Question

Naresh sold two books for $Rs.600$ each, thereby gaining $20\%$ on one book and losing $20\%$ on the other book. Find his overall loss or gain percent.

Answer 1

Naresh sold two books for Rs 600.

$\to$ selling price of the book = 600

profit = 20%

$\to$ cost price $=\frac{100\times S.P}{(100+profit)}=\frac{100\times 600}{100+20}=500Rs$

$\to$ selling price of the second book = 600

loss = 20 %

$\to$ cost price $=\frac{100\times S.P}{100-loss}=\frac{100\times 600}{100-20}=750Rs$

$\to$ total cost price of two books = 500+750

$=1250Rs.$

$\to$ total selling price of two books = 600+600

= 1200 Rs

$\to$ here, selling price is less than cost price so

loss.

Loss = C.P. - S.P.

= 1250-1200

= 50 Rs.

$\to$ loss percentage $=\frac{Loss}{C.P}\times 100=\frac{50}{1250}\times 100$

$=4\%$