Q17 of 35 Page 175

Hasimabibi sold each of two handloom factories at Rs. 1248. She makes a profit of 4% for the first, but makes a loss of 4% for the 2nd. What is her overall profit or loss?

Formula used.


Loss/profit percent = × 100%


Selling price of each handloom = Rs. 1248


In case of 1st 4% profit is made


Let the cost price of handloom be X


Profit = Selling price – Cost price


= 1248 – X


Loss/profit percent = × 100%


4% = × 100%


4X = 124800 – 100X


100X+4X = 124800


104X = 124800


X= = 1200


Profit = 1248 – 1200 = Rs. 48


In case of 2nd 4% loss is made


Let the cost price of handloom be Y


Loss = Cost price – Selling price


= X – 1248


Loss/profit percent = × 100%


4% = × 100%


4X = 100X - 124800


100X – 4X = 124800


96X = 124800


X= = 1300


Loss = 1300 - 1248 = Rs. 52


Overall = Rs. 48 – Rs52 = – Rs. 4


∴ Overall loss of Rs. 4


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