Rabi uncle bought rice at Rs. 3000. He sold
part of rice at 20% loss and
part of rice at 25% profit. At what percentage profit, the remaining part of rice is to be sold to get overall 10% profit.
Overall all profit =
×Rs. 3000
= Rs. 300
Cost price of
part of rice =
= Rs. 1000
If he sells at 20% loss
Loss =
× Rs. 1000 = Rs. 200
Cost price of
part of rice =
= Rs. 1200
If he sells at 25% Profit
Profit =
× Rs. 1200 = Rs. Rs 300
Cost price of remaining part = Rs. [3000 – 1200 - 1000]
= Rs. 800
Let’s say he sells at X% profit
Profit =
× Rs. 800 = Rs. 8X
⇒ Overall all profit = Rs. 300 – Rs. 200 + Rs. 8X
Rs. 300 = Rs. 100 + Rs. 8X
8X = 200
X =
= 25%
∴ On remaining part 25% profit is to made for overall 10%.
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