The difference between 87% and 71% of a number is 448. What is 59% of that number

Question

Today I came across an objective type question in that I have to choose from 4 optiona. I found myself struggling with this question since I have not been in touch with Math since I completed my graduation.

The question was:

The difference between 87% and 71% of a number is 448. What is 59% of that number?

I would really appreciate any help on this.

$0.87x-0.71x=448$ and solve for $x$. – Mauro ALLEGRANZA Sep 13 '19 at 11:44 — Mauro ALLEGRANZA, Sep 13 '19 at 11:44

score 1 · Answer 1 · answered Sep 13 '19 at 11:46

1

As mentioned in the comments, $0.87x - 0.71x = 448$. Then you can use the unitary method:

$$0.16x=448$$ $$0.01x=28$$ $$0.59x = \ ?$$

answered Sep 13 '19 at 11:46

Toby Mak

16,827

score 1 · Accepted Answer · answered Sep 13 '19 at 11:53

1

With a reasoning from elementary school:

The difference is $16\,\%$ of that number. So, $1\,\%$ is $16$ times less, i.e. $\frac{448}{16}=28$, and $59\,\%$ is $59$ times the latter: $$59\times 28=1652.$$

answered Sep 13 '19 at 11:53

Bernard

175,478

score -1 · Answer 3 · edited Sep 21 '20 at 02:13

-1

Use the rule of three.

$448$ is for $16$
like $x$ is for 59

then:

$$\frac{59 \times 448}{16} = ?$$

edited Sep 21 '20 at 02:13

sai-kartik

2,090

answered Sep 21 '20 at 01:47

Alfonso Ulises Moctezuma Gómez

1

1

Welcome to MSE. For some basic information about writing mathematics at this site see, e.g., basic help on mathjax notation, mathjax tutorial and quick reference, main meta site math tutorial and equation editing how-to. – José Carlos Santos Sep 21 '20 at 02:06

The difference between 87% and 71% of a number is 448. What is 59% of that number

3 Answers3