Four friends went to a restaurant- When the bill arrived- Jon paid 15 as much as Jackey- Jackey paid 12 as much as Jenny paid- and Jenny paid 12 as much as Roy paid- What fraction did Jackey pay-

Let Roy's share = x Jenny's share = x2 Jackey's share = nbsp;x2×12 = x4 Jon's share = nbsp;x2×12×15 = x20 Total bill = Sum of all their shares = x + x2 ...

You visited us 10 times! Enjoying our articles? Unlock Full Access!

Byju's Answer

Standard IX

Mathematics

Ratio and Proportion

Four friends ...

Question

Four friends went to a restaurant. When the bill arrived, Jon paid $\frac{1}{5}$ as much as Jackey, Jackey paid $\frac{1}{2}$ as much as Jenny paid, and Jenny paid $\frac{1}{2}$ as much as Roy paid. What fraction did Jackey pay?

\frac{5}{36}

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

\frac{9}{20}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

\frac{1}{5}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

\frac{5}{30}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is A $\frac{5}{36}$
Let Roy's share = x

Jenny's share = $\frac{x}{2}$

Jackey's share = $\frac{x}{2} \times \frac{1}{2} = \frac{x}{4}$

Jon's share = $\frac{x}{2} \times \frac{1}{2} \times \frac{1}{5} = \frac{x}{20}$

Total bill = Sum of all their shares

$= x + \frac{x}{2} + \frac{x}{4} + \frac{x}{20}$

$= \frac{20 x + 10 x + 5 x + x}{20}$

$= \frac{36 x}{20}$

$= \frac{9 x}{5}$

Let's find the fraction of the money paid by Jackey.

We know that Jackey's share is $\frac{x}{4}$ .

$Fraction that Jackey paid = \frac{Jackey's share}{Total bill}$

$= \frac{\frac{x}{4}}{\frac{9 x}{5}}$

$= \frac{x}{4} \times \frac{5}{9 x}$

$= \frac{5}{36}$

$= \frac{5}{36}$

Therefore, the fraction of amount Jackey paid is $\frac{5}{36} .$

Suggest Corrections

Similar questions

Q. A,B,C,D,E walked into a restaurant for dinner. A paid 1/2 of the bill, B paid 1/5 of the bill and the rest of the bill was shared equally , by C,D,E. How much did C,D and E pay. What fraction of the bill was paid by C,D and E ?

Q. Three friends, Marty, Jenny, and Biff, together invest an amount in the share market. Jenny invested half as much as Marty, and Biff invested a third as much as Jenny. In a year, the investment doubled, and the friends withdrew the money. If Marty gifted all his earnings to Biff on his birthday, how much profit would Biff finally make?

$A, B, C, D$ and $E$ went to a restaurant. $A$ paid $\frac{1}{2}$ of the bill, $B$ paid $\frac{1}{5}$ of the bill and rest of the bill was shared equally by $C, D, and E$ .What fraction of the bill was paid by each?

Mary has two children, John and Jenny. She wanted to divide Rs 900 between them such that John gets twice as much as Jenny. How much money did John actually get?

Q. Tim borrowed ₹75,000 from the bank. He paid

\frac{1}{3}

of this money as interest to the bank after 3 years. How much interest did he pay?

Join BYJU'S Learning Program

Four friends went to a restaurant. When the bill arrived, Jon paid 15 as much as Jackey, Jackey paid 12 as much as Jenny paid, and Jenny paid 12 as much as Roy paid. What fraction did Jackey pay?

Four friends went to a restaurant. When the bill arrived, Jon paid $\frac{1}{5}$ as much as Jackey, Jackey paid $\frac{1}{2}$ as much as Jenny paid, and Jenny paid $\frac{1}{2}$ as much as Roy paid. What fraction did Jackey pay?