Question

If 12% of 75% is greater than 5% of a number by 75,
the number is
(1) 1875
(2) 1890
(3) 1845
(4) 1860
(5) None of these​

Answer 1

Answer:

1890 ...................

Answer 2

Given,

12% of 75% of any number is greater than 5% of this number by 75.

To Find,

The number.

Solution,

For that at first, let's assume that. the number is x.

75% of x is = x×$\frac{75}{100}$=$\frac{3x}{4}$,

12% of 75 % of the number x means 12% of $\frac{3x}{4}$.

∴12% of $\frac{3x}{4}$= $\frac{3x}{4}$×$\frac{12}{100}$=$\frac{9x}{100}$.

5% of x = x×$\frac{5}{100}$=$\frac{5x}{100}$.

As given, 12% of 75% of any number is greater than 5% of this number by 75, So we can write,

$\frac{9x}{100} -\frac{5x}{100}$=75.

⇒$\frac{9x-5x}{100}$=75.

⇒$\frac{4x}{100}$=75.

⇒x=75×$\frac{100}{4}$=1875.

Hence, the number is (Option 1)1875.