b. A company earns about Rs 288 million in six years. Approximately how much does the company earn in 1 month? How many more years would it take for the company to earn another Rs 576 million? Give an estimated answer.
here are 14 girls and 15 boys at a party. Four more boys arrived and 2 girls left. How many people are at the party now?
Answer (2)
The company's monthly earnings are calculated by dividing the annual earnings (Rs 288 million / 6 years = Rs 48 million/year) by 12, resulting in Rs 4 million per month.
The additional years required to earn Rs 576 million are found by dividing the additional earnings by the annual earnings (Rs 576 million / Rs 48 million/year), which equals 12 years.
The new number of boys at the party is calculated by adding the arriving boys to the initial number of boys (15 + 4 = 19).
The total number of people at the party is the sum of the new number of boys and the new number of girls (19 + (14 - 2) = 31), so the final answer is 31 .
Explanation
Understanding the Problem We are given that a company earns Rs 288 million in 6 years. We need to find the approximate earnings in 1 month and how many more years it would take to earn another Rs 576 million. We also know that there are initially 14 girls and 15 boys at a party, 4 more boys arrive, and 2 girls leave. We need to find the total number of people at the party now.
Calculating Annual Earnings First, let's calculate the company's annual earnings. We divide the total earnings by the number of years: Annual earnings = Number of years Total earnings = 6 288 million = 48 million So, the company earns Rs 48 million per year.
Calculating Monthly Earnings Next, let's calculate the company's monthly earnings. We divide the annual earnings by 12: Monthly earnings = 12 Annual earnings = 12 48 million = 4 million Therefore, the company earns approximately Rs 4 million per month.
Calculating Additional Years Now, let's calculate how many more years it would take to earn an additional Rs 576 million. We divide the additional earnings by the annual earnings: Additional years = Annual earnings Additional earnings = 48 million 576 million = 12 years So, it would take 12 more years to earn another Rs 576 million.
Calculating New Number of Boys Now, let's calculate the new number of boys at the party. We add the number of arriving boys to the initial number of boys: New number of boys = Initial number of boys + Arriving boys = 15 + 4 = 19 So, there are now 19 boys at the party.
Calculating New Number of Girls Next, let's calculate the new number of girls at the party. We subtract the number of leaving girls from the initial number of girls: New number of girls = Initial number of girls − Leaving girls = 14 − 2 = 12 So, there are now 12 girls at the party.
Calculating Total Number of People Finally, let's calculate the total number of people at the party. We add the new number of boys and the new number of girls: Total people = New number of boys + New number of girls = 19 + 12 = 31 Therefore, there are now 31 people at the party.
Final Answer In summary, the company earns approximately Rs 4 million per month, it would take 12 more years to earn another Rs 576 million, and there are now 31 people at the party.
Examples
Understanding earnings and party attendance can be useful in various real-life scenarios. For example, estimating a company's monthly income helps in budgeting and financial planning. Similarly, tracking changes in attendance at an event helps in managing resources and ensuring adequate facilities for everyone. These calculations are fundamental in business management and event planning.
The company earns approximately Rs 4 million per month and it would take 12 more years to earn another Rs 576 million. Following the changes at the party, there are now 31 people in total at the event. Hence, the answers are Rs 4 million and 31 people.
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