Question

5% of x - 2 % of x= 147, then x = ______​

Answer 1

Answer:

• “x” = 4900

Explanation :

Given equation :

→ (5% of x) - (2% of x) = 147

Solving for “x” :

→ (5% • x) - (2% • x) = 147

→ x/20 - x/50 = 147

→ (5x - 2x)/100 = 147

→ 3x/100 = 147

→ 3x = 147*100

→ x = 147*100/3

→ x = 4900

The value of “x” is 49000

Verification :

We have R.H.S. = 147.

And L.H.S. = (5% of x) - (2% of x)

Substitute the value of “x” in L.H.S. :

→ (5% of 4900) - (2% of 4900)

Solving further :

→ (5/100 × 4900) - (2/100 × 4900)

→ (5*49) - (2*49)

→ 245 - 98

→ 147

Therefore, L. H. S. = R. H. S.

Hence, verified

Answer 2

Given

• (5 % of x) - (2 % of x) = 147

To find

• x

Solution

• 5 % of x
• 5/100 × x
• 1/20 × x

x/20 - (I)

• 2 % of x
• 2/100 × x
• 1/50 × x

x/50 - (II)

• (I) - (II)
• x/20 - x/50 = 147
• (5x - 2x)/100 = 147
• (3x)/100 = 147
• 3x = 100 × 147
• 3x = 14700
• x = 14700/3
• x = 4900

Hence, the value of x is 4900.