Math, asked by adityacrazy683, 1 year ago

The sales of an item increases by 20% every week. If the difference between the sales of the fourth week and the second is 157, what are the sales in the third week?

Answers

Answered by paulaiskander2
3

Let the sales of the first week be x.

Since the sales of an item increases by 20% each week, therefore, the sales of the second week will be: x + 0.2x

The sales of the third week will be: x + 0.4x

Finally, the sales of the fourth week will be: x + 0.6x

It is given that the difference between the sales of the fourth week and the second is 157.

Therefore, x + 0.6x - (x + 0.2x) = 157

0.4x = 157

Therefore, x = 392.5

Which means that the third week sales = x + 0.4x = 392.5 + 0.4(392.5) = 549.5

Answered by TooFree
0

Define x:

First week sales = x


Find the second week sales:

Increase = 20% of x = 0.2x

Sales = x + 0.2x = 1.2x


Find the third week sales:

Increase = 20% of 1.2x = 0.24x

Sales = 1.2x + 0.24x = 1.44x


Find the fourth week sales:

Increase = 20% of 1.44x = 0.22x

Sales = 1.44 + 0.288 = 1.728x


Find the difference in sales of the second week and fourth week.

Difference = 1.728x - 1.2 = 0.528x


Solve x:

Difference in the sales of second and fourth week is 157

1.728x - 1.2x = 157

0.528x = 157

x = 157 ÷ 0.528 = 296.35


Find the sales for third week:

Sales =  1.44x = 1.44 (296.35) = Rs 428.18


Answer: Rs 428.18


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