High School

What per cent of 92 is 46?

In a pack of 52 playing cards, find the percentage of spades.

Harish saves ₹900 out of a total monthly salary of ₹14,400. Find the percentage of his savings.

Find the number which is 15% less than 300.

Find the change in per cent of the price of a refrigerator that is marked up from ₹20,000 to ₹22,000?

If a student scores 80 marks in his first test and 96 marks in the second test, find the percentage increase.

A new bridge between two cities reduced the travel time from 40 minutes to 10 minutes. Find the percentage decrease in travel time.

Answer :

Let's go through each question step by step:

  1. What percent of 92 is 46?

    To find what percent one number is of another, you can use the formula:

    [tex]\text{Percentage} = \left( \frac{\text{Part}}{\text{Whole}} \right) \times 100[/tex]

    Here, the part is 46 and the whole is 92:

    [tex]\text{Percentage} = \left( \frac{46}{92} \right) \times 100 \approx 50\%[/tex]

  2. In a pack of 52 playing cards, find the percentage of spades.

    A standard deck has 4 suits: spades, hearts, diamonds, and clubs, each with 13 cards.

    [tex]\text{Percentage of spades} = \left( \frac{13}{52} \right) \times 100 = 25\%[/tex]

  3. Harish saves ₹900 out of a total monthly salary of ₹14,400. Find the percentage of his savings.

    [tex]\text{Savings percentage} = \left( \frac{900}{14400} \right) \times 100 \approx 6.25\%[/tex]

  4. Find the number which is 15% less than 300.

    To find a number reduced by a percentage, first find the percentage of the number and then subtract it:

    [tex]15\% \text{ of 300} = \left( \frac{15}{100} \right) \times 300 = 45[/tex]

    Therefore, the number which is 15% less than 300 is:

    [tex]300 - 45 = 255[/tex]

  5. Find the change in percent of the price of a refrigerator that is marked up from ₹20,000 to ₹22,000.

    First, find the amount of increase:

    [tex]\text{Increase} = 22,000 - 20,000 = 2,000[/tex]

    Then find the percentage change:

    [tex]\text{Percentage increase} = \left( \frac{2000}{20000} \right) \times 100 = 10\%[/tex]

  6. If a student scores 80 marks in his first test and 96 marks in the second test, find the percentage increase.

    First, find the increase in marks:

    [tex]\text{Increase} = 96 - 80 = 16[/tex]

    Then calculate the percentage increase based on the first score:

    [tex]\text{Percentage increase} = \left( \frac{16}{80} \right) \times 100 = 20\%[/tex]

  7. A new bridge between two cities reduced the travel time from 40 minutes to 10 minutes. Find the percentage decrease in travel time.

    Find the decrease in time:

    [tex]\text{Decrease} = 40 - 10 = 30 \text{ minutes}[/tex]

    Calculate the percentage decrease:

    [tex]\text{Percentage decrease} = \left( \frac{30}{40} \right) \times 100 = 75\%[/tex]

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