P, Q and R are batsmen. The ratio of the runs scored by them in a certain match was P ∶ Q = 16 : 17 and Q : R = 15 ∶ 16. At the end of the match, they scored a total of 956 runs. The number of runs scored by R is (nearest to an integer):
Explanation:
Given, P ∶ Q = 16 : 17 and Q : R = 15 ∶ 16
∴ P : Q : R = 16 × 15 : 17 × 15 : 16 × 17 = 240 : 255 : 272
⇒ R = 272/767 × 956 = 339
Hence, option (c).