Q. 174.0( 22 Votes )
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?
Answer :
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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