Question

Hari bought two fans for rupees 2400 each . He sold one at a loss of 10 percentage and the other at q profit of 15 percentage. Find the selling price of each fan and find also the total profit or loss

Answer 1

Step-by-step explanation:

Loss of 10% :

$\implies$ $\sf{SP={\Large\frac{100-L\%}{100}}×CP }$

$\implies$ $\sf{SP={\Large\frac{100-10}{100}}×2400 }$

$\implies$ $\sf{SP={\Large\frac{90}{100}}×2400 }$

$\implies$ $\boxed{\sf{SP=2160} }$

Profit of 15% :

$\implies$ $\sf{SP={\Large\frac{100+P\%}{100}}×CP }$

$\implies$ $\sf{SP={\Large\frac{100+15}{100}}×2400 }$

$\implies$ $\sf{SP={\Large\frac{115}{100}}×2400 }$

$\implies$ $\boxed{\sf{SP=2760} }$

$\bf{Total\:CP=2400+2400=4800 }$

$\bf{Total\:SP=2160+2760=4920 }$

Profit :

$\implies$ $\sf{P=SP-CP }$

$\implies$ $\sf{ P=4920-4800}$

$\implies$ $\sf{P=120 }$

Profit % :

$\implies$ $\sf{P\%={\Large\frac{P}{CP}}×100 }$

$\implies$ $\sf{P\%={\Large\frac{120}{4800}}×100 }$

$\implies$ $\boxed{\sf{Profit\%=2.5\%} }$

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