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A person purchases $20$ litres of juice at $Rs . 2.20$ per litre and diluted it with water to make the contents $22$ litres. In order to earn $10 %$ profit he should sell the juice at

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Rs . 2.20

Rs . 2.00

Rs . 2.35

Rs . 2.40

answer is A.

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Detailed Solution

Given that a person purchases

20

litres of juice at

Rs . 2.20

per litre and diluted it with water to make the contents

22

litres.
Then,
Volume of juice purchased

= 20

litres
Rate at which juice purchased

= Rs . 2.20

per litre
Cost price of juice

= 20 \times 2.2

\Rightarrow

Cost price of juice

= Rs . 44

In order to gain

10 %

profit, Selling price

= \frac{100 + Profit %}{100} \times Cost Price

\Rightarrow

Selling price

= \frac{110}{100} \times 44

\Rightarrow

Selling price

= Rs . 48.4

Final volume of juice after dilution

= 22

litres.
Rate of selling =

\frac{Selling Price}{Final volume}

\Rightarrow

Rate of selling

= \frac{48.4}{22}

\Rightarrow

Rate of selling

= Rs . 2.20

Thus, he should sell it at the rate of Rs. 2.20.
Therefore, the correct option is 1.

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