Question

3. A shop sells 600 televisions in a year. If this is a 50% increase on sales the previous year,

how many televisions were sold the year before?
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Answer 1

The shop sold 400 televisions the year before the 50% increase to 600 televisions. This was calculated by dividing the current year sales (600) by 1.5, reflecting the 150% total sales after the increase.

Step-by-step explanation:

To determine how many televisions were sold the year before the 50% increase in sales, we need to work backwards from the given increase. If we know that 600 televisions represent a 50% increase, we can write this as 150% of the original amount, because the original amount plus the 50% increase would make 100% (the original amount) + 50% (the increase). Therefore, we can represent the number of televisions sold the previous year as the base amount (100%).

To calculate the base amount, we set up the equation where 150% is equal to 600 televisions. We use the formula:

Sales the previous year = Current year sales / (1 + Percentage increase)

Converting 150% to a decimal, we get 1.5. So, we divide 600 by 1.5:

Sales the previous year = 600 / 1.5

Sales the previous year = 400 televisions

Therefore, the shop sold 400 televisions the year before.

Answer 2

50% of 600 is 300, so if there was an increase so its 900