A loss of $ 10\frac12$ % gets converted into a profit of $ 11\frac35$ % when the selling price is increased by Rs 132.60. The cost price (in Rs) of the article is :

Solution:

Let the Cost Price (CP) = 100a

First case: SP = CP- CP x Loss%
SP= $ 100a – 100a \times 10\frac12$% = 89.5a

Second Case: SP=CP+ CP x Profit%
SP= $ 100a + 100a\times 11\frac35$% = 111.6a

The difference in SP are 132.6
111.6a – 89.5a = 132.6
22.1a = 132.6
a= 6

Cost price = 100a = 100×6=600

Ans : Rs 600