Profit Loss & Percentage - 1

A person sold a table at a gain of 15 %. Had he bought for 25% less and sold it for Rs. 80 less, then he would have made a profit of 32%. Find the Cost Price of Table ?

Let the CP be x.
So his SP is at 15% profit means , S.P. = 1.15x
If CP was 25% less, it says if CP was 0.75x, and the SP was Rs 80 less, means if the SP was 1.15x-80 , then the Profit % would have been 32%
Profit% = ( SP - CP ) /  CP = (1.15x-80 - 0.75x) / 0.75x = 32 /100
=>  0.4x - 80 = 0.32 * 0.75x
=>  0.4x - 80 =  0.24x
or 0.4x - 0.24x = 80
      0.16x = 80
Thus we get x= 80 / 0.16 =  500

Hence the Cost Price of the table is Rs 500