Percentage related question

Question

I was solving following question:
Last year Elaine spent 20% of her annual earnings on rent. This year she earned 15% more than last year and she spent 30% of her annual earnings on rent. The amount she spent on rent this year is what percent of the amount spent on rent last year?

The answer that I found was 172%. But that book had 170% as the answer.
Tell me what am I doing wrong?
if x is her annual earning in year 1. the rent in year 1 will be 0.2x
income in year 2 is 1.15x then rent in year 2 will be 0.3 * 1.15x = 0.345x
and (0.345x / 0.2x)* 100 = 172.5 %
please help.

score 3 · Answer 1 · answered Jul 27 '13 at 18:19

3

It's possible that the book has done an approximation (a wrong one ) of 0.345 to 0.34 (truncated 3rd digit ). That approximation will give you 170% .But your answer is exact .

answered Jul 27 '13 at 18:19

Harish Kayarohanam

1,980
2
15
24

thanks for clarification :) – noman Jul 28 '13 at 07:57

score 2 · Accepted Answer · answered Jul 27 '13 at 17:53

2

Well from what I see there is no problem with your answer.

answered Jul 27 '13 at 17:53

Omega

108

Then why my answer is different? – noman Jul 27 '13 at 17:54
what type of assignment were you doing? – Omega Jul 27 '13 at 17:54
It is a multiple choice question. – noman Jul 27 '13 at 17:55
there you go. Is there any other option closer to 172.5%? – Omega Jul 27 '13 at 17:58

Percentage related question

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