Question

John bought 5 mangoes and 10 oranges for Rs. 40. He then returned 1 mango and got 2 oranges in exchange. What is the price of one orange?

• A. Rs.1
• B. Rs.2
• C. Rs.3
• D. Rs.4

Hint:

Translate value-based exchanges into equations and substitute to eliminate variables.

Answer 1

The Correct Option is B

Let the price of one mango be \( m \) and one orange be \( o \).
Initial purchase: \[ 5m + 10o = 40 \tag{1} \] Then, John returns 1 mango and gets 2 oranges — exchange is value-to-value, so: \[ m = 2o \tag{2} \] Substitute (2) into (1): \[ 5(2o) + 10o = 40 10o + 10o = 40 20o = 40 o = 2 \] \[ \boxed{2 \text{ rupees per orange}} \]