Question 63

On selling 18 pens at ₹660, there is a profit equal to the cost price of 4 pens. What is the cost price of one pen (in ₹)?

Solution

Let's assume the cost price and selling price of each pen is 'cp' and 'sp'.

On selling 18 pens at ₹660, there is a profit equal to the cost price of 4 pens.

18(sp-cp) = 4cp

9(sp-cp) = 2cp

9sp-9cp = 2cp

9sp = 2cp+9cp

9sp = 11cp Eq.(i)

As we know that selling price of 18 pens is 660.

18sp = 660

3sp = 110 Eq.(ii)

Put Eq.(ii) in Eq.(i).

$$3\times110$$ = 11cp

cp = 30

So the cost price of one pen = ₹30

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