A man buys 8 pens for Rs 9 and sells 9 pens for Rs 8, Find profit or loss%?

A). 20%
B). 21%
C). 22%
D). 23%

Posted by: varsha kumari Created at: Feb 23, 2025 Last updated: Mar 01, 2025

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Answers 2

By LCM method

take LCM of $8$ and $9$ that will be $72$

CP of $72$ pens will be $81$ Rs

SP of $72$ Pens will be $64$ Rs

Clearly there is loss which will be equal to $81 - 64 = 17$ Rs

Loss $% = \frac{17}{81} \times 100 = 20.98$ or $21%$

Posted by: chanderdeep yadav Created at: Feb 23, 2025 Last updated: Mar 01, 2025

The man buys 8 pens for Rs 9. So, the cost price per pen is:

C.P. per pen = \frac{9}{8}

The man sells 9 pens for Rs 8. So, the selling price per pen is:

S.P. per pen = \frac{8}{9}

Loss per pen:

Loss = C.P. per pen - S.P. per pen

Substituting values:

\frac{9}{8} - \frac{8}{9}

Taking LCM of 8 and 9:

\frac{(9 \times 9) - (8 \times 8)}{72} = \frac{81 - 64}{72} = \frac{17}{72}

Loss percentage:

Loss \% = (\frac{Loss}{C.P. per pen}) \times 100

Substituting values:

(\frac{17}{72} \times \frac{8}{9}) \times 100

= (\frac{136}{648}) \times 100

= \frac{13600}{648}

\approx 20.99 % \approx 21 %

Thus, the correct answer is: 21% Loss

Posted by: Mohit Bhardwaj Created at: Feb 28, 2025 Last updated: Feb 28, 2025