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CUET · MATHS · PYQ PAPER 2025

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 :

  1. A Rs. 148
  2. B Rs. 156
  3. C Rs. 174
  4. D Rs. 166
Verified Solution

Answer & Solution

Correct Answer

(D) Rs. 166

Step-by-step Solution

Detailed explanation

\( (1 \times 127) + (1 \times 135) + (3 \times P_C) = (1+1+3) \times 152 \) \( 127 + 135 + 3P_C = 5 \times 152 \) \( 262 + 3P_C = 760 \) \( 3P_C = 760 - 262 \) \( 3P_C = 498 \) \( P_C = 166 \)