Question

${}^{\prime }{X}^{\prime }$ sells fruits at $21\%$ profit. If $X$ bought it for $9\%$ less and sold it for Rs.$29$ less, he would have gained $25\%$.Find the cost price of fruits?

Answer 1

Let the C.P of the fruit be C.P

from the given data, after analysis it can be solved as

$\Rightarrow$ (12% of C.P)-(125% of 91% of C.P)=29

$\Rightarrow \frac{121}{100}$ of $C.P-\frac{125}{100}\times \frac{91}{100}$ of $CP=29$

$\Rightarrow (\frac{121}{100}-\frac{125\times 91}{10000})\times C.P=29$

$\Rightarrow (12100-125\times 91)CP=290000$

$\Rightarrow (12100-11375)C.P=290000$

$\Rightarrow 725C.P=290000\Rightarrow C.P=\frac{290000}{725}=Rs400$

Hence C.P of the fruits = Rs 400.