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?
1562
1652
1662
1552I would really appreciate any help on this.
$\endgroup$ 13 Answers
$\begingroup$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:$$59\times 28=1652.$$
$\endgroup$ $\begingroup$As mentioned in the comments, $0.87x - 0.71x = 448$. Then you can use the unitary method:
$$0.16x=448$$$$0.01x=28$$$$0.59x = \ ?$$
$\endgroup$ $\begingroup$Use the rule of three.
$448$ is for $16$
like $x$ is for 59
then:
$$\frac{59 \times 448}{16} = ?$$
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