Question:
The cost of 2 oranges and 3 apples is ₹28. If the cost of an apple is doubled, then the cost of 3 oranges and 5 apples will be ₹75. The original cost of 7 oranges and 4 apples is:
The cost of 2 oranges and 3 apples is ₹28. If the cost of an apple is doubled, then the cost of 3 oranges and 5 apples will be ₹75. The original cost of 7 oranges and 4 apples is:
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When solving such problems, set up a system of equations based on the given information, then solve for the unknown variables.
Updated On: Apr 17, 2025
- ₹54
- ₹55
- ₹59
- ₹62
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The Correct Option is A
Solution and Explanation
Let the cost of one orange be \( x \) and the cost of one apple be \( y \). We have the following system of equations:
\[
2x + 3y = 28
\]
When the cost of the apple is doubled, we get:
\[
3x + 5(2y) = 75 \quad \Rightarrow \quad 3x + 10y = 75
\]
Solving these equations gives \( x = 6 \) and \( y = 4 \).
Therefore, the original cost of 7 oranges and 4 apples is: \[ 7x + 4y = 7(6) + 4(4) = 42 + 16 = 54 \]
Therefore, the original cost of 7 oranges and 4 apples is: \[ 7x + 4y = 7(6) + 4(4) = 42 + 16 = 54 \]
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