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

Question : 16 [SSC FCI 2013]

By selling 80 ball pens for Rs.140 a retailer loses 30%. How many ball pens should he sell for Rs.104 so as to make a profit of 30%?

a) 32

b) 48

c) 42

d) 52

Answer: (a)

Using Rule 3,

C.P. of 80 ball pens = $140 × 100/70$ = Rs.200

For a gain of 30%

S.P. = ${200 × 130}/100$ = Rs.260

Since, Rs.260 = 80 ball pens

Rs.104 = $80/260 × 104$ = 32

Question : 17 [SSC DEO 2008]

By selling an article for Rs.665, there is a loss of 5%. In order to make a profit of 12%, the selling price of the article must be

a) Rs.812

b) Rs.790

c) Rs.784

d) Rs.800

Answer: (c)

Using Rule 3,

CP of the article $100/{100 - loss%}$ × S.P.

= Rs.$(100/95 × 665)$ = Rs.700

For the gain of 12%

SP of the article = 112% of 700

= ${700 × 112}/100$ = Rs.784

Question : 18 [SSC CGL Tier-I 2016]

12 copies of a book were sold for Rs. 1800 thereby gaining cost price of 3 copies. The cost price of a copy of the book is :

a) Rs. 120

b) Rs. 1200

c) Rs. 1500

d) Rs. 150

Answer: (a)

Let the C.P. of each book be Rs.x.

According to the question,

S.P. of 12 copies = Rs.(12x + 3x) = Rs.15x

15x = 1800

$x = 1800/15$ = Rs.120

Question : 19 [SSC SO 2005]

A loss of 20% is incurred when 6 articles are sold for a rupee. To gain 20% how many articles should be sold for a rupee ?

a) 1

b) 3

c) 4

d) 2

Answer: (c)

100% = 6

C.P. = 80% = $6/100 × 80 = 24/5$

Now, 120% = $24/5$

100% = ${24 × 100}/{5 × 120}$ = 4

Question : 20 [SSC CGL Prelim 2003]

By selling an article for Rs.240, a man incurs a loss of 10%. At what price should he sell it, so that he makes a profit of 20% ?

a) Rs.264

b) Rs.300

c) Rs.320

d) Rs.288

Answer: (c)

90% of C.P. = Rs.240

C.P = Rs.${240 × 100}/90$

New S.P. = 120% of C.P.

= Rs.$240 × 100/90 × 120/100$ = Rs.320

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