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By selling 90 ball pens for Rs. 160 a person loses 20 %. How many ball pens should be sold for Rs. 96 so as to have profit of 20 %?

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25%

13%

20%

56%

answer is A.

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Detailed Solution

Given,
Selling price (SP) of 90 ball pens =Rs.160.
Loss% = 20 %
The cost price (CP) is given by,

CP = SP 100 100 − loss % ⇒ 100 100 − 20 (160) ⇒ 1600080 ⇒ 200

Now, for profit%=20%,
Cost price is,

CP = SP 100 100 + profit % ⇒ 100 100 + 20 (96) ⇒ 9600120 ⇒ 80

Rs.200 is the CP of 90 ball pens.

⇒ 9080200 ⇒ 36

Thus, 36 ball pens should be sold at Rs.96 to earn a profit of 20%.
Therefore, option (1) is correct.

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