Question

What is the final amount if 1235 is increased by 4% followed by a 4% decrease?

Give your answer rounded to 2 DP

And hegarty said that 1204.23 was incorrect...

Answer 1

Answer: 1233.02

Explanation:

4% = 0.04

1235 × 0.04 = 49.4 (the original number was increased by this amount)

1235 + 49.4 = 1284.4 (new number after increment)

1 284.4 × 0,04 = 51.376 (the number has been reduced by this amount)

1284.4 - 51.376 = 1233.024- final amount.

Rounded to 2 DP: 1233.02

Answer 2

1233.02 to 2 D.P.

Explanation:

4 % = 0.04

So to obtain the amount after increase by 4% we multiply by 1.04:

1235 * 1.04 = 1284.4

Decreasing by 4%: we mutriply by 1 - 0.04 = 0.96:

1284.4 * 0.96

= 1233.024.