By selling a watch for Rs.144, a man losses 10%. At what price should he sell it in order to gain 15%?
- Rs.184
- Rs.154
- Rs. 174
- Rs.164
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
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