Comparing Quantities quiz

The fraction 3/4 expressed as a percentage is:

25% of 480 is:

Discount is always calculated on the:

An article bought for Rs 400 is sold for Rs 460. The profit percent is:

The simple interest on Rs 2,000 at 5% per annum for 3 years is:

When interest is compounded half-yearly, the annual rate of interest is:

GST is charged on the:

The ratio of 50 paise to Rs 2 is:

The amount on Rs 1,000 at 10% per annum compounded annually for 2 years is:

The price of a pen rises from Rs 50 to Rs 60. The percentage increase is:

A student scored 42 marks out of 60 in a test. Find her percentage of marks. (2 marks)

The price of a cooler was Rs 2,400. It increased by 15%. Find the new price. (2 marks)

An almirah marked at Rs 840 is sold for Rs 714. Find the discount and the discount percent. (2 marks)

Meena buys a bag priced at Rs 600. If GST is charged at 5%, find the amount she pays. (2 marks)

Give two differences between simple interest and compound interest. (2 marks)

A watch is sold for Rs 1,380 at a profit of 15%. Find its cost price. (2 marks)

Write the formula for the amount when interest is compounded (i) annually (ii) half-yearly, explaining each symbol. (2 marks)

Why is compound interest more than simple interest for the same principal, rate and time when the time is more than one year? (2 marks)

A hair dryer costs Rs 1,180 including GST at 18%. Find its price before GST was added. (2 marks)

Out of 25 radios in a lot, 16% are found to be defective. How many radios are defective? (2 marks)

Find the amount and the compound interest on Rs 12,600 for 2 years at 10% per annum compounded annually. (3 marks)

Find the amount and compound interest on Rs 4,096 for 18 months at 12.5% per annum compounded half-yearly. (3 marks)

A count of bacteria in a laboratory was 5,06,000. The bacteria increase at the rate of 2.5% per hour. Find the number of bacteria at the end of 2 hours, to the nearest whole number. (3 marks)

Juhi sells a washing machine for Rs 13,500 and loses 20%. Find its cost price. At what price should she have sold it to gain 20%? (3 marks)

A scooter was bought for Rs 42,000. Its value depreciates at 8% per annum. Find its value after 1 year and after 2 years. (3 marks)

Read the passage and answer the questions. During a festival sale, an electronics shop offers 20% discount on headphones marked at Rs 2,500. GST at 18% is charged on the price after discount. (i) Find the discount and the sale price before GST. (ii) Find the GST and the final bill amount. (iii) A customer wants the final bill to be Rs 2,124. What discount percent on the marked price would make this possible? (5 marks)

Read the passage and answer the questions. Anita deposits Rs 20,000 in a bank at 8% per annum compounded annually for 2 years. Her brother lends the same amount to a friend at 8% per annum simple interest for 2 years. (i) Find the amount Anita receives after 2 years. (ii) Find the amount her brother receives after 2 years. (iii) Find the difference between the two interests and explain why it arises. (5 marks)

Read the passage and answer the questions. The population of a village was 20,000 in the year 2024. The panchayat records show that it increases at 5% every year. (i) Find the population in 2025. (ii) Find the population in 2026. (iii) If the population had instead decreased at 5% every year because of migration, what would it have been in 2026? (5 marks)

Read the passage and answer the questions. Rahul buys an old scooter for Rs 12,000. He spends Rs 3,000 on repairs and new tyres and then sells the scooter for Rs 16,500. (i) What is the actual cost price of the scooter for Rahul? (ii) Find his profit and profit percent. (iii) At what price should he sell it to earn a profit of 20%? (5 marks)

Read the passage and answer the questions. In a school of 1,200 students, a survey showed that 30% come by bus, 45% walk to school and the rest come by bicycle. (i) How many students come by bus and how many walk? (ii) What percentage of students come by bicycle and how many are they? (iii) If next year the number of bus users increases by 10%, how many students will come by bus? (5 marks)

Find the amount at the end of each year when Rs 10,000 is invested at 10% per annum compound interest for 3 years. Find the compound interest and the simple interest for 3 years at the same rate and their difference. Draw a bar graph comparing the amount under simple interest and under compound interest at the end of each year. (6 marks)

Show, by calculating simple interest year by year for 2 years, how the formula A = P(1 + R/100)^n is obtained. Use the formula to find the compound interest on Rs 8,000 at 5% per annum for 3 years compounded annually. (6 marks)

Draw a time line showing the conversion periods when interest is compounded half-yearly for one year. Find the compound interest on Rs 10,000 for 1 year at 8% per annum compounded half-yearly and compare it with the interest when compounded annually. Explain the reason for the difference. (6 marks)

Draw a flow diagram that shows marked price, discount, sale price, GST and bill amount. A sofa is marked at Rs 30,000. A discount of 12% is given and GST at 18% is charged on the sale price. Find the bill amount. Show that the bill amount is the same if GST is first added to the marked price and the discount is then applied, and explain why. (6 marks)

A dealer buys a fan for Rs 8,000 and a refrigerator for Rs 12,000. He sells the fan at a profit of 5% and the refrigerator at a loss of 10%. Find the selling price of each item, the total selling price and his overall profit or loss percent. Draw a double bar graph comparing the cost price and selling price of the two items. (6 marks)