When the market price per kg of rice and wheat be in the ratio 3 ∶ 2. The monthly expenses of a family towards rice and wheat are in the ra… — Answer & Discussion

When the market price per kg of rice and wheat be in the ratio 3 ∶ 2. The monthly expenses of a family towards rice and wheat are in the ratio 5 ∶ 6. If the market price of rice and wheat becomes in the ratio of 4 ∶ 3, what will be the ratio of expenses toward them? (the amount of rice and wheat consumed remains unchanged)

A23 ∶ 27
B20 ∶ 26
C22 ∶ 27
D20 ∶ 27

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Discussion 1

CCommunity03 Jun 2019

Let the market price per kg of rice and wheat is Rs. 3x and Rs. 2x respectively

Monthly expenses for rice and wheat is Rs. 5y and Rs. 6y respectively

Amount of rice = 5y/3x kg

Amount of wheat = 6y/2x kg

New price of rice and wheat is Rs. 4z and Rs. 3z respectively

So, required ratio = [(5y × 4z) /3x] ? [6y/2x × 3z] = 20/3 ? 18/2 = 20 ? 27

∴ Ratio of expense is 20 ? 27