Question

A number when increased by 10% becomes 88. Find the number.

• A. 80
• B. 82
• C. 75
• D. 78

Answer 1

The correct option is A 80

Method 1
Let the number be 100
Percent increase $=10$%
$=\frac{10}{100}\times 100=10$
Increased number $=100+10=110$
When increased number is 110, orginal number $=100$
When increased number is 88, orginal number $=\frac{100}{110}\times 88=80$

Method 2

Let, the number be $x$
10% of $x$$=x\times 10$%
$=x\times \frac{10}{100}=\frac{x}{10}$
New number $=x+\frac{x}{10}$
According to the question,
$=x+\frac{x}{10}=88$
$\frac{10x+x}{10}=88$
$\frac{11x}{10}=88$
$11x=88\times 10$
$x=\frac{880}{11}=80$
Original number $=80$