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A shopkeeper mixes 80 kg sugar worth Rs. 6.75 per kg with 120 kg of sugar worth Rs. 8 per kg. He earns a profit of 20% by selling the mixture. He sells it at the rate of

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Rs. 7.50 per kg

Rs. 8.85 per kg

Rs. 9 per kg

Rs. 8.20 per kg

answer is B.

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Detailed Solution

Given that a shopkeeper mixes 80 kg sugar worth Rs. 6.75 per kg with 120 kg of sugar worth Rs. 8 per kg and earns a profit of 20% by selling the mixture.
Then,
Total cost

= 80 \times 6.75 + 120 \times 8

\Rightarrow

Total cost

= Rs . 1500

We know,
Profit =

\frac{100 + profit %}{100}

\Rightarrow

Profit =

\frac{100 + 20}{100}

\Rightarrow

Profit =Rs.

\frac{120}{100}

So,
Selling price

= C . P \times profit

\Rightarrow

Selling price

= 1500 \times \frac{120}{100}

\Rightarrow

Selling price

= Rs . 1800

So,
S.P. per kg

= \frac{1800}{200}

\Rightarrow

S.P. per kg = Rs.9
Thus, he sells it at the rate of Rs.9 per kg.
Therefore, the correct option is 2.

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