Question

Read the following question carefully: Datta purchased two oranges, three bananas and four apples which cost him Rs. 15. If Datta had purchased three oranges, two bananas and one apple, it would have cost him only Rs. 10. If Datta bought 3 oranges, 3 bananas and 3 apples, determine as to how much did he have to pay?

• A. Rs. 7 & 50 paise
• B. Rs. 12
• C. Rs. 12 & 50 paise
• D. Rs. 15
• E. Rs. 10

Hint:

In currency problems, convert everything to the smallest unit (pais(e) to avoid decimal errors.

Answer 1

The Correct Option is D

Step 1: Understanding the Concept:
Let costs be $o, b, a$. We have a system of two equations.
Step 2: Key Formula or Approach:
1. $2o + 3b + 4a = 15$.
2. $3o + 2b + 1a = 10$.
We need $3(o + b + a)$.
Step 3: Detailed Explanation:
Add the two equations:
$(2o + 3o) + (3b + 2b) + (4a + 1a) = 15 + 10$.
$5o + 5b + 5a = 25$.
Divide by 5: $o + b + a = 5$.
Total for 3 of each $= 3 \times 5 = 15$.
Step 4: Final Answer:
The cost is Rs. 15.