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Three varieties A, B and C of rice are mixed together in the ratio 1:1:3 respectively. The price of rice A is Rs 127 per kg and that of rice B is Rs 135 per kg. If the price of the mixture is Rs. 152 per kg, then the price per kg of rice of type C is:

Solution

✅ Correct Option: 4

The ratio of rice varieties A, B, and C is 1:1:3.

This means:

  • Rice A = 1 kg
  • Rice B = 1 kg
  • Rice C = 3 kg

Total weight = 1 + 1 + 3 = 5 kg


Let the price of Rice C = xx per kg

Total cost of the mixture:

  • Cost of Rice A = 1 × 127 = Rs 127
  • Cost of Rice B = 1 × 135 = Rs 135
  • Cost of Rice C = 3 × xx = Rs 3x3x

Total cost = 127 + 135 + 3x3x

Total cost = 262 + 3x3x


The price of the mixture is Rs 152 per kg.

152=262+3x5152 = \dfrac{262 + 3x}{5}

152×5=262+3x152 \times 5 = 262 + 3x

760=262+3x760 = 262 + 3x

760−262=3x760 - 262 = 3x

498=3x498 = 3x

x=4983x = \dfrac{498}{3}

x=166x = 166


Therefore, the price of rice C is Rs 166 per kg.

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