Question

After having bar B. Q. in a restaurant, three friends paid the bill. Afzal paid 2/3 as much as Danial paid, and Danial paid 1/2 as much as Tariq paid. What fraction of the bill did Danial pay?


3/11
1/3
12/13
5/8
​

Answer 1

Given :-

• Afzal paid 2/3 as much as Danial paid.
• Danial paid 1/2 as much as Tariq paid.

To Find :-

• What fraction of the bill did Danial pay ?

Solution :-

Given that,

→ Afzal paid 2/3 as much as Danial paid.

→ Afzal paid = (2/3) * Danial paid.

→ (Afzal / Danial) = (2/3)

→ Afzal paid : Danial paid = 2 : 3

Similarly,

→ Danial paid 1/2 as much as Tariq paid.

→ Danial paid = (1/2) * Tariq paid.

→ (Danial / Tariq) = (1/2)

→ Danial paid : Tariq paid = 1 : 2

Now, we have :-

→ Afzal paid : Danial paid = 2 : 3

→ Danial paid : Tariq paid = 1 : 2

Therefore,

→ Afzal paid : Danial paid : Tariq paid = (2*1) : (1*3) : (3*2)

→ Afzal paid : Danial paid : Tariq paid = 2 : 3 : 6 .

Hence,

→ Danial Paid = 3 / (2 + 3 + 6) = (3/11) (Ans.)

∴ Danial Paid (3/11) Fraction of the bill.