Math Problem Statement

Me along with 9 persons are going for a picnic. I did the shopping worth of Rs 10473 and it is to be divided equally among all of us. One person has contributed a wine of Rs 845 and he wants to cut this price from his share that he owes me. So what is the money that each of them owe to me after dividing equally?

Solution

Let's break down the situation step by step to determine how much each person owes you after dividing the total cost of the shopping and accounting for the contribution of the person who brought the wine.

Step 1: Total number of people

There are 10 people in total (including you).

Step 2: Total amount spent

You spent Rs 10,473 on the picnic.

Step 3: Equal share for each person

If the amount is to be divided equally among all 10 people: Equal share for each person=1047310=1047.3 Rs\text{Equal share for each person} = \frac{10473}{10} = 1047.3 \text{ Rs} Each person, without any other consideration, would owe you Rs 1047.3.

Step 4: Deduction for the person who brought the wine

One person contributed a wine worth Rs 845 and wants to deduct this from their share. So, the amount that this person owes you would be: Amount owed by wine contributor=1047.3845=202.3 Rs\text{Amount owed by wine contributor} = 1047.3 - 845 = 202.3 \text{ Rs}

Step 5: Final amounts

  • The person who contributed the wine owes you Rs 202.3.
  • The remaining 8 persons (excluding you and the wine contributor) owe Rs 1047.3 each.

Summary of what each person owes you:

  • Wine contributor: Rs 202.3
  • Other 8 persons: Rs 1047.3 each

Would you like a detailed breakdown, or do you have any questions?


Related questions:

  1. What if more people had contributed different items? How would that change the calculation?
  2. How would the total change if another person contributed an item worth a different amount?
  3. If the amount spent was Rs 15,000 instead, how would the division work?
  4. What if you wanted to exclude yourself from the contribution? How much would the others owe?
  5. How would the calculation differ if the wine contributor wanted to split the wine cost with someone else?

Tip: When dealing with group expenses, keeping track of contributions and using apps like Splitwise can help avoid confusion.

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Math Problem Analysis

Mathematical Concepts

Division
Subtraction
Proportional Sharing

Formulas

Equal share = Total Amount / Number of people
Adjusted share for wine contributor = Equal share - Wine price

Theorems

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Suitable Grade Level

Grades 6-8