Question

a sum of rs.2415was to be divided among 3persons A, B, C in such proportion that A's share is B's share as 4:5and B:C is 9:16.how much does each get?​

Answer 1

ANSWER:

c = 1200 b = 675 a = 540

steps

1) we observe that b is common in both so we take its lcm = 45

2)we equivilate the ratios = A : B  = 4 :5 = 4*9 : 5* 9 : 15 * ( 45/9 as of second ratio)

= 36:45:80

so if we add them terms = 161

we divide amount by sum of terms so answer is 15

we divide the amount as follows then

a = 36 * 15

b = 45 * 15

c = 80 * 15