Question

40% of 15% of 3/4th of a number is 153. What is the number? (a) 3400 (b) 3650 (c) 3600 (d) 3200 (e) None of these

Answer 1

Define x:

Let the number be x

Form equation:

40% of 15% of 3/4th of the number is 153.

⇒ 40% x 15% x 3/4(x) = 153

Solve x:

40% x 15% x 3/4(x) = 153

Write as decimals:

0.4 x 0.15 x 0.75x = 153

Combine into single term:

0.045x = 153

Divide both sides by 0.045:

x = 3400

Answer: (a) 3400

Answer 2

Let the number = x

Given :

40% of 15% of 3/4 is 153

According to the question

$\dfrac{40}{100} \times \dfrac{15}{100} \times \dfrac{3}{4} \: x = 153$


$\dfrac{1800}{40000} x =153$


$0.045x \: = 153$


$x \: = \dfrac{153}{0.045} = 3400$


Hence : Option "A" is the answer.

$\bold{The \: number \: is \: 3400}$