The cost of 2 mangoes, 1 coconut and 2 bananas is Rs 71, while the cost of 5 mangoes, 3 coconuts and 4 bananas is Rs 182. What is the cost of 1 mango and 1 coconut?

Correct option is B

Given:

1. The cost of 2 mangoes, 1 coconut, and 2 bananas is Rs. 71:
   2M + 1C + 2B = 71
2. The cost of 5 mangoes, 3 coconuts, and 4 bananas is Rs. 182:
   5M + 3C + 4B = 182
3. We need to find the cost of 1 mango and 1 coconut (M + C).

Solution:

We will eliminate B (cost of bananas) to find M + C.

Step 1: Express the equations:

1. From the first equation:
   2M + 1C + 2B = 71
2. From the second equation:
   5M + 3C + 4B = 182

Step 2: Eliminate B:

1. Multiply the first equation by 2 to match the banana term in the second equation:
   4M + 2C + 4B = 142
2. Subtract this equation from the second equation:
   (5M + 3C + 4B) - (4M + 2C + 4B) = 182 - 142

Simplify:
M + C = 40

Final Answer:

The cost of 1 mango and 1 coconut is Rs. 40.
Correct Option: (b) Rs. 40.