Mayank, Mirza, Little and Jagbir bought a motorbike for $60. Mayank contributed half of the total amount contributed by others, Mirza contributed one-third of total amount contributed by others, and Little contributed one-fourth of the total amount contributed by others. What was the money paid by Jagbir?
Explanation:
Let the money contributed by Mayank, Mirza, Little and Jagbir be a, b, c and d respectively.
a = 12 (b + c + d)
∴ 2a = b + c + d
∴ 2a = 60 - a
∴ a = 20
b = 13 (a + c + d)
∴ 3b = a + c + d
∴ 3b = 60 - b
∴ b = 15
c = 14 (a + b + d)
∴ 4c = a + b + d
∴ 4c = 60 - c
∴ c = 12
Money contributed by Jagbir = 60 − 20 − 15 − 12 = $13
Hence, option (b).
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