Question

If the cost of 6 pencils is equal to the selling price of 5 pencils, find the gain per cent.

Answer 1

let the cost price of 1 pencil = ₹100

therefore cost price of 6 pencils = ₹600

₹600=selling price of 5pencil ( as per the question.)

therefore selling price of 1 pencil=₹120

profit = selling price-cost price=₹120-₹100=₹20

profit%=profit/cost price×100=20/100×100

=20%

Answer 2

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Solution :—
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Let the cost price of each pencil be ₹1.

A/q,

CP of 5 pencils = ₹5

SP of 5 pencils = CP of 6 pencils = ₹6

Thus, CP = ₹5 & SP = ₹6

Since SP > CP, there is a gain

Gain = SP - CP

= ₹(6 - 1)

= ₹1

•°• Required gain percent

= (Gain/CP × 100)%

= (1/5 × 100)%

= 20%

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