Question

Find the number which when decreased by 12 % becomes 198.

• A. $225$
• B. $200$
• C. $250$
• D. $275$

Answer 1

Answer: (A)

$225$

Let the number be $m$.

Decrease $=12\%$ of $m$$=\frac{12}{100}\times m=\frac{3m}{25}$

$\therefore$, Decreased number $=m–\frac{3m}{25}=\frac{25m–3m}{25}=\frac{22m}{25}$

According to the question:

Decreased number $=\frac{22m}{25}=198$

$22m=198\times 25$

$m=\frac{4950}{22}=225$

$\therefore$ the original number is $225$.