Question

. Rs.600 are divided among A, B and
so that Rs. 40 more than of A’s share,
Rs. 20 more than of B's share and Rs. 10 more than of C's share are all equal.
A's share is​

Answer 1

Step-by-step explanation:

∵ 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