A shopkeeper mixes 140 kg of P type of rice with 35 kg of Q type of rice. He then sold one – fifth of this mixture. In the remaining mixture he again mixes P and Q type of rice in the ratio 2 : 3. Now the ratio of quantity of P type of rice to that of Q type of rice in the final mixture is 3 : 1. Find that how much quantity of Q type of rice was added in the mixture?
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A.
8 kg
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B.
12 kg
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C.
10 kg
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D.
16 kg
Correct Answer:
B. 12 kg
Explanation:
Initially, the mixture contains 140 kg of P-type and 35 kg of Q-type rice. After one-fifth is sold, the remaining 112 kg of P and 28 kg of Q are combined with new rice in a 2:3 ratio. By representing the added amounts as 2x and 3x, the final ratio equation becomes (112 + 2x) / (28 + 3x) = 3/1. Solving this yields x = 4, meaning 12 kg of Q-type rice was added to the mixture.
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