Three fourth of a number is $100$ more than one half of the number. Find the number.

300

No worries! We‘ve got your back. Try BYJU‘S free classes today!

400

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

500

No worries! We‘ve got your back. Try BYJU‘S free classes today!

200

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is B $400$
Let the required number be $x$ .
$\Rightarrow \frac{3}{4} x = 100 + \frac{1}{2} x$
$\Rightarrow x (\frac{3}{4}) - x (\frac{1}{2}) = 100$
$\Rightarrow 3 x - 2 x = 400$
$\Rightarrow x = 400$
Therefore, the number is $400$ .

Suggest Corrections

Similar questions

Q. Four fifth of a number is

4

more than three fourth of the number. Find the number.

Q. One-fourth of a number is 3 more than 7. Find the number. [2 MARKS]

$\begin{matrix} Weekly wages (in ₹) & 0 - 100 & 100 - 200 & 200 - 300 & 300 - 400 & 400 - 500 Number of workers & 40 & 39 & 34 & 30 & 45 \end{matrix}$

What is the number of people whose wage is less than ₹400?

Q. Four fifth of a number is more than three-fourth of the same number by

40

. Find the number.

Q. Six more than one-fourth of a number is two-fifth of the number. Find the number.

Join BYJU'S Learning Program

Three fourth of a number is 100 more than one half of the number. Find the number.

The correct option is B 400Let the required number be x.⇒34x=100+12x⇒x(34)−x(12)=100⇒3x−2x=400⇒x=400Therefore, the number is 400.

Three fourth of a number is $100$ more than one half of the number. Find the number.

The correct option is B $400$
Let the required number be $x$ .
$\Rightarrow \frac{3}{4} x = 100 + \frac{1}{2} x$
$\Rightarrow x (\frac{3}{4}) - x (\frac{1}{2}) = 100$
$\Rightarrow 3 x - 2 x = 400$
$\Rightarrow x = 400$
Therefore, the number is $400$ .