Question 75

A number is first increased by $$16\frac{2}{3}\%$$ and then decreased by 15% to get 238. What is 37.5 % of that number?

Solution

Consider number=100

First increased by $$16\frac{2}{3}\% = \frac{1}{6}$$

100 + (100 $$\times \frac{1}{6}$$)

= 100 +16.66

= 116.66

Now decreased by 15%

= $$116.66- (116.66 \times $$ 15%)

= 99.4

99.4 parts -> 238 (Given)

1->2.4

So, 100 (number assumed) = 240

So, the number = 240

We have to find 37.5 % of that number

= $$240\times \frac{37.5}{100}$$

= $$240\times \frac{3}{8}$$

= 90

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