Question : A person purchased ten boxes of grapes for INR 2,000 per box. Each box contained 20 kgs of grapes. He sold each box at the rate of INR 2,500 per box. But on the whole, 10 kgs of grapes were damaged. Further, he paid INR 1,000 as transport charges. Find his gain or loss.
Option 1: Gain INR 2,050
Option 2: Loss INR 1,000
Option 3: Gain INR 2,750
Option 4: Loss INR 1,500
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Correct Answer: Gain INR 2,750
Solution :
According to the question,
A person purchases 1 box of grapes at = INR 2,000
Person purchases 10 box of grapes at = INR 2,000$\times$10 = INR 20,000
Total investment of person = 20,000 + 1,000 = INR 21,000
Each box contains = 20 kg of grapes
10 box contains = 20$\times$10 = 200 kg
The person sold each box at a rate = INR 2,500
Person sold 1 kg grapes at rate = $\frac{2,500}{20}$ = INR 125
Grapes damaged = 10 kg
Remaining good grapes = 200 – 10 = 190 kg
So, the person sold 190 kg grapes of = 190$\times$125 = INR 23,750
$\therefore$ Gain = Selling Price – Investment = 23,750 – 21,000 = INR 2,750
Hence, the correct answer is 'Gain INR 2,750'.
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