Question

The difference between 89% of a number and 73% of the same number is 448. What is 49% of that number?
a) 1426 b) 1372 c) 1218 d) 1124​

Answer 1

Solution :-

Let the certain number be x.

Case : The difference between 89% of a number and 73% of the same number is 448.

According to the question,

=> 89% of x - 73% of x = 448

=> 0.89x - 0.73x = 448

=> 0.16x = 448

=> x = 448/0.16 = 2800

Now, 49% of that number.

= 49% of x

= 49% of 2800

= (49 × 2800)/100

= 1372

Hence,

49% of the certain number = 1372

Answer 2

Answer:

Option B

= 1372.

Step-by-step explanation:

Given :-

The difference between 89% of a number and 73% of the same number is 448.

To Find :-

49% of that number.

Solution :-

Let the number be x.

⇒ 0.89x - 0.73x = 448

⇒ 0.16x = 448

⇒ x = 448/0.16

⇒ x = 2800

49% of that number.

Putting x value, we get

= 49% of x

= 49% of 2800

= (49 × 2800)/100

= 1372

Hence, 49% of the certain number = 1372