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Comparing Quantities Worksheet

Fill in the blanks Type Questions

  1. In a T20 cricket match India batted in the 1st inning and the total runs on the board was 165. Runs scored by top four batsman are as follows:

    Numbers in brackets represents the number of balls played.
    The ratio of the runs scored by Gautam Gambhir to the runs scored by rest of the 10 batsmen is __________.

  2. As it started raining in the city, Pankaj bought new windcheaters one for him and one for his son Ankush. As 40 rupees left after buying the windcheater, he bought some snacks as well. Ankush wanted to know the price of the jackets and so looked at the bill. He found that 12% of sales tax was also included in the bill.


    If Pankaj spent a total of Rs. 2000, then the value of x is __________.

  3. Tanya borrowed Rs. 75,000 from Vikram to invest in shares. Vikram gave her the money with the terms that she returns it within two years and pays 12% interest overall. Then the sum she will have to pay after 2 years is Rs. __________.

    Multiple Choice Questions

  4. During the monsoon, heavy rain is typical. A city recorded 143.01 mm rain in just 3 hours which is 90% of the total rain on a particular day. What is the ratio of the rain recorded in 3 hours to the rain recorded in a full day?
    (a) 10 : 11
    (b) 11.1 : 10.43
    (c) 20.43 : 22.7
    (d) 22 : 21

  5. While coming back from a market Kanan kept looking at the dress hanged in store near her tuition as she liked it very much.

    The list price of the dress was Rs. 340 however 20% discount was given. But, Kanan has Rs. 51 less and so she couldn’t buy it. What is the minimum discount that must be given on the list price so that she can buy the dress?
    (a) 10%
    (b) 15%
    (c) 28%
    (d) 35%

  6. A manufacturer sells 10 clothes to a dealer for Rs. 40,000. Dealer then sells these 10 clothes to the shopkeeper for Rs. 50,000. If the VAT applied at every stage is 5%, how much tax does the shopkeeper has to pay?
    (a) Rs. 4,000
    (b) Rs. 2,000
    (c) Rs. 2,500
    (d) Rs. 500

  7. Rahul has completed his graduation and his father Suresh wants him to enroll in MBA. Rahul has passed the test and was selected for MBA but Suresh does not have sufficient money to pay the fees. He then borrowed a loan from the bank. The bank provides two types of loans:
    Type A: Where the interest will be calculated on the same principal amount.
    Type B: Where the interest will be calculated on the amount of the previous year.
    State the type of interest that will be beneficial for Suresh along with the reason
    (a) Type A as it is simple interest
    (b) Type B as it is simple interest
    (c) Type A as it is compound interest
    (d) Type B as it is compound interest

  8. Suman needs a new laptop because the old one stopped working. But she is lacking by Rs. 50,000. So, she kept one of her jewellery at the jewellery shop (named “Jewelry”) as collateral for a Rs. 50,000 loan with 15% annual interest.

    Time given by the jeweller to pay the money is 2 years. How much would Suman be required to pay at the end of 2 years if simple interest was applied?
    (a) Rs. 50000
    (b) Rs. 55000
    (c) Rs. 60000
    (d) Rs. 65000

  9. Number of pieces cut by a machine increases at the rate of 10% per hour. If we take the initial count as 3000 and use simple interest formula, we can get the number of pieces cut after 5 hours. Which of the following formula can be used to calculate the number of pieces cut after n hours.
    (a) begin mathsize 12px style straight A subscript straight n equals 3000 open parentheses 1 plus 10 over 100 close parentheses to the power of straight n end style
    (b) begin mathsize 12px style straight A subscript straight n equals fraction numerator Pn cross times straight R over denominator 100 end fraction end style
    (c) begin mathsize 12px style straight A subscript straight n equals open parentheses 1 plus 10 over 100 close parentheses to the power of straight n end style
    (d) An = Pn × R

