Question

Aarushi, Bani, Chaitanya, Tanya and Sanvi went to a restaurant as it was Sanvi’s birthday. They
ordered a cake two pizzas, 5 cokes and some starters. When the celebrations were over, they
received the bill of ₹2800, and it was divided in the following manner.

a. Aarushi paid 1/2 of the bill

b. Bani paid 1/5 of the bill

c. rest of the bill was shared equally by Chaitanya, Tanya, and Sanvi.
Based on the above data answer the following questions: -
i) What fraction of the bill would be paid by Chaitanya, Tanya, and Sanvi?
ii) Since, it was Sanvi’s birthday the others insisted on paying the bill excluding Sanvi. So, they
divided the bill equally. How much each must pay now?
iii) The restaurant was giving a discount to all its customer as it was its silver jubilee, so 1/2 of the bill was waived off. How much each must pay now considering the bill has still to be divided among four of them?

Answer 1

Answer:

i) 1/10

ii) 1/4

iii) 1/8

Step-by-step explanation:

Arushi paid 1/2 and Bani paid 1/5 of the bill

i) Remaining fraction of the bill = $1 - \dfrac12 - \dfrac15 = 1- \dfrac{7}{10} = \dfrac{3}{10}$

Now this was shared equally among the three people.

So, the fraction of the bill paid by Chaitanya, Tanya and Sanvi is $\dfrac13 \times \dfrac{3}{10} = \dfrac{1}{10}$

ii) The bill was divided among four people equally. So each person has to pay 1/4 of the bill.

iii) 1/2 of the bill was waived off. Remaining part = 1 -1/2 = 1/2

This was equally divided among four people.

Fraction paid by each = $\dfrac14 \times \dfrac12 = \dfrac18$