Question

A sold an article to B at a loss of 20% and B sold it to C at a profit of 20%. If A had sold an article for the price C paid what would have been his loss or gain percent?​

Answer 1

Answer:

if A sold for the article the price c paid then we would have been loss 4%

Step-by-step explanation:

A sold an article to B at loss 20%

let A purches or cost price will x rupees

then B cost price = (100-20)/100 ×Cost price of a

= 80/100 x = 4/5x

so cost price of B = 4/5 x

same way b sold to C at profit 20 %

so C cost price = (100+20)/100 × cost price of B

= 120/100 × 4/5 x

= 6/5 × 4/5 x

= 24/25 x

so C paid rs 24/25 x

if A sold for the price C

so a's sell price equal to c cost price

then profit = ( sell price- cost price) = 24/25 x-x

= (24x- 25x)/25

=-x/25 ( profit is negetive so it is loss)

= x/25 loss

then loss %= loss/ costprice × 100 %

= x/25/x ×100%

= x/ 25 × 1/x ×100%

= 100/25%

= 4%

so his loss percent is 4%