Question

If 10 percent is deducted from a quantity and the 45 is the final quantity then what is the original quantity

Answer 1

Answer:-

The Original Quantity is 50.

Explanation:-

Given:-

• When 10% of total quantity deducted from total quantity then the result is 45.

To Find:-

• The Original Quantity.

Now,

Let the original quantity be x.

So 10% of x = $\bf\dfrac{10x}{100}.$

Therefore ATQ:-

▪︎ Total Quantity - 10% of quantity = 45.

$\\ \tt\mapsto x - \frac{x}{10} =45.$

$\\ \tt\mapsto \frac{10x - x}{10} = 45 .$

$\\ \tt\mapsto 9x = 450.$

$\\ \tt\mapsto x = \frac{450}{9} .$

$\\ \large\red{\mapsto \boxed{ \blue{ \bf x = 50.}}}$

Therefore Total Quantity is x which is equal to 50.

Answer 2

Given ,

If 10 percent is deducted from a quantity , the final quantity is 45

Let , the original quantity be " x "

Thus , 10 % of original quantity will be

10x/100 = x/10

According to the question ,

x - x/10 = 45

(10x - x) = 450

9x = 450

x = 450/9

x = 50

$\therefore$The original quantity is 50