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# In what ratio must a grocer mix two varieties of tea worth Rs 60 per kg and Rs 65 per kg so that by selling the mixture at Rs 68.20 a kg he may gain 10%?A. $3:2$B. $3:4$C. $3:5$D. $4:5$

Last updated date: 21st Mar 2023
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Hint: Here Percentage gain means to express the profit or the gain in the form of percentages. And remind that the price paid by the retailer for the goods that he is going to sell is called the cost price and the price at which he is selling that goods to the consumers is called the selling price.

We know that cost price $CP = \dfrac{{SP \times 100}}{{100 + Gain\% }}$
$CP = \dfrac{{68.20 \times 100}}{{100 + 10}} \\ \\ CP = \dfrac{{6820}}{{110}} \\ \\ \therefore CP = Rs{\text{ }}62 \\$
So, the mean price $= \dfrac{{60 + 65}}{2} = 62.50 \cong R{\text{s 62}}$
Therefore, the required ratio is $3:2$
Thus, the correct option is A. $3:2$.