Multiple choice

Rs.282 is divided into two parts in such a way that the fifth part of the first and the eighth part of the second are in the ratio 3 : 4. The first part is

  1. 90

  2. 108

  3. 120

  4. 84

Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Let the two parts be x and y. We have x + y = 282 and (x/5) : (y/8) = 3 : 4. From the ratio, 8x/5y = 3/4, so 32x = 15y, giving y = 32x/15. Substituting: x + 32x/15 = 282, so 47x/15 = 282, giving x = 90. This is the first part, so option A is correct.