model 9 selling an article & interchanging its values Practice Questions Answers Test with Solutions & More Shortcuts

Question : 1 [SSC CPO S.I.2008]

To gain 10% on selling sample milk at the cost price of pure milk, the quantity of water to be mixed with 50 kg. of pure milk is

a) 2.5 Kg.

b) 7.5 Kg.

c) 10 Kg.

d) 5 Kg.

Answer: (d)

Let the quantity of water mixed be x kg.

Let the CP of 1 kg of pure milk = Rs.1

Gain percent=$x/50 × 100$

2x = 10 ⇒ x = 5 kg.

Question : 2 [SSC MTS 2013]

A man sells a car to his friend at 10% loss. If the friend sells it for Rs.54,000 and gains 20%, the original cost price of the car was

a) Rs.25,000

b) Rs.45,000

c) Rs.50,000

d) Rs.35,000

Answer: (c)

If the initial C.P. of car be Rs. x, then

First S.P. = ${9x}/10$

${9x}/10 × 120/100$ = 54000

x = ${54000 × 1000}/{9 × 120}$ = Rs.50000

Question : 3 [SSC CGL Tier-II 2013]

Sourav purchased 30 kg of rice at the rate of Rs.10 per kg and 35 kg at the rate of Rs.11 per kg. He mixed the two. At what price per kg (in Rs.) should he sell the mixture to make a 30% profit in the transaction ?

a) 12.5

b) 13.7

c) 14.25

d) 13

Answer: (b)

Total cost of rice

= Rs.(3 × 10 + 35 × 11)

= Rs.(300 + 385) = Rs.685

Required S.P. = Rs. $({685 × 130}/100)$

Rate per kg = ${685 × 130}/{65 × 100}$ = Rs.13.7

Question : 4 [SSC CGL Prelim 2004]

By selling an article for Rs.69, there is a loss of 8%, when the article is sold for Rs.78, the gain or loss per cent is :

a) neither loss nor gain

b) 4% loss

c) 40% gain

d) 4% gain

Answer: (d)

SP of article = Rs.69

Loss % = 8%

CP = Rs.${100 × 69}/92$ = Rs.75

New SP = Rs.78

Gain % = ${78 - 75}/75$ × 100 = 4%

Using Rule 3,

C.P. = S.P. × $100/{100 - Loss%}$

= ${69 × 100}/{100 - 8}$

= $6900/92$ = Rs. 75

New S.P.= C.P.$({100 + Profit%}/100)$

78 = 75 × $({100 + Profit%}/100)$

7800 = 7500 + 75 Profit%

${7800 - 7500}/75$ = Profit %

$300/75$ = Profit%

Profit% = 4%

Question : 5 [SSC CGL Prelim 2002]

By selling an article for Rs.72, there is a loss of 10%. In order to gain 5%, its selling price should be :

a) Rs.87

b) Rs.80

c) Rs.84

d) Rs.85

Answer: (c)

C.P. of that article

= $72 × 100/{100 - 10} = {72 × 100}/90$ = Rs.80

S.P. of that article on 5% gain

= $80 × 105/100$ = Rs.84

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