A fruit seller sells frac{3}{5} th part of fruit at a profit of 10 % and remaining at a loss of 5 %

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7.Profit and Loss

hard

A fruit seller sells $\frac{3}{5}$ th part of fruit at a profit of $10 \%$ and remaining at a loss of $5 \% .$ If the total profit is $Rs.\, 1500$ then what is the total cost price of fruit in $Rs.$?

A

$37500$

B

$37000$

C

$36500$

D

$36000$

Solution

Let $C P$ of whole fruit $=R s .$ $A$

He sold $\frac{3}{5}$ th part at $10 \%$ profit and remaining $\frac{2}{5}$ th part at $5 \%$ loss Total profit $= Rs. 1500$

$1500=\left[\frac{3}{5} \times A \times \frac{10}{100}-\frac{2}{5} \times A \times \frac{5}{100}\right]$

On solving above equation we get:

Total $C P=A=R s .37,500$

Standard 13

Quantitative Aptitude

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