model 8 two article sold in different rates Section-Wise Topic Notes With Detailed Explanation And Example Questions

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The following question based on profit & loss topic of quantitative aptitude

Questions : 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

The correct answers to the above question in:

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

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Read more 2 articles sold in diff rates Based Quantitative Aptitude Questions and Answers

Question : 1

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 : 2

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%

Question : 3

A man sells two chairs at Rs.120 each and by doing so gains 25% on one chair and loses 25% on the other. His loss on the whole in Rs. is

a) 30

b) 25

c) 16

d) 20

Answer: (c)

C.P. of first chair = $100/125 × 120$ = Rs.96

C.P. of second chair = $100/75 × 120$ = Rs.160

∴ Loss = 160 + 96 - 240 = Rs.16

Question : 4

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 : 5

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 : 6

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%

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