High School

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1. Divide ₹876.95 by 5.

2. Convert 640 days to weeks and days.

3. Convert the following percentages to decimals:
a. 63.4%
b. 15%

4. Convert the following fractions to percentages:
a. [tex]\frac{7}{100}[/tex]
b. [tex]12\frac{2}{5}[/tex]

5. Find the sum of: 4 minutes 42 seconds + 6 minutes 29 seconds.

6. Solve the following:
a. Jatin scored 570 marks out of 600. Find the percentage he scored.
b. Grandfather gave ₹500 to Aakash. Aakash spent ₹250 out of it. Find the percentage of money Aakash spent.
c. Jyoti played football for 1 hour and 10 minutes in the morning and for 55 minutes in the evening. How much longer did she play in the morning?
d. Find the cost of 3 balloons if one balloon costs ₹16.75.

Answer :

Let's address each part of the question step by step:

  1. Divide ₹. 876.95 by 5.2

    To divide 876.95 by 5.2, we can perform the division directly:

    [tex]\frac{876.95}{5.2} = 168.644[/tex]

    So, ₹ 876.95 divided by 5.2 is approximately 168.64.

  2. Convert 640 days to weeks and days

    There are 7 days in a week. To convert 640 days to weeks and days:

    [tex]\text{Weeks} = \frac{640}{7} = 91 \text{ weeks} \text{ and } 3 \text{ days}[/tex]

    So, 640 days is equivalent to 91 weeks and 3 days.

  3. Convert percentage to decimal

    a. 63.4%:

    To convert a percentage to a decimal, divide by 100:

    [tex]63.4\% = \frac{63.4}{100} = 0.634[/tex]

    b. 15%:

    Similarly,

    [tex]15\% = \frac{15}{100} = 0.15[/tex]

  4. Convert these fractions to percentages

    a. [tex]\frac{7}{100}[/tex]:

    Since it's already over 100, it represents 7%.

    b. [tex]12\frac{2}{5}[/tex]:

    First, convert the mixed number to an improper fraction:

    [tex]12\frac{2}{5} = \frac{62}{5}[/tex]

    To find the percentage, multiply by 100:

    [tex]\frac{62}{5} \times 100 = 1240\%[/tex]

  5. Find the sum of: 4 min 42 s + 6 min 29 s

    First, add the seconds:

    [tex]42 + 29 = 71 \text{ seconds}[/tex]

    71 seconds is 1 minute and 11 seconds. Now add the minutes:

    [tex](4 + 6 + 1) \text{ minutes} = 11 \text{ minutes}[/tex]

    So, the sum is 11 minutes and 11 seconds.

  6. Solve the following:

    1. Jatin scored 570 marks out of 600. Find the percentage he scored.

      Percentage is calculated as:

      [tex]\frac{570}{600} \times 100 = 95\%[/tex]

      So, Jatin scored 95%.

    2. Grandfather gave ₹.500 to Aakash. Aakash spent ₹.250 out of it. Find the percentage of money Aakash spent.

      [tex]\frac{250}{500} \times 100 = 50\%[/tex]

      Aakash spent 50% of the money.

    3. Jyoti played football for 1 hour and 10 minutes in the morning and for 55 minutes in the evening. How much longer did she play in the morning?

      Convert 1 hour and 10 minutes to minutes: 70 minutes.

      Difference:

      [tex]70 - 55 = 15 \text{ minutes}[/tex]

      Jyoti played 15 minutes longer in the morning.

    4. Find the cost of 3 balloons, if one balloon costs ₹. 16.75.

      Multiply the cost of one balloon by 3:

      [tex]16.75 \times 3 = 50.25[/tex]

      The cost for 3 balloons is ₹ 50.25.

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