14 A grocer buys 160 kg of rice at * 27 per kg and mixes it with 240 kg of rice available at 32 per kg. At what rate per kg should he sell the mixture to gain 20% on the whole? any one can do this sum in ALLIGATION method
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Answer:
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Explanation :
Let’s calculate the total cost of the mixture for the grocer.
He has rice which costs Rs 27 for 1 kg. So how much will be the cost for 160 kg?
It will be 160 times Rs 27, which is 160 x 27 = Rs 4320.
The other rice is Rs 32 for 1 kg. He has 240 kg of that. So the cost will be 240 x 32 = Rs 7680.
So the total cost of the mixture is Rs 4320 + Rs 7680 = Rs 12000.
He needs to earn 20% of Rs 12000, which is 20/100 x 12000 = Rs 2400.
So the total price he should sell it is Rs 12000 + Rs 2400 = Rs 14400.
How much rice does he have? 160 kg + 240 kg = 400 kg.
So he sells 400 kg for Rs 14400.
His selling price is Rs 14400 per 400 kg, which is Rs 14400/400kg
= Rs 36/kg
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