Question

Adding 5% of a number to itself is the same as multiplying the number by _______.

A. 1.05
B. 1.5
C. 5
D. 105

Answer 1

Answer:

( A ) 1.05

Step-by-step explanation:

Let the number be x.

Hence, 5% of x:

( x / 100 ) × 5 = x / 20

Thus,

x + x / 20 = 21x / 20 = 1.05x

Therefore, answer = ( A ) 1.05

Answer 2

Adding 5% of a number to itself is the same as multiplying the number by 1.05. and option (A) is correct.

Step-by-step explanation:

Given:

Adding 5% of a number to itself is the same as multiplying the number.

To Find:

The  multiplying number.

Solution:

Let the  number is p and multiplying number is q.

As  given, adding 5% of a number to itself is the same as multiplying the number.

$p+p\times\frac{5}{100} =p\times q$

$p(\frac{105}{100}) =p\times q$

$1.05p =p\times q$

$q=\frac{1.05p}{p}$

$q=1.05$

Thus,adding 5% of a number to itself is the same as multiplying the number by 1.05. and option (A) is correct.

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