Question

Three friends A, B and C dine out and decide to split the bill according to what they order. A’s portion and B’s
portion of the bill totaled $35, while B’s portion of the bill was $5 less than C’s portion of the bill. The ratio of A’s
portion to C’s portion of the bill is 4:5. Determine the total bill amount

Answer 1

Let A be A’s portion.
Let B be B’s portion.
Let C be C’s portion.

Given:
A’s portion and B’s portion = 35
A + B = 35 ... Eq.1

B’s portion less 5 than C’s portion
B = C - 5 ... Eq.2

Ratio A to C = 4 : 5

Solution:

First, find the ratio of A to C

A/C = 4/5
A = 4/5C = 0.8C

By substituting the values to the given Eq.1 and Eq.2 to find the value of C

A + B = 35

(0.8C) + (C - 5) = 35

0. 8C + C - 5 = 35

1.8C = 40

C = 40/1.8 = 22.22...

Therefore, A + B + C = 35 + 22.22 = 57.22 $

That’s their total bill amount.

Hope this will be helpful to you.

Answer 2

Answer:

Profit And Loss Account

Particulars Amount Particulars Amount

To Manager;s

commission

(15000*5/100) 750 By profit before B's Salary

(12500+2500) 15000

To Net profit T/f to

P/L Appropriation

Account 14250

Total 15000 Total 15000

Profit And Loss Appropriation Account

Particulars Amount Particulars Amount

To Interest on capital

A = 50000*6% = 3000

B=30000*6% = 1800 4800 By net profit 14250

B's Salary 2500

To profit T/f to

A's Capital A/c = 4170

B's Capital A/c = 2780 6950

Total 14250 Total 14250

Partners capital account

Particulars A B Particulars A B

By bal b/d 50000 30000

By Int on capital 3000 1800

salary 2500

To bal c/d 57170 37080 By P/L Appr A/c 4170 2780

Total 57170 37080 Total 57170 37080