model 8 two article sold in different rates Practice Questions Answers Test with Solutions & More Shortcuts

Question : 26 [SSC CGL Tier-II 2013]

Two items A and B are sold at a profit of 10% and 15% respectively. If the amount of profit received is the same, then the cost price of A and B may be

a) Rs.3,000, Rs.5,000

b) Rs.3,000, Rs.2,000

c) Rs.5,000 Rs.2,000

d) Rs.1,000, Rs.1,500

Answer: (b)

Check through option 10% of 3000

= ${3000 × 10}/100$ = Rs.300

15% of 2000

= ${2000 × 15}/100$ = Rs.300

Question : 27 [SSC CHSL 2012]

A man sold two articles at Rs.375 each. On one, he gains 25% and on the other, he loses 25%. The gain or loss% on the whole transaction is

a) 6 1 4 %

b) 5%

c) 4 1 6 %

d) 6%

Answer: (a)

Using Rule 10,
If a man sells two similar objects, one at a loss of x% and another at a gain of x%, then he always incurrs loss in this transaction and loss% is $x^2/100%$

Here, both the articles are sold at the same price.

Hence, there is always loss.

Loss per cent= ${25 × 25}/100 = 25/4 = 6{1}/4$%

Question : 28 [SSC DEO 2008]

A person bought two articles A and B for Rs.5,000. He sold A at 20% profit and B at 10% loss. He thus gained 2% on his outlay. The cost price of A was

a) Rs.3,500

b) Rs.2,000

c) Rs.2,500

d) Rs.3,000

Answer: (b)

Let the CP of article A be Rs.x

CP of article B = Rs.(5000 - x)

According to the question,

120% of x + 90% of (5000 - x) = 102% of 5000

120x + 450000 - 90x = 510000

30x = 510000 - 450000 = 60000

x = $60000/30$ = Rs.2000

Question : 29 [SSC Constable 2013]

A shopkeeper purchased a TV for Rs.2,000 and a radio for Rs.750. He sells the TV at a profit of 20% and the radio at a loss of 5%. The total loss or gain is

a) Loss Rs.300

b) Loss Rs.332

c) Gain Rs.362.50

d) Gain Rs.352.50

Answer: (c)

S.P. of TV = $2000 × 120/100$ = Rs.2400

S.P. of radio = ${750 × 95}/100$ = Rs.712.5

Total S.P. = 2400 + 712.5 = Rs.3112.50

Gain = 3112.5 - 2000 - 750 = Rs.362.50

Question : 30 [SSC CHSL 2012]

A man purchases two fans for Rs.2,160. By selling one fan at a profit of 15% and the other at a loss of 9% he neither gains nor loses in the whole transaction. Find the cost price of each fan in Rs.

a) 1340, 820

b) 810, 1350

c) 1530, 630

d) 710, 1450

Answer: (b)

Let the C.P. of fans be Rs.x and Rs.y respectively.

${x × 15}/100 = {y × 9}/100$

$x/y = 9/15 = 3/5$

C.P. of first fan = $3/8 × 2160$ = Rs.810

& C.P. of second fan = $5/8 × 2160$ = Rs.1350

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