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Q.

By selling 45 lemons for Rs. 40. A man loses 20% .How many should he sell for Rs. 24 to gain 20% in the transaction.

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a

25

b

12

c

18

d

21

answer is C.

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Detailed Solution

Concept- Now we will use the formula of cost price and selling price with gain and loss percentage to solve this given problem . make sure that percentage of gain should be added to 100 whereas the percentage of loss is subtracted from 100.
Selling price of Rs. 45 is Rs.40 .
He losses 26% .Now we will find the C.P. of 45 lemons by this formula :

C . P . = \frac{S . P \times 100}{100 - LOSS %}

C . P = \frac{45 \times 100}{100 - 20} = \frac{45 \times 100}{80} = 50

Cost price of 45 lemons = Rs. 50
Now S.P of 45 lemons with 20% gain

S . P . = \frac{C . P \times (100 + gain %)}{100}

S . P . = \frac{50 \times (100 + 20)}{200} = \frac{50 + 120}{100} = 60

Selling price of 45 lemon with 20% Rs. 60.

Now S . P . 1 lemon = \frac{60}{45} = \frac{4}{3}

Let the no. of lemon be x
Now no.of lemon he sells at

24 = \frac{4}{3} \times x = 24

x = 24 \times \frac{3}{4}

x = 18

Hence, the correct option is 1.

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