Question 17 of 33intermediate🔧 ApplyMCQ1 mark

Assume there are four families in a country. The average per capita income of these families is Rs 5000. If the income of three families is Rs 4000, Rs 7000 and Rs 3000 respectively, what is the income of the fourth family?

Exercise: EXERCISES | Q: 3 | (Chapter: 15)
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Explanation

Option D is correct. The question is from the 'LET'S WORK THESE OUT' section in the textbook. To find the income of the fourth family, we need to use the formula for calculating average income. The average income is calculated by dividing the total income by the number of families. Since the average is Rs 5000 for 4 families, the total income must be Rs 20000. Subtracting the known incomes (4000 + 7000 + 3000 = 14000) from the total gives us Rs 6000 as the fourth family's income.

Solution Steps

  1. Step 1: Calculate the total income of all four families using the formula: Total Income = Average Income × Number of Families

  2. Step 2: Total Income = 5000×45000 \times 4 = Rs 20000

  3. Step 3: Add the incomes of the three known families: 4000 + 7000 + 3000 = Rs 14000

  4. Step 4: Subtract the sum of known incomes from total income: 20000 - 14000 = Rs 6000

  5. Step 5: Therefore, the income of the fourth family is Rs 6000, which corresponds to Option D.

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