Seema sells a pen to Sapna at a profit of 25 % . Sapna sells it to Asha at a profit of 10 % and Asha

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7.Profit and Loss

hard

Seema sells a pen to Sapna at a profit of $25 \% .$ Sapna sells it to Asha at a profit of $10 \%$ and Asha sells it to Kavita at a profit of $5 \%$. If Asha sells it for $Rs.\,231,$ find the cost price at which Seema bought the pen? (in $Rs.$)

A

$195$

B

$160$

C

$145$

D

$135$

Solution

Let $CP$ of pen for Seema be $Rs.\,100$

Seema $\underline{25 \%}$ Sapna $\underline{10 \%}$ Asha $\underline{5 \%}$ Kavita

$(100)$ $(125)$ $(137.5)$ $(144.375)$

Here, Asha sold her pen at $Rs.\,144.375$ if seema bought it at $Rs.\,100$ If Asha sold pen for Rs. $231,$ Seema bought it at

$=$ Rs. $\left[\frac{100}{144.375} \times 231\right]= Rs .160$

Standard 13

Quantitative Aptitude

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