Question

A shop recorded total sales of $2,000 on Monday. On Tuesday, its sales fell by 10%. On Wednesday, sales fell by another 20% compared with Tuesday. From Wednesday to Thursday, sales increased by an amount equal to 25% of Monday’s total sales.
What is the net change, in dollars, in total sales from Monday to Thursday?

The net change, in dollars, in total sales was

Answer 1

The net change, in dollars, in total sales was -60

Step-by-step explanation:

A shop recorded total sales of $2,000 on Monday

• On Tuesday, its sales fell by 10%

• On Wednesday, sales fell by another 20% compared with Tuesday

• From Wednesday to Thursday, sales increased by an amount equal to 25% of Monday’s total sales

We need to find the net change in total sales from Monday to Thursday

∵ The total sales in Monday = $2000

∵ The total sales fell by 10% on Tuesday

∵ 2000 × 10% = 2000 × $\frac{10}{100}$ = 200

∴ The total sales fell by $200 on Tuesday

∴ The total sales on Tuesday = 2000 - 200 = 1800

∴ The total sales on Tuesday is $1800

∵ On Wednesday, sales fell by 20% compared with Tuesday

∵ The total sales on Tuesday = $1800

∵ 1800 × 20% = 1800 × $\frac{20}{100}$ = 360

∴ The total sales fell by $360 on Wednesday

∴ The total sales on Wednesday = 1800 - 360 = 1440

∴ The total sales on Wednesday is $1440

∵ The sales increased by an amount equal to 25% of Monday’s

  total sales from Wednesday to Thursday

∵ The total sales on Monday = $2000

∵ 2000 × 25% = 2000 × $\frac{25}{100}$ = 500

∴ The total sales increased by $500 from Wednesday to Thursday

∵ The total sales = $1440 on Wednesday

∴ The total sales from Wednesday to Thursday = 1440 + 500 = 1940

∴ The total sales from Wednesday to Thursday is $1940

∵ The net of change = The total sales on Thursday - the total sales

   on Monday

∵ The total sales on Monday = $2000

∵ The total sales on Thursday = $1940

∴ The net change = 1940 - 2000 = -60

∴ The net change from Monday to Thursday is - $60

The net change, in dollars, in total sales was -60

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Answer 2

Answer:

The net change in sales is $60

Explanation:

Given the total sales on Monday = $2000

According to question,

Sales on Tuesday will be calculated, 2000 – 10% of 2000 = 2000 – 200 = $1800

Sales on Wednesday will be calculated as,

1800 – 20% of 1800 = 1800 – 360 = $1440

Sales on Thursday = 1430 + 25% of 2000 = 1440 + 500 = $1940

Net change = Sale on Monday – Sales on Thursday

Net change = 2000 – 1940 = $60

Therefore, the net change in sales is $60