By selling a watch for Rs.144, a man losses 10%. At what price should he sell it in order to gain 15%?

By selling a watch for Rs.144, a man losses 10%. At what price should he sell it in order to gain 15%?

Explanation

The man sells the watch for Rs. 144 and loses 10%, which means the cost price (CP) is more than the selling price (SP). Let's find the CP:

CP = SP / (1 - Loss%)

= 144 / (1 - 0.10)

= 144 / 0.90

= Rs. 160

Now, the man wants to gain 15% on the CP. Let's find the new selling price (SP'):

SP' = CP x (1 + Gain%)

= 160 x (1 + 0.15)

= 160 x 1.15

= Rs. 184

So, the correct answer is: Rs. 184