d 40% of a number is more than 20% of 650 by 190

# Basic Math MCQ 5 (One number percent greater than percent of other number)

MCQ5: 40% of a number is more than 20% of 650 by 190. Find the number?

a) 600           b) 700           c) 800              d) 900

Solution:

Let the number is ‘x’

40% of ‘x’ ​$$=\frac{40}{100}\times x$$

Now

20 % 0f 650  ​$$=\frac{20}{100} \times 650 = 130$$

Now by given condition 40% of ‘x’ is greater than 20% of 650 by 190 i-e we will have to add 190 in 20% of 650 to make it equal to 40% of ‘x’

Mathematically

40% of ‘x’ = 20% of 650 + 190

or

$\frac{40}{100}\times x=130+190$

hence ,$\frac{40}{100}\times x=320$

so, $x= \frac{320\times100}{40}$

$x=800$

So number is 800 — the option c is correct

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