Find Ratio






Q. If 649 bananas are distributed among three monkeys in the ratio 1/2 : 1/6 : 1/4 , how many bananas does the first monkey get ?  āϝāĻĻāĻŋ 649āϟāĻž āĻ•āϞ āϤāĻŋāύāĻŋāϟāĻž āĻŦāĻžāĻ¨ā§āĻĻā§°ā§° āĻŽāĻžāϜāϤ 1/2 : 1/6 : 1/4 āĻ…āύ⧁āĻĒāĻžāϤāϤ āĻŦāĻŋāϤ⧰āĻŖ āϕ⧰āĻž āĻšāϝāĻŧ, āϤ⧇āĻ¨ā§āϤ⧇ āĻĒā§ā§°āĻĨāĻŽ āĻŦāĻžāĻ¨ā§āĻĻā§°āĻŸā§‹ā§ąā§‡ āĻ•āĻŋāĻŽāĻžāύāϟāĻž āĻ•āϞ āĻĒāĻžāĻŦ ? 


A. 324  B. 344  C. 354   D. 374


Soln / āϏāĻŽāĻžāϧāĻžāύ


Given ratio / āĻĻāĻŋāϝāĻŧāĻž āĻ…āύ⧁āĻĒāĻžāϤ : 1/2 : 1/6 : 1/4


LCM of 2, 6, 4 = 12 (2, 6 āφ⧰⧁ 4 ā§° LCM = 12)

Convert into whole number ratio / āĻĒā§‚ā§°ā§āĻŖāϏāĻ‚āĻ–ā§āϝāĻžā§° āĻ…āύ⧁āĻĒāĻžāϤāϞ⧈ ā§°ā§‚āĻĒāĻžāĻ¨ā§āϤ⧰:


12 ÷ 2 = 6,  12 ÷ 6 = 2,  12 ÷ 4 = 3

So ratio = 6 : 2 : 3 (āϏ⧇āϝāĻŧ⧇ āĻ…āύ⧁āĻĒāĻžāϤ = 6 : 2 : 3)


Total parts / āĻŽā§āĻ  āĻ…āĻ‚āĻļ6 + 2 + 3 = 11


First monkey’s share / āĻĒā§ā§°āĻĨāĻŽ āĻŦāĻžāĻ¨ā§āĻĻā§°ā§° āĻ…āĻ‚āĻļ:

6/11 × 649 

649 ÷ 11 = 59

59 × 6 = 354

Ans / āωāĻ¤ā§āϤ⧰: C. 354