Question
A grocer mixes two varieties of wheat and sells the
mixture at 28 per kg to earn a profit of 25%. If the cost price of the first variety is twice that of the second, and he has mixed them in the ratio 2:3, then find the price per kg of the cheaper variety.Solution
Let the price of variety 2 be x. Then, the price of variety 1 is 2x. Selling price = 125% Ă— cost price Cost price of mixture = 28 Ă— (100/125) = Rs. 28 Ă— (4/5) Cost price of variety 1 + cost price of variety 2 = 2x Ă— (2/5) + x Ă— (3/5)Â => 2x Ă— (2/5) + x Ă— (3/5) = 28 Ă— (4/5) => 7x/5 = 28 Ă— 4/5 => x = Rs.16
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