A grocer purchased 80 kg sugar at Rs. 13.50 per kg and mixed it with 120 kg sugar at Rs .16 per kg. At what rate should he sell the mixture (per kg) to gain 16%?

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Rs . 15.50

Rs . 19.18

Rs . 17.40

Rs . 18.06

answer is C.

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Detailed Solution

Concept: 80 kg of sugar were purchased at a price of Rs. 13.50 per kg (given in the question) . Using this, we determine that 80 kg of sugar will cost Rs. 13.50. Following that, 120 kg of sugar is brought in at a price of 16 per kg (this is also given in the question) . We recalculate the price of sugar. The overall cost of sugar as well as the total weight of sugar are then determined. Finally, we arrive at a profit of 16 percent utilizing both figures.
He purchased 80 kg of sugar for Rs. 13.50 per kg.
The cost of the sugar is 80 rupees divided by 13.5, which is the price per kilogramme that he brought.
At a cost of Rs. 13.50 per kg, sugar costs Rs.

1080 .

Now, 120 kg of sugar, which he purchased for Rs. 16 per kg.
He paid Rs. 16 per kg for the sugar, making the cost price of sugar

12016 .

At a cost of 16 rupees per kilogramme, sugar cost

s Rs 1920 .

Next, determine the overall cost of sugar:
Sugar costs a total of Rs.

3000 (1920 + 1080) .

The total weight of sugar is now 200 kg (80 + 120) .

The selling price of sugar is: in order to make a profit of 16% on it.

= \frac{116}{100} \times 3000 = Selling price .

Rs. 3480 is the selling price.

Currently, the selling price per kilogramme of sugar is

\frac{3480}{200}

Sugar costs Rs. 17.40 per kilogram to sell.
As a result, sugar is sold for Rs. 17.40 per kg.
Hence, the correct option is 3) Rs.17.40kg
ExamType: CBSE

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