Applying Percentages in Real-World Contexts

Question 1:
Scenario: A store is offering a 20% discount on a pair of shoes that originally cost Rs. 1500. Calculate the discounted price of the shoes.
Answer: To find the discounted price, we first need to calculate 20% of Rs. 1500.
20% of Rs. 1500 = (20/100) * 1500 = Rs. 300
Therefore, the discounted price of the shoes is Rs. 1500 - Rs. 300 = Rs. 1200.

Question 2:
Scenario: If a student scored 85% in a test out of 200 marks, how many marks did the student score?
Answer: To find the number of marks scored, we calculate 85% of 200.
85% of 200 = (85/100) * 200 = 170 marks.
Therefore, the student scored 170 marks in the test.

Question 3:
Scenario: A population of a city increased by 15% from last year's population of 500,000. Calculate the current population of the city.
Answer: To find the current population, we first calculate 15% of 500,000.
15% of 500,000 = (15/100) * 500,000 = 75,000
The current population is 500,000 + 75,000 = 575,000.

Question 4:
Scenario: During a sale, a laptop is priced at Rs. 45,000 with a discount of 25%. Calculate the final price of the laptop after the discount.
Answer: To find the final price, we need to calculate 25% of Rs. 45,000.
25% of 45,000 = (25/100) * 45,000 = Rs. 11,250
The final price of the laptop after the discount is Rs. 45,000 - Rs. 11,250 = Rs. 33,750.

Question 5:
Scenario: An investment grew by 10% in a year, and the new value of the investment is Rs. 55,000. Calculate the initial value of the investment.
Answer: To find the initial value, we need to consider that the new value is 110% of the initial value (100% + 10% growth).
Let the initial value be x.
110% of x = Rs. 55,000
(110/100) * x = 55,000
x = 55,000 / 1.1 = Rs. 50,000
Therefore, the initial value of the investment was Rs. 50,000.

These questions will help you apply percentages in various real-world scenarios and improve your practical skills in using percentages effectively.