Question

8. A man sold a book at a loss of 20%. If he had sold the book for 12 more, he would have gained 10%
Find the cost price of the book.​

Answer 1

Answer:

Cost Price of the book is R.40

Explanation:

Assume the cost of article is x

The person sold at 20% loss

he person sold at 20% loss

Loss % = C.P−S.P/C.P

= x−S.P/x

= 20/100

∴ S.P =0.8x

∴ S.P =0.8x

If he had sold it for Rs. 12 more, then he would have gained 10%.

Gain %= S.P−C.P/C.P

= (0.8x+12)−x/x

=10/100

∴12−0.2x=0.1x

∴12−0.2x=0.1x∴12=0.3x

∴12−0.2x=0.1x∴12=0.3x∴x=40

/ stands for ÷

Hope it helps

Answer 2

Answer:

Rs. 40

Explanation:

Assume the cost of article is x

the person sold at 20% loss

Loss % =C.PC.P−S.P​=xx−S.P​=10020​

∴ S.P =0.8 x

If he had sold it for Rs. 12 more, then he would have gained 10%.

Gain % =C.PS.P−C.P​=x(0.8x+12)−x​=10010​

∴12−0.2x=0.1x

∴12=0.3x

∴x=40