Hari bought $20$ kg of rice at $R s 18$ per kg and $25$ kg of rice at $R s 16$ per kg. He mixed the two varieties and sold the mixture at $R s 19$ per kg. Find his gain percent in the whole transaction.

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Solution

According to the question, we have
Cost for $20$ kg of rice @ $R s . 18$ per kg $= 20 \times 18 = R s . 360$
Cost for $25$ kg of rice @ $R s . 16$ per kg $= 25 \times 16 = R s . 400$
Total CP $= 360 + 400 = R s . 760$
Also, total quantity of rice $= 20 + 25 = 45$ kg
Selling price of rice $= R s . 19$ per kg
$∴$ SP $= 45 \times 19 = R s . 855$
Since SP $>$ CP, there is a gain.
Now, Gain $= 855 - 760 = R s . 95$
Gain $% = \frac{G a i n}{C P} \times 100 %$
$= \frac{95}{760} \times 100 % = \frac{25}{2}$
$= 12 \frac{1}{2} %$

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