Question 1

A student scored 360 marks out of 500 in an examination. What percentage of marks did the student score?

Accepted Answer

Step 1: Use the formula: Percentage = (Marks obtained / Total marks) × 100. Step 2: Percentage = (360 / 500) × 100 = 72%. Therefore, the student scored 72%.

Question 2

A shopkeeper marks his goods at 40% above the cost price. If he gives a discount of 15% on the marked price, what is his profit percentage?

Accepted Answer

Step 1: Let Cost Price (CP) = 100. Step 2: Marked Price (MP) = CP + 40% of CP = 100 + 40 = 140. Step 3: Discount = 15% of MP = 15% of 140 = 21. Step 4: Selling Price (SP) = MP - Discount = 140 - 21 = 119. Step 5: Profit = SP - CP = 119 - 100 = 19. Step 6: Profit% = (Profit / CP) × 100 = (19 / 100) × 100 = 19%. Therefore, the profit percentage is 19%.

Question 3

The price of a commodity increased by 25% in January and then decreased by 20% in February. What is the net percentage change in the price at the end of February compared to the original price?

Accepted Answer

Step 1: Let the original price = 100. Step 2: After 25% increase in January: 100 × 1.25 = 125. Step 3: After 20% decrease in February: 125 × 0.80 = 100. Step 4: Net change = (100 - 100) / 100 × 100 = 0%. Therefore, the net percentage change is 0% — the price returns to the original value.

Question 4

The population of a city was 8,00,000 in 2020. It increased by 15% in 2021 and decreased by 10% in 2022. In 2023, it again increased by 20%. What is the population of the city at the end of 2023?

Accepted Answer

Step 1: Population after 2021 = 8,00,000 × 1.15 = 9,20,000. Step 2: Population after 2022 = 9,20,000 × 0.90 = 8,28,000. Step 3: Population after 2023 = 8,28,000 × 1.20 = 9,93,600. Therefore, the answer is 9,93,600.

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