Rs 368 is divide among P, Q and R such that P gets \(\frac{3}{5}\) of what Q gets and Q gets \(\frac{1}{3}\) of R gets.  Now what is the share of R?

340 240 420 430

240

P + Q + R = 368 P = \(\frac{3}{5}\) Q ⇒  P : Q = 3 : 5 Q = \(\frac{1}{3}\) R ⇒  Q : R = 1 : 3 P  :  Q  :  R 3  :  5        1  :  3  3  :  5  :  15    = 23 R ⇒ 23R = 368 ⇒ 1R = 16 Now, share of R = 15R = 15 × 16 = 240