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

Question : 26 [SSC CGL Tier-I 2013]

On selling an article for Rs.170, a shopkeeper loses 15%. In order to gain 20%, he must sell that article at :

a) Rs.215.50

b) Rs.240

c) Rs.210

d) Rs.212.50

Answer: (b)

C.P. of article = ${170 × 100}/85$ = Rs.200

Required S.P. = ${200 × 120}/100$ = Rs.240

Using Rule 3,

C.P. = S.P.$(100/{100 - Loss%})$

C.P. = ${170 × 100}/{100 - 15}$

= $17000/85$ = Rs. 200

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

= $200({100 + 20}/100)$

= ${200 × 120}/100$ = Rs.240

Question : 27 [SSC CGL Prelim 2008]

A shopkeeper bought 80kg of sugar at the rate of Rs.13.50 per kg. He mixed it with 120kg of sugar costing Rs.16 per kg. In order to make a profit of 20%, he must sell the mixture at

a) Rs.18 per kg

b) Rs.16.40 per kg

c) Rs.15 per kg

d) Rs.17 per kg

Answer: (a)

CP of 200kg of sugar

= Rs.(80 × 13.50 + 120 × 16)

= Rs.(1080 + 1920) = Rs.3000

CP of 1 Kg of sugar

= $3000/200$ = Rs.15

To gain 20% SP = 15 × $120/100$ = Rs.18 /kg.

Question : 28 [SSC CPO S.I.2009]

By selling a basket for Rs.19.50, a shopkeeper gains 30%. For how much should he sell it to gain 40% ?

a) Rs.21

b) Rs.24

c) Rs.23

d) Rs.21.50

Answer: (a)

Let CP of basket be Rs.x.

130% of x = 19.50

${130 × x}/100 = 19.50$

$x = {19.50 × 100}/130$ = Rs.15

For 40% gain,

SP = ${140 × 15}/100$ = Rs.21

Using Rule 3

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

= ${19.50 × 100}/{100 + 30}$

= $1950/130$ = Rs. 15

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

= $15({100 + 40}/100)$

= ${15 × 140}/100 = 210/10$ = Rs.21

Question : 29 [SSC CHSL 2014]

Mr. Y purchased a flat for Rs.9,25, 000 and spent Rs.35, 000 for its renovation. If he sold the flat for 10, 80, 000 then his profit percent is

a) 15.0

b) 20.0

c) 12.5

d) 17.5

Answer: (c)

Actual cost price of flat

= Rs.(925000 + 35000) = Rs.960000

S.P. = Rs.1080000

Profit = Rs. (1080000 - 960000) = Rs.120000

Profit percent= $120000/960000 × 100$ = 12.5%

Question : 30 [SSC CGL Tier-I 2016]

After selling 5% of a quantity of sugar, 5 kg. of sugar remains. Find the total quantity of sugar.

a) 19 kg.

b) 100 kg.

c) 95 kg.

d) 5$5/19$ kg.

Answer: (d)

Let the total quantity of sugar be x kg.

According to the question,

(100 - 5)% of x = 5

$x × 95/100$ = 5

$x = 500/95 = 100/19 = 5{5}/19$ kg.

IMPORTANT quantitative aptitude EXERCISES

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