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A grocer mixes rice costing $6 per kg with rice costing $9 per kg in the ratio 2:3. At what price per kg should he sell the mixture to gain 25% profit?

GMAT · 2021 · Quantitative
Question:
A grocer mixes rice costing $6 per kg with rice costing $9 per kg in the ratio 2:3. At what price per kg should he sell the mixture to gain 25% profit?

Options

(A) $9.00
(B) $9.25
(C) $9.50
(D) $9.75
(E) $10.00
Answer: (D) $9.75

Explanation:
Cost per kg of mixture: (2×6 + 3×9)/(2+3) = (12 + 27)/5 = 39/5 = $7.80. For 25% profit: Selling price = 7.80 × 1.25 = $9.75.

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