Question

Carol paid 20% of her weekly income of £405 as tax.
She also paid x% of her weekly income towards her pension.
She then had £287.55 of her weekly income left.
Find x

Answer 1

Answer: x = 9%

Step-by-step explanation:

Given :-
Carol paid 20% of her income, which is £405 as tax.
She also paid x% of £405 towards her pension.
The money she had been left with was £287.55.

As per the above statements,
20/100 × £405 = £81
∴ Money she had been left with after paying her tax = £405 - £81 = £324

Now,
x/100 × £405  = £x
∴ £324 - £x = £287.55
∴ £x = £324 - £287.55
→ £x = £36.45

Back to our equation, we have..
x/100 × £405  = £36.45
∴ x = £36.45 × 100/£405
∴ x = £3645//£405
⇒ x = 9%