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A, B, C, D, and E went to a restaurant for dinner. A paid 1 / 2 of the bill, B paid 1

/ 5 of the bill and rest of the bill was shared equally by C, D and E. What fractions

of the bill was paid by each?

Answer:

Let us consider the total bill of the restaurant = 1

Bill paid by A = 1 / 2

Bill paid by B = 1 / 5

Remaining bill can be calculated as below:

Remaining bill = 1 – {(1 / 2) + (1 / 5)}

= 1 – {(5 + 2) / 10}

= 1 – (7 / 10)

We get,

= 3 / 10

Shares of the three persons = (3 / 10) ÷ 3

= (3 / 10) × (1 / 3)

= 1 / 10

Therefore, each paid (1 / 10) of the bill.

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