Question

Rahul sold a watch to sohan at a gain of 10% And sohan sold it to Mohan at a lost of 10% If Mohan paid ₹990 .How many paid by Rahul?​

Answer 1

Question :-

Rahul sold a watch to sohan at a gain of 10% And sohan sold it to Mohan at a lost of 10% If Mohan paid ₹990. How many money paid by Rahul.

To Find :-

CP of the watch .

Answer :-

Let the CP of the watch be ₹ n

Given :

CP for Mohan = ₹990

Gain for Rahul = 10%

Loss for Sohan = 10%

According to question,

n(1+10%)(1-10%) = ₹990

=> n(1+10/100)(1-10/100) = ₹990

=> n(110/100)(90/100) = ₹990

=> n × 1.1 × 0.9 = ₹990

=> 0.99n = ₹990

=> n = ₹990/0.99

=> n = ₹990 × 100 / 99

=> n = ₹1000

Therefore, Cost Price of the Watch = ₹n = ₹1000.