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Question

The average monthly expenditure of a family was ₹8,060 during the first three months, ₹9,750 during the next four months and ₹9,920 during the last five months of a year. If the total savings during the year was ₹65,300, the average monthly income (in ₹) of the family was:

The correct answer is

14,975

The total expenditure during the year is ₹8,060 × 3 + ₹9,750 × 4 + ₹9,920 × 5 = ₹24,180 + ₹39,000 + ₹49,600 = ₹112,780. The total savings is ₹65,300. Therefore, the total income is ₹112,780 + ₹65,300 = ₹178,080. The average monthly income = ₹178,080 ÷ 12 = ₹14,975.

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Important Questions from Average

  1. The average height of 20 students of class 8 is 152 cm and the average height of 15 students of class 9 is 168 cm. What is the average height (to the nearest cm) of the students of both classes?

  2. The average of 4, 6, 8, 12 and x is 7 and the average of x, 9, 13, 15 and y is 9. What is the value of 2x - 3y?

  3. The average weight of 20 girls in a school was 52 kg. Two new students of weight 54 kg and 50 kg were admitted. The ratio of this new average to the old one is:

  4. If the average of two numbers is 13 and the square root of their product is 12, then the difference between the numbers is:

  5. If the average of 5 consecutive odd integers in increasing order is 11 , then the average of the last 3 of them is:

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