Question

Rahul sold a watch to Sohan at a gain of 10% and Sohan sold it to Mohan at a loss of 10% If Mohan paid rupees 990 for it find the price paid by Rahul

Answer 1

Let the cost price be x

Rahul Sold Watch to ssohan at 10% profit=

selling price = cost Price + cost Price ×Profit percentage

= x + 10%of x = x + 0.1x = 1.1x

Sohan Sold the same Watch to mohan at 10% loss

1.1x - 10%(1.1x) = 1.1 x - 0.011x = 1.089x

Sales price = 990

1.089x = 990

x = 990/1.089

x = 909 is the cost price