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):
Answer & explanation
Correct answer: option 3
P : Q : R
16 : 17
: 15 : 16
240 : 255 : 272
⇒ (240 + 255 + 272) units = 956
⇒ 767 units = 956
⇒ 1 unit = \(\frac{956}{767}\) = 1.246
⇒ R = 272 x 1.246 = 339 (approx.)