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3. Kavita borrows `25,000 at 12% p.a. for 3 years at simple interest and Savita borrows the same amount
for the same period at 10% compounded annually. Who pays more interest and by how much?
4. Nisha borrowed `1,25,000 from a bank. If the rate of interest is 8% per annum. Find the difference
in amounts she would be paying after 1 year 6 months if the interest is
(a) compounded annually (b) compounded half-yearly.

5. The population of a city was 2,00,000 at the end of year 2021. It increased at the rate of 5% p.a. Find
the population of the city at the end of the year 2024.
6. The population of a town was 3,64,500 in the year 2023. It increases at the rate of 8% p.a. What was
its population in the year 2021?
7. A car was purchased for `6,25,000. Its value depreciates at the rate of 12% p.a. What will be its value
after 2 years?
8. In a factory, the production of bikes increased from 20,000 to 26,620 in 3 years. Find the annual rate
of growth in production.
9. In what time will `10,000 amount to `12,100 at 10% per annum, compounded annually?
10. A certain sum of money amounts to `29160 in 2 years at the rate of 8% per annum compounded
annually. Find the sum.
11. The present value of the machinery is `16,000. If its value depreciates by 6% in the first year, 5% in
the second year and 4% in the third year, what will be its value after 3 years?

12. At what rate of compound interest per annum, compounded half-yearly, will `6500 become `7865
in 1 year?

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MAths connect
Anju loves delicious homemade creamy tomato soup and sweet corn soup prepared by her mother.
One day, she observes the labels of nutrition facts given on the sachets of 2 types of soup as shown below.
Cream of Tomato Sweet Corn
Nutrition Facts Nutrition Facts
Serving Size 1 cup (240 mL) Serving Size 1 cup (240 mL)
About 2 servings per Container About 2 servings per Container

Amount Per Serving Amount Per Serving
Calories 100 Calories from Fat 20 Calories 90 Calories from Fat 9
% Daily Value* % Daily Value*
Total Fat 2 g 3% Total Fat 2 g 2%
Saturated Fat-1.5 g 6% Saturated Fat- 0 g 0%
Cholesterol 10 mg 3% Cholesterol 0 mg 0%
Sodium 690 mg 29% Sodium 540 mg 22%
Total Carbohydrate 17g 6% Total Carbohydrate 17g 6%
Dietary Fibre 4 g 18% Dietary Fibre 3 grams 14%
Sugar 11 g Sugar 5 g
Protein 2 g Protein 3 g
Vitamin A 20% Vitamin C 20% Vitamin A 30% Vitamin C 10%
Calcium 0% Iron 8% Calcium 2% Iron 16%
*Per cent Daily Values are based on a 2,000-calorie diet. *Per cent Daily Values are based on a 2,000-calorie diet.
Use these labels to answer the given questions. (All the servings are based on a 2000-calorie diet.)
1. Calculate the ratio of calories from fat in sweet corn soup to the calories from fat in cream of tomato soup.
2. One serving of sweet corn soup contains 22% of the recommended daily value of sodium for a 2000-calorie
diet. What is the recommended daily value of sodium in milligrams? Express the answer up to 2 decimal places.
3. Find the increase per cent of protein consumed if the sweet corn soup is chosen over cream of tomato soup.

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