Question Bank – Module I

Arithmetic Basics

9. Combined, Megan and Kelly worked 60 hours. Kelly worked twice as many hours as Megan.
How many hours did they each work?
10. Jamal invites 15 people to his birthday party and orders enough cupcakes so that everyone
(himself included) will get two cupcakes. How many cupcakes can everyone have if only 7
friends show up to Jamal's party?
11. Michael and Tom are brothers. Their combined age is 20, and Tom is 4 years older than
Michael. What are Michael and Tom's ages?
12. The sum of two numbers is 128. The first number is 18 more than the second number. What
are the two numbers?
13. The sum of the digits of a two-digit number is 11. If we interchange the digits then the new
number formed is 45 less than the original. Find the original number.
14. A 2-digit number is 10 times the sum of its digits. The tens digit is 2 greater than the unit digit.
Find the number.
15. The sum of the digits of a 2-digit number is 14. If 18 is added to the number, the result is the
number with its digits reversed. Find the original number.
16. If the digits of a two-digit number are interchanged, the number so formed is 18 more than the
original number. The sum of digits is 8. What is the thrice value of original number?
17. The sum of three consecutive even numbers is 96. What is the difference between 1/3 of the
lowest one and twice that of the middle number?
18. The sum of three consecutive numbers is 27. What is the square of the middle number?
19. The monthly incomes of A and B are in the ratio 8:7 and their expenditures are in the ratio
19:16. If each saves ₹ 5000 per month, find the monthly income of each.
20. Distribute a sum of Rs. 500 among A, B and C so that B gets Rs. 60 more than half the share of A
and C gets Rs. 90 more than one fourth of the share of A.
21. A labourer was employed on the condition that he will get Rs. 150 for the day he works and
will be fined Rs. 25 for the day he is absent. After 60 days he got Rs. 7600 only. For how many
days did he work?
22. Rs. 1550 were invested in two firms A and B. The firm A gives 8% interest annually and firm
B gives 5% interest annually. The total yearly interest is Rs. 100. How much was invested in each
firm?

Percentages in Business Contexts

1. Salary of Pawan is Rs.15000 and Kalyan is Rs.20,000. Pavan’s Salary is what percent of
Kalyan’s?

2. Salary of Mahesh is Rs.8000 and Babu’s is Rs.12000. Babu’s Salary is what percent greater
than Mahesh’s?

3. Salary of “Ram” is Rs.15000 and “Charan” is Rs.20,000. Ram’s salary is what percent
lesser than Charan’s?

4. In an election between two candidates, the first candidate got 60% of the votes polled and
won by a majority of 25,000 votes over the second candidate. Find the total number of
votes polled.

5. The prices of a car increased by 20%. If the increased price of the car is Rs. 6,00,000, find
the original price of the car.

6. To pass an exam of 250 marks, a candidate should obtain 40% marks. Raj scores 10% more
than the passing marks. Find the percent of marks scored by Raj.
 7. A batsman scored 110 runs which included 3 boundaries and 8 sixes. What percent of his
total score did he make by running between the wickets?

8. Two students appeared at an examination. One of them secured 9 marks more than the
other and his marks was 56% of the sum of their marks. The marks obtained by them are:

9. Three candidates contested an election and received 1136, 7636 and 11628 votes
respectively. What percentage of the total votes did the winning candidate get?

10. Two tailors X and Y are paid a total of Rs. 550 per week by their employer. If X is paid 120
percent of the sum paid to Y, how much is Y paid per week?

11. Gauri went to the stationers and bought things worth Rs. 25, out of which 30 paise went on
sales tax on taxable purchases. If the tax rate was 6%, then what was the cost of the tax
free items?

Profit and Loss

1. An article is sold for Rs 2400 at a profit of 25 %. What would have been the actual profit
or loss if it had been sold at Rs 1800?

2. Toffees are brought at 2 for a rupee and sold at 5 for Rs. 3. Find the gain or loss percent.

3. A cloth merchant bought 35 shirts, each at a price of Rs 280. He sold each of them for Rs.
308. Find his percentage profit.

4. A sells a bicycle to B at a profit of 20% and B sells it to C at a profit of 25%. If C pays

`225 for it, what did A pay for it.
 5. After allowing a discount of 12% on the marked price of an article, it is sold for `880. Find
its marked price.

6. If the C.P. of 6 articles is equal to the S.P. of 4 articles. Find the gain per cent.

7. A dishonest dealer professes to sell his goods at cost price, but he uses a weight of 960 g
for the kg weight. Find his gain per cent.

8. Mark brought 20 dozen notebooks for Rs. 156 per dozen. He sold 8 dozen of them at 10%
gain and the remaining 12 dozen at 20% gain. What is his % in the whole transaction?

9. If the selling price of an article is 1 of its cost price find the gain %.

10. A man sold a table for Rs. 2250 and gained th of its cost price. Find (i) the cost of the
table. (ii) The gain % earned by the man.

Simple Interest and Compound Interest

1. If Maria borrows a sum of $46,500 for a period of 21 months at 20% per annum, then find
the simple interest that she will need to pay.

2. How much money was invested at 5% annual simple interest for 4 years to earn $3500?
3. Robert purchased a car worth $48,000. He borrowed the money from the bank at 10% per
annum for a period of 4 years. How much amount he has to pay after the period.

4. If you want to earn $1000 of simple interest at the rate of 7% in a span of 5 months, how
much money must you invest?

5. If you place $2,000 into an investment account earning 3% simple interest. How many
months does it take for you to have $2,025 in your account?

6. A $3,500 investment earned $70 of interest over the course of six months. What annual
rate of simple interest did the investment earn?

1. If you invest $100 for 3 years at 10% interest compounded yearly, how much will you have
at the end of the three years?

2. James is investing $15,000 for 10 years at an interest rate of 6% compounded yearly. How
much will he get after 10 years?

3. A fireman invested $40,000 in a retirement account for 2 years. The interest rate is 6%,
compounded monthly. What will his final balance be?

4. Calculate the amount for the investment of $ 3,000 after 5 years with 4% interest
compounded yearly.

5. The Compound interest on a sum of Rs 625 in 2 years is Rs 51. Find the rate of interest.

6. A sum of money is put on CI for 2 years at 20%. It would fetch Rs 482 more if the interest
is payable half yearly than if it were payable yearly. Find the sum.