Question

Barolo, the king of wines mixes two varieties of wine with a third variety in the ratio 1 ∶ 1 ∶ 2. The cost of first two varieties are of worth Rs. 126 per liters and Rs. 135 per liters and the cost of the resulting mixture is worth Rs. 153 per liters. Find the price that Barolo set for the third variety of wine per liters?
1. Rs. 175.50
2. Rs. 180
3. Rs. 170
4. Rs. 169.50

Answer 1

Correct Answer - Option 1 : Rs. 175.50

Given∶ 

Given ratio =  1  ∶ 1  ∶ 2

Cost 

of first two varieties worth Rs. 126 per liters and Rs. 135 per liters.

Cost of the resulting mixture is worth Rs. 153 per liters.

Formula Used∶

 

Basics of ratios.

Calculation∶

Let the cost per liters third variety of wine be x.

⇒ [126 × 1 + 135 × 1 + 2 × x] / (1 + 1 + 2) = 153

⇒ 126 + 135 + 2x/4 = 153

⇒ 261 + 2x = 4 × 153

⇒ 2x = 612 - 261

⇒ x = 351/2 = 175.50

∴ The cost of the third wine per liters is Rs. 175.50.