A grocer purchased 50 kg salt at the rate of Rs 8 per kg and mixed it with 70kg salt purchased at the rate of Rs 5 per kg. At what rate per kg must he sell the mixture to make a profit of 20%?

Grade: 9

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8.45 per kg

7.50 per kg

9.65 per kg

None of the above

answer is B.

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Detailed Solution

We know that ,
SP = CP + Profit
profit% = profit cost × 100
It is given that ,
A grocer purchased 50 kg salt at the rate of Rs 8 per kg and mixed it with 70kg salt purchased at the rate of Rs 5 per kg.
Here cost of 50 kg salt
=50 ×8= Rs 400
cost of the other 70 kg salt
=70× 5= Rs 350
Total cost = 400 + 350 = Rs. 750
desired profit = 20%
∴ profit=20÷100×750=150
   SP=CP+Profit
   Profit% =profit ÷ cost×100
   SP = CP + Profit
∴ SP of (50+70)kg Salt = 750 + 150 = Rs. 900
SP of 1 kg =
900÷120×(Total Sp ÷ Total quantity of salt)
SP of 1 kg Salt = Rs. 7.50
∴ To make a profit of 20% the salt should be sold for Rs. 7.50/kg.
So, option B)7.50 per kg is the correct answer.

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