Question

Neena purchased two oranges, three bananas and four apples which cost her Rs. 15. Had Neena purchased three oranges, two bananas and one apple, it would have cost her only Rs. 10. If Neena bought 3 oranges, 3 bananas and 3 apples, determine as to how much did she have to pay ?

• A. Rs. 10
• B. Rs. 7 & 50 paise
• C. Rs. 12
• D. Rs. 5
• E. Rs. 15

Hint:

When asked for equal quantities of all items, add all equations to find the sum of one unit of each item first, then multiply by the required quantity. Here adding Eq.1 and Eq.2 directly gives the answer.

Answer 1

Answer: (E)

Step 1: Understanding the Concept:
Set up equations with O = price of orange, B = banana, A = apple.

Step 2: Detailed Explanation:
Equation 1: $2O + 3B + 4A = 15$.
Equation 2: $3O + 2B + A = 10$.
Adding: $5O + 5B + 5A = 25 \Rightarrow O + B + A = 5$.
Cost of 3 each $= 3(O+B+A) = 3 \times 5 = 15$.

Step 3: Final Answer:
Neena would pay Rs. 15.