Question

If 10 percent of 50 percent of a number is 30 less than one-quarter of the number, what is the number?

120
160
150
100
130

I'm bad with problems like this, please help?

Answer 1

so putting it in eqn :

(10/100) × (50/100) × X = (1/4) X -30

so , X/4 -X/20 =30
so X = 150 !!

so answer is 150 !!

Answer 2

Answer: The correct option is

(C) 150.

Step-by-step explanation: Given that 10 percent of 50 percent of a number is 30 less than one-quarter of the number.

We are to find the number.

Let the required number be represented by x.

Then, according to the given information, we have

`10\%*50\%* x+30=(1)/(4)x\\\\\\\Rightarrow (10)/(100)*(50)/(100)* x+30=(1)/(4)x\\\\\\\Rightarrow (1)/(20)x+30=(1)/(4)x\\\\\\\Rightarrow (x+600)/(20)=(x)/(4)\\\\\\\Rightarrow (x+600)/(5)=x\\\\\Rightarrow x+600=5x\\\\\Rightarrow 5x-x=600\\\\\Rightarrow 4x=600\\\\\Rightarrow x=(600)/(4)\\\\\Rightarrow x=150.`

Thus, the required number is 150.

Option (C) is CORRECT.