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A, B, C and D bought a motorbike for Rs.60,000. A paid one half of the sum of the amounts paid by the other three. B paid one third of the sum of the amounts paid by the other three and C paid one fourth of the sum of the amounts paid by other three. How much did D has to pay?

A, B, C and D bought a motorbike for Rs.60,000. A paid one half of the sum of the amounts paid by the other three. B paid one third of the sum of the amounts paid by the other three and C paid one fourth of the sum of the amounts paid by other three. How much did D has to pay? Correct Answer Rs.13000

Given:

A, B, C and D bought a motorbike for Rs.60,000

A paid one half of the sum of the amounts paid by the other three

B paid one third of the sum of the amounts paid by the other three

C paid one fourth of the sum of the amounts paid by the other three

Calculation:

Given,

A + B + C + D = 60000

A paid one half of the sum of the amounts paid by the other three

A = (B + C + D)/2

⇒ (B + C + D) = 2A

A + B + C + D = A + 2A = 3A

⇒ 3A = 60000

∴ A = 20000

B paid one third of the sum of the amounts paid by the other three

B = (A + C + D)/3

⇒ (A + C + D) = 3B

A + B + C + D = B + 3B = 4B

⇒ 4B = 60000

∴ B = 15000

C paid one fourth of the sum of the amounts paid by the other three

C = (A + B + D)/4

⇒ (A + B + D) = 4C

A + B + C + D = C + 4C = 5C

⇒ 5C = 60000

∴ C = 12000

A + B + C + D = 60000

⇒ (20000 + 15000 + 12000 + D) = 60000

⇒ 47000 + D = 60000

∴ D = 60000 - 47000 = 13000

D has to pay Rs.13000

 

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