profit of 10%. If he gains Rs.56 on one item, his advertised price of the item, (in Rs.) is

a) 820

b) 790

c) 800

d) 780

Answer: (c)

Let the advertised price be x.

S.P. = ${77x}/100$

C.P. = $({77x}/100 - 56)$

${77x - 5600}/100 × 110/100 = {77x}/100$

${77x - 5600}/100 = {77x}/110 = {7x}/10$

77x - 5600 = 70x

7x = 5600 ⇒ x = Rs.800

Question : 7 [SSC CGL Prelim 2004]

At what per cent above the cost price, must a shop–keeper marks his goods so that he gains 20% even after giving a discount of 10% on the marked price ?

a) 25%

b) 33$1/3$%

c) 37$1/2$%

d) 30%

Answer: (b)

Let the CP be Rs.100. Then, SP = Rs.120.

Let the marked price be x.

Then, 90% of x = 120

$x = {120 × 100}/90 = 400/3 = 133{1}/3%$

It means he should mark $33{1}/3%$ higher than CP.

Question : 8 [SSC CGL Prelim 2004]

The marked price of an article is 10% higher than cost price. A discount of 10% is given on marked price. In this kind of sale, the seller bears :

a) no loss, no gain

b) a gain of 1%

c) a loss of 1%

d) a loss of 5%

Answer: (c)

Let the CP of article be 100.

Marked price = Rs.110

After 10% discount,

SP = 90% of Rs.110 = Rs.99

Loss = Rs.1 i.e. 1% of loss

Question : 9 [SSC CHSL 2011]

The marked price of an article is 50% above cost price. When marked price is increased by 20% and selling price is increased by 20%, the profit doubles. If original marked price is Rs.300, then original selling price is

a) Rs.200

b) Rs.240

c) Rs.275

d) Rs.250

Answer: (d)

Let the original S.P. be x. C.P. of the article

= ${300 × 100}/150$ = Rs.200

After corresponding increases

${x × 120}/100 - 200 = 2(x - 200)$

${6x}/5 - 200 = 2x - 400$

6x - 1000 = 10x - 2000

4x = 1000 ⇒ x = Rs.250

Question : 10 [SSC MTS 2013]

The cost of manufacture of a tape recorder is Rs.1,500. The manufacturer fixes the marked price 20% above the cost of manufacture and allows a discount in such a way as to get a profit of 8%. The rate of discount is

a) 12%

b) 20%

c) 10%

d) 8%

Answer: (c)

Marked price of tape recorder

= ${1500 × 120}/100$ = Rs.1800

Gain = ${1500 × 8}/100$ = Rs.120

Discount = 1800 - (1500 + 120) = Rs.180

Let Discount per cent = x%, then

${1800 × x}/100$ = 180 ⇒ x = 10%

Method 2 :

If the discount be x%, then

$20 - x - {20x}/100$ = 8

$20 - {6x}/5 = 8$

${6x}/5$ = 20 - 8 = 12

$ x = {12 × 5}/6$ = 10%

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