Question

15. By selling a music system for 7290, Sumit lost 20%. What was the cost price of the music system? give me answer by step by step explanation​

Answer 1

★$\huge\bf{\blue{\underline{Question:-}}}$

By selling a music system for 7290, Sumit lost 20%. What was the cost price of the music system?

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★$\huge\bf{\red{\underline{Answer:-}}}$

Profit % = 5.625%

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★$\huge\bf{\green{\underline{Explanation:-}}}$

Let the price at which he bought the music system be P, so

16.66% = [P - 4500] / P *100

50/3 = [ 1 - 4500/P ] * 100

1/6 = 1 - 4500/P

4500/P = 1 - 1/6

4500/P  = 5/6

P = {4500 x 6} / 5

P = 5400

He sells now for 5703.75 so, profit/loss % is given by

[5703.75 - 5400 ] / 5400 * 100

= 303.75 / 5400 * 100

= 0.05625 * 100

Profit % = 5.625%

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