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A variety of wheat costing Rs. 27/kg is mixed with another variety in the ratio of 2 ∶ 3. If the mixture is sold at Rs. 24/kg making a loss of 20% then what is the cost of 2nd variety of wheat?

A variety of wheat costing Rs. 27/kg is mixed with another variety in the ratio of 2 ∶ 3. If the mixture is sold at Rs. 24/kg making a loss of 20% then what is the cost of 2nd variety of wheat? Correct Answer Rs. 32/ kg

Given:

A variety of wheat cost = Rs. 27/kg

Ratio of both the variety = 2 ∶ 3

The mixture is sold at = Rs. 24/kg

Calculations:

C.P of wheat = (100/80) × 24 = 30/kg

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⇒ (x – 30)/ (30 – 27) = 2/3

⇒ 3(x – 30) = 2(30 – 27)

⇒ 3x – 90 = 6

⇒ x = 96/3 = 32

∴ the cost of 2nd variety is 32/kg

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