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

Question : 1 [SSC CGL Tier-1 2011]

A trader bought two horses for Rs.19,500. He sold one at a loss of 20% and the other at a profit of 15%. If the selling price of each horse is the same, then their cost price are respectively.

a) Rs.10,500 and Rs.9,000

b) Rs.12,000 and Rs.7,500

c) Rs.11,500 and Rs.8,000

d) Rs.10,000 and Rs.9,500

Answer: (c)

The sum of cost prices of two articles is x. One of them is sold at a loss of a% and other is sold at a gain of b% and their S.P. is same.

C.P. of article sold at a loss of a%

= ${100 + b}/{200 -a + b} × x$

= ${100 + 15}/{200 - 20 + 15}$ × 19500

= $115/195$ × 19500 = Rs.11500

C.P. of second article = Rs.8000

Question : 2 [SSC MTS 2011]

A cloth merchant sold half of his cloth at 40% profit, half of remaining at 40% loss and the rest was sold at the cost price. In the total transaction his gain or loss will be

a) 15% loss

b) 10% gain

c) 25% loss

d) 20% gain

Answer: (b)

Let the merchant bought 100 metres of cloth for Rs.100.

Total S.P. = Rs.$({50 × 140}/100 + {25 × 60}/100 + 25)$

=Rs.(70 + 15 + 25) = Rs.110

Gain per cent = 10%

Question : 3 [SSC CGL Prelim 2007]

A car and a jeep were sold for Rs.121000 each. The car was sold at a loss of 20% while the jeep at a gain of 20%. The entire transaction resulted in

a) gain of Rs.500

b) loss of Rs.10000

c) gain of Rs.1000

d) neither loss nor gain

Answer: (b)

Total SP = Rs.240000

CP of car = Rs.$(100/80 × 120000)$ = Rs.150000

CP of jeep = Rs.$(100/120 × 120000)$ = Rs.100000

Total CP = Rs.250000

Loss = Rs.(250000 - 240000) = Rs.10000

Question : 4 [SSC CPO S.I.2003]

Kewal sells two tape recorders at the same price. On one, he gains 10% and on the other he loses 10%. The total gain or loss in the transaction is

a) 2% loss

b) No loss or gain

c) 1% loss

d) 1% gain

Answer: (c)

Using Rule 10,

Note : When S.P. of each of two items is same, on one of them there is x% loss and on the other there is x% gain, then there isalways a loss given by (x% of x)% = $x^2/100%$

The required loss % = ${10 × 10}/100$ = 1 %

Question : 5 [SSC CPO S.I.2005]

Two bicycles were sold for Rs.3990 each, gaining 5% on one and losing 5% on other. The gain or loss per cent on the whole transaction is :

a) 0.25% loss

b) 2.5% loss

c) 2.5% gain

d) neither gain nor loss

Answer: (a)

Using Rule 10,

In such a situation, there is always a loss.

The selling price is immaterial. Loss %

= $(\text"Common loss or gain%"/10)^2 = (5/10)^2$% = 0.25%

IMPORTANT quantitative aptitude EXERCISES

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