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Question
Ashima sold two coolers for Rs 3,990 each. On selling one cooler she gained 5% and on selling the other she suffered a loss of 5%. Find her overall gain or loss % in whole transaction.
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Solution
Selling price of each cooler = ₹ 3990
Let ₹ x be the cost price of both coolers for Ashima.
If Ashima gets 5% gain on transaction of first cooler.
Then, `3990 = x + x xx 5/100` ...[∵ Profit = SP – CP]
⇒ `3990 = (21x)/20`
⇒ `x = (3990 xx 20)/21`
= 190 × 20
= ₹ 3800
Also, on the another transaction of other cooler she has a loss of 5%.
Then, `3990 = x - (x xx 5)/100` ...[∵ Loss = CP – SP]
⇒ `3990 = (19x)/20`
⇒ `x = (3990 xx 20)/19`
= 210 × 20
= ₹ 4200
So, the total cost price for Ashima = ₹ 3800 + ₹ 4200 = ₹ 8000
Ashima sold both coolers = ₹ 3990 × 2 = ₹ 7980
Here, CP > SP.
So, Ashima has loss on overall transaction.
∵ Loss = ₹ 8000 – ₹ 7980 = ₹ 20
∵ Loss % = `20/8000 xx 100`
= `2000/8000`
= `1/4%`
= 0.25%
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