Subject
Quantitative Aptitude
Topic
Profit & Loss
Two kinds of rice are sold at same price in which 10% is gained on one kind and 10% is lost on the other. If they be mixed equally and sold at the same price, what percentage will be gained or lost?
Two kinds of rice are sold at same price in which 10% is gained on one kind and 10% is lost on the other. If they be mixed equally and sold at the same price, what percentage will be gained or lost?
ক)
2% lossখ)
1% lossগ)
0.5% gainঘ)
0.8% lossঙ)
1% gainExplanation
Let’s assume the cost price of first kind of rice be Rs. x/kg And, the cost price of second kind of rice be Rs. y/kg According to the given information, Selling price of first kind of rice = x + (10% of x) = 1.1x Selling price of second kind of rice = y – (10% of y) = 0.9y ∵ Selling price of both rices are same ⇒ 1.1x = 0.9y ⇒ x = (9y/11) ∵ Both kind of rices are mixed in equal proportion, ⇒ Cost price of the mixture per kg = Rs. (x + y)/2 ⇒ Cost price of the mixture ∵ the mixture is sold at the same price as before, Selling price of mixture per kg = 0.9y As we can see by comparison that selling price < Cost price ∴ loss will be incurred in this transaction. We know that, % Loss ∴% Loss ⇒ % loss = 1 ∴ There was a loss of 1%Related questions
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