₹4200 are divided among 'P', 'Q', 'R' and 'S' in such a way that the shares of 'P' and 'Q'. 'Q' and 'R' as well 'R' and 'S' are in the ratios of 2 : 3, 4 : 5 and 6 : 7 respectively the share of 'P' is:
Answer & explanation
Correct answer: option 2
The correct answer is Option (2) → ₹640
Three ratios that share a person are joined into one ratio by making the shared person’s share the same number in both.
Joining P : Q = 2 : 3 and Q : R = 4 : 5 (Q made 12 in both):
P : Q = 8 : 12 and Q : R = 12 : 15, so P : Q : R = 8 : 12 : 15
Joining with R : S = 6 : 7 (R made 90 in both):
P : Q : R = 48 : 72 : 90 and R : S = 90 : 105
P : Q : R : S = 48 : 72 : 90 : 105, total 315 parts
P’s share:
\(\displaystyle 4200\times\frac{48}{315}=\) ₹640