Divide Rs. 600 among A, B and C so that Rs. 40 more than 2/5th of A's share,Rs. 20 more than 2/7th of B's share and Rs. 10 more than 9/17th of C's share may all be equal. What is A's share?

∵ 2A/5 + 40 = 2B/7 + 20 = 9C/17 + 10 = k
∴ A = 5(k - 40)/2, B =7(k - 20)/2 and C = 17(k - 10)/9
⇒ 5(k - 40)/2 +7(k - 20)/2 +17/(k - 10 )/9 = 600
⇒ 45k - 1800 + 63k - 1260 + 34k - 340 = 10800
⇒ 142k = 14200
∴ k = 14200 / 142 = 100
Hence A's share = (5/2) x ( 100 - 40) = Rs. 150