The sum of two numbers is 3000. If 8% of one number is equal to 12% of the other, find the numbers.

Question

asked Sep 27, 2022 228k views

1 Answer

Philkark · Answer 1 · 2022-10-03T11:20:29+0000

one is 1800 and another is 1200

Explanation:

let no's be A and B

so, A+B =3000

given, 8% = 8/100 = 2/25

12%= 12/100 = 3/25

As per question 8% of A is = 12% of B

so, (2/25)*A = (3/25)*B

now, multiply cross wise

then we get, (A/B) = 3:2

thus two numbers are in the ratio of 3:2

so, let A =3x, B=2x

cause sum of these is 3000 so, A+B =3000

3x+2x =3000

5x = 3000

x= 3000/5

.: x = 600

so, first no is 3x =3*600=1800

2nd no is 2x= 2*600= 1200

Hope this helps you