The average cost of an apple, an orange and a mango is Rs.36. The average cost of an apple and an orange is Rs.28 and that of an orange and a mango is Rs.32. The cost of an orange (in Rs.) is:
Show answer & explanation
Correct answer: D
Explanation
The correct answer is Option 4 i.e. 12.
We know that,
Average = Sum of observations/Number of observations
Now,
The average cost of an apple, an orange, and a mango = Rs.36
Total cost = 36 × 3 = 108
⇒ A + O + M = 108 ...(1)
The average cost of an apple and an orange = Rs.28
Total cost = 28 × 2 = 56
⇒ A + O = 56 ....(2)
The average cost of an orange and a mango = Rs.32
Total cost = 32 × 2 = 64
⇒ O + M = 64 ...(3)
From equation 1 and 2
56 + M= 108
M = 52
Put the value of M in equation 3
O = 64 - 52 = 12