Average


  1. In a team of 10 persons, nine persons spent ₹40 each for their meal and the remaining one spent ₹9 more than the average expenditure of all the 10 persons. The total expenditure for their meal was









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    Let the amount spent by tenth person be Rs y,
    According to the question,

    y – 40 × 9 + y = 9
    10

    10y - 360 - y = 9
    10

    ⇒ 9y – 360 = 90
    ⇒ 9y = 360 + 90 = 450
    ⇒ y = 450 ÷ 9 = Rs. 50

    Correct Option: C

    Let the amount spent by tenth person be Rs y,
    According to the question,

    y – 40 × 9 + y = 9
    10

    10y - 360 - y = 9
    10

    ⇒ 9y – 360 = 90
    ⇒ 9y = 360 + 90 = 450
    ⇒ y = 450 ÷ 9 = Rs. 50
    ∴ Total expenditure = 40 × 9 + y = 360 + 50
    Total expenditure = Rs. 410


  1. The average (arithmetic mean) of 330, 360 and 390 is









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    As we know that ,

    Arithmetic mean = Sum of given terms
    Total number of terms

    Arithmetic mean = 330 + 360 + 390
    3

    Correct Option: C

    As we know that ,

    Arithmetic mean = Sum of given terms
    Total number of terms

    Arithmetic mean = 330 + 360 + 390
    3

    Arithmetic mean = 329 + 359 + 389



  1. A man purchased 7 bags of rice at the rate of ₹800 each, 8 bags of rice at ₹1000 each and 5 bags of rice at the rate of ₹1200 each. What is the average cost of one bag of rice ?









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    According to question ,

    Average cost of 1 bag of rice = ₹7 × 800 + 8 × 1000 + 5 × 1200
    7 + 8 + 5

    Average cost of 1 bag of rice = ₹5600 + 8000 + 6000
    20

    Correct Option: B

    According to question ,

    Average cost of 1 bag of rice = ₹7 × 800 + 8 × 1000 + 5 × 1200
    7 + 8 + 5

    Average cost of 1 bag of rice = ₹5600 + 8000 + 6000
    20

    Average cost of 1 bag of rice = 19600 = ₹980
    20


  1. A fruit seller sold big, medium and small sized apples for ₹15, ₹10 and ₹5 respectively. The total number of apples sold were in the ratio 3 : 2 : 5. Find the average cost of an apple.









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    A fruit seller sold big, medium and small sized apples for ₹15, ₹10 and ₹5 .
    The total number of apples sold were in the ratio 3 : 2 : 5.
    Ratio of values = 15 × 3 : 10 × 2 : 5 × 5 = 45 : 20 : 25

    Correct Option: C

    A fruit seller sold big, medium and small sized apples for ₹15, ₹10 and ₹5 .
    The total number of apples sold were in the ratio 3 : 2 : 5.
    Ratio of values = 15 × 3 : 10 × 2 : 5 × 5 = 45 : 20 : 25

    ∴ Required average cost = 45 + 20 + 25= 90 = ₹9
    1010



  1. Ram aims to score an average of 80 marks in quarterly and half yearly exams. But his average in quarterly is 3 marks less than his target and that in half yearly is 2 marks more than his aim. The difference between the total marks scored in both the exams is 25. Total marks aimed by Ram is :









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    Let each exam be of 100 marks.
    ∴ Difference = 82 – 77 = 5
    ∵ 5 = 100 marks
    ∴ 25 = 500 marks

    Correct Option: A

    Let each exam be of 100 marks.
    ∴ Difference = 82 – 77 = 5
    ∵ 5 = 100 marks
    ∴ 25 = 500 marks

    ∴ Required marks = 500 × 80 = 400
    100