Nandan bought some pencils at the rate of Rs 20 per pencil . He also bought an equal number of erasers at the rate of Rs 4 per eraser . He m

Question

Nandan bought some pencils at the rate of Rs 20 per pencil . He also bought an equal number of erasers at the rate of Rs 4 per eraser . He made 40 % profit on pencils and 50 % profit on erasers . At the end of the day, all the pencils and erasers were sold out and he made a profit of Rs 470 . Find the number of pencils he purchased.

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7 months 2021-08-09T07:50:00+00:00 1 Answers 2 views 0

47 pencil

Step-by-step explanation:

Let x represent the number of pencils that were bought. Since equal number of erasers where also purchased, hence x erasers were purchased.

Cost of pencils = Rs 20 per pencil * x pencils = 20x

Cost of erasers = Rs 4 per eraser * x eraser = 4x

40% profit was made on pencils, hence:

Profit on pencils = 40% of cost price = 0.4 * 20x = 8x

50% profit was made on erasers, hence:

Profit on eraser = 50% of cost price = 0.5 * 4x = 2x

Since the total profit from pencil and eraser was Rs 470, hence:

8x + 2x = 470

10x = 470

x = 47

Therefore he purchased 47 pencil