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

Question : 6 [SSC CGL Prelim 2002]

A shopkeeper sells two T.V. sets at the same price. There is a gain of 20% on one TV and a loss of 20% on the other. State which of the following statement is correct :

a) The shopkeeper loses by 4%

b) The shopkeeper gains by 4%

c) The shopkeeper loses by 2%

d) The shopkeeper makes no net gain or profit

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 $x^2/100%$

If a man sells two articles at same price and makes a profit of x% on first and x% loss on second, there is always a loss of $x^2/100%$

Loss% = $(20)^2/100 = 100/400$ = 4%

Question : 7 [SSC CGL Prelim 1999]

A person sells two machines at Rs.396 each. On one he gains 10% and on the other he loses 10%. His profit or loss in the whole transaction is :

a) 8% profit

b) 1% profit

c) 1% loss

d) no gain no loss

Answer: (c)

Using Rule 10,

Here, the S.P. is same for both the machines. Hence, there will be always a loss in this situation. Required loss %

= ${10 × 10}/100$ = 1%

Question : 8 [SSC CGL Prelim 2005]

A man sells two pipes at Rs.12 each. He gains 20% on one and loses 20% on the other. In the whole transaction, there is

a) Profit of Rs.2

b) loss of Rs.1

c) profit of Rs.1

d) neither loss nor gain

Answer: (b)

Using Rule 10,

Required loss% = $(20)^2/100 = 100/400$ = 4%

Since, (100 - 4)% ≡ 24

4% ≡ $24/96 × 4$ = Loss of Rs.1

Question : 9 [SSC CHSL 2011]

Some toffees were bought at the rate of 11 for Rs.10 and the same number at the rate of 9 for Rs.10. If the whole lot was sold at one rupee per toffee, then the gain or loss in the whole transaction was

a) gain of 1.5%

b) neither gain nor loss

c) gain of 1%

d) loss of 1%

Answer: (d)

For the sake of convenience, Let the number of toffees of each type bought be 99 (LCM 11 and 9).

CP of first kind of 99 toffees = Rs.90

CP of second kind of 99 toffees = Rs.110

CP of 198 toffees = Rs.200

SP of 198 toffees = Rs.198

Loss = Rs.2 ⇒ Loss % = $2/200 × 100$ = 1%

Question : 10 [SSC CGL Prelim 2002]

A man sells two articles at Rs.99 each. On one he gains 10% and on the other he loses 10%. What is his gain or loss per cent on the whole transaction ?

a) Profit, 1.5%

b) Profit, 1%

c) Loss, 1.5%

d) Loss, 1%

Answer: (d)

Using Rule 10,

Loss % = x% of x or $x^2/100$

Here, x = 10

Loss% = ${10 × 10}/100$ = 1%

IMPORTANT quantitative aptitude EXERCISES

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