Question
The sum of three numbers A, B and C is ₹11,800. The
ratio of A’s share to B’s share is 3 : 4 , and the ratio of B’s share to C’s share is 5 : 6 . What is C’s share ?Solution
A : B = 3 : 4 B : C = 5 : 6 Make B same in both ratios. LCM of 4 and 5 = 20 A : B = 3 : 4 = 15 : 20 (×5) B : C = 5 : 6 = 20 : 24 (×4) So A : B : C = 15 : 20 : 24 Sum of parts = 15 + 20 + 24 = 59 Total = ₹11,800 1 part = 11,800 / 59 = 200 C’s share = 24 parts = 24 × 200 = ₹4,800
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