  10. Madan is highly worried about her daughter's academic progress. As her daughter would pass 12th in the next 3 years, he deposited Rs. 50,000 in the post office for three years in order to secure his daughter's admission to a reputable university. The post office gives him interest at the rate of 7% compound yearly. Use simple interest formula to find the amount he will get after 3 years. If he deposits the amount for n years, which of the following expression would give the amount received at the end of n years?
    (a) begin mathsize 12px style straight A subscript straight n space equals space 5000 space open parentheses 1 plus 7 over 100 close parentheses to the power of straight n end style
    (b) begin mathsize 12px style straight A subscript straight n space equals space fraction numerator straight P subscript straight n cross times straight R over denominator 100 end fraction end style
    (c) begin mathsize 12px style straight A subscript straight n space equals space open parentheses 1 plus 7 over 100 close parentheses to the power of straight n end style
    (d) An = Pn × R

  11. A school which is 500 metre from Nitya’s house don’t have any stationery shop with in 1km. So, her father opens a new stationery shop near his house and to fulfil the cost, he takes a loan of Rs. 126000 from the bank for 2 years at 10% per annum compounded annually. If he pays Rs. 100000 in 1 year, how much more does he need to pay at the end of 2 years?
    (a) Rs. 100000
    (b) Rs. 84040
    (c) Rs. 52460
    (d) Rs. 26000

  12. Number of employees who spent more than 5 years in a company decreases at the rate of 5% per year and number of employees with less than 5 years increases at the rate of 10% per year. The initial counts are as follows:

    What is the number of employees after 2 years?
    (a) 108000
    (b) 245000
    (c) 353000
    (d) 390290

  13. Nina did a shopping for the entire month and relooked at the bills. She found that there is a change in price in every item over last 1 year but the change in olive oil’s price is huge compare to other items. If the price increases by 5% every 4 months compare to the previous months, what would be the final price (in nearest integer) after 12 months when the initial price was Rs. 510?
    (a) Rs. 530
    (b) Rs. 550
    (c) Rs. 590
    (d) Rs. 630

    Subjective Questions

  14. Harry receives 40 rupees as pocket money each day. He is quite good at managing his money and saves 80% of his income.

    He wanted a new comic book with a listed price of Rs. 1000, but he was unable to fulfil his demand within a month. Will a 4% discount allow him to purchase the book in a month? (Take number of days in a month = 30)

  15. Sarah along with her family went to their farmhouse which is located in Goa. They spent a week and then came back. They purchased 10 kg of cashews on their way back, 5 kg for themselves and another 5 kg for Sarah's uncle. 

    The total cost of cashews is Rs. 9,200 including a GST of 15%. How much Sarah’s uncle has to pay if GST is not taken?

  16. Akash's parents relocated to his home and will now reside there. They found it challenging to go on a two-wheeler, so Akash purchased a new vehicle. He made a cash payment of 2 lakhs and then borrowed the rest 7 lakhs.

    The loan taken for 5 years at 8% interest compounded annually. Which type of interest will be applicable here? Also, clarify whether he will be required to pay the same interest amount if the interest is calculated directly.

  17. Ankit is opening a new shoe shop in the market near his house. He borrowed some cash from her sister Kriti and utilised some of his savings, but he still needs Rs. 1,20,000. He therefore took out a two-year loan from a bank for Rs. 1,20,000 at a cost of 5% per year. Calculate the simple interest to determine how much Ankit will have to pay after two years.

  18. Maya believes she is wasting her money on unnecessary items, so she creates a fixed deposit account for Rs. 1,35,000 for a two-year term in order to save money. The rate of interest offered by the bank are as follows:

    Find the sum assured and also, the interest paid by the bank.

  19. As the consumption of junk foods in the new generation people is more compare to old once. While doing a survey Raj found that the consumption of junk food in their building increases by 10% every year. If the initial consumption was 60 kg, what would be the consumption after 5 years?

  20. Sanya's uncle purchased a new phone two years ago and discovered that it functions just as well today as it did then. Sanya looked up the cost because she wanted to purchase the same cell phone. The cost depreciated at an annual rate of 8%. If her uncle purchased the phone for Rs. 45,000, how much will Sanya pay for it?

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