Question

divide 1500 into two parts such that 10 % of one part is equal to 20 % of the other​

Answer 1

Step-by-step explanation:

Divide Rs 1500 into two parts so that 10% of larger part exceeds 8% of the smaller part by Rs. 60.

Find the larger and smaller part.

Let the smaller part be x.

And the larger part be (1500-x)

According to the question

10% of (1500-x) - 8% of x = 60

Or 10/100 of(1500-x) - 8/100 of x = 60

Or150 - x/10 - 2/25 x = 60

Or -5x-4x/50 = 60 - 150

Or -9x = -90 * 50

Or -9x = -4500

Or +9x = + 4500

Or x = 4500/9

Or x = 500

Larger part = 1500-500

= 1000

Smaller part = 500