Algebramedium · Past Paper

The cost of 2 pencils and 3 pens is Rs 40. The cost of 3 pencils and 2 pens is Rs 35. Find the cost of a pencil.

ARs 5
BRs 10
CRs 15
DRs 2

✓ Correct Answer: ARs 5

2x+3y=40, 3x+2y=35. Subtracting equations: y-x=5 -> y=x+5. Substitute into 2x+3(x+5)=40 -> 5x+15=40 -> 5x=25 -> x=5.

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