A man sells a dog at a gain of $15 %$ . Had he sold it for $₹ 490$ less, he would have lost $5 %$ . Find the cost price of the dog.

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Solution

Let the CP of Dog be $₹ x$
SP when gain is $15 %$ $= \frac{(100 + 15)}{100} \times x$
$= 1.15 x$
According to question
when he had sold it for $₹ 490$ less then he would lost $5 %$
$S P w h e n 5 % l o s s S P = \frac{(100 - 5)}{100} \times x S P = 0.95 x D i f f e r e n c e o f b o t h S P 1.15 x - 0.95 x = 490 0.20 x = 490 x = \frac{490}{0.20} x = ₹ 2450$
Hence CP will be $₹ 2450$

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A man sells a dog at a gain of 15%. Had he sold it for ₹490 less, he would have lost 5%. Find the cost price of the dog.

Let the CP of Dog be ₹xSP when gain is 15%=(100+15)100×x =1.15xAccording to questionwhen he had sold it for ₹490 less then he would lost 5%SPwhen5%lossSP=(100-5)100×xSP=0.95xDifferenceofbothSP1.15x-0.95x=4900.20x=490x=4900.20x=₹2450Hence CP will be ₹2450

A man sells a dog at a gain of $15 %$ . Had he sold it for $₹ 490$ less, he would have lost $5 %$ . Find the cost price of the dog.