Understanding Compound Interest Using Simple Interest (Rate Compounded Annually)

Q.

At what rate % per annum compound interest will Rs5000 amount to 5832 in2 years?

Q.

A certain sum amounts to $Rs.9440$ in $3$ years and to $Rs.10400$ in $5$ years. Find sum and rate percent.

Q.

Ratio 6:7 is equivalent to:

1. 26:27

2. 7:6

3. 12:14

4. 16:17

Q. After reading $\frac{7}{9}$ of a book, 40 pages are left. How many pages are there in the book?

Q. Mohit deposited a sum of ₹ 12000 in a Bank at a certain rate of interest for 2 years and earns an interest of ₹ 900. How much interest would be earned for a deposit of ₹ 15000 for the same period and at the same rate of interest?

Q. In a school, $\frac{5}{8}$ of the students are boys. If there are 240 girls, find the number of boys in the school.

Q.

If a sum of ₹ 20, 000 is borrowed by Heena for 2 years at an interest of 8% compounded annually, then the amount she has to pay at the end of 2 years is

1. ₹ 21, 238

2. ₹ 23, 238

3. ₹ 23, 328

4. ₹ 21, 328

Q.

The ratio of numbers 15 and 20 is:

1. 4:3

2. 3:4

3. 3:5

4. 5:3

Q. The population of a city increases by 30% every year. If the present population is 338000, then what was the population of the city 2 years ago?

Q.

The difference between the Simple interest received from two different banks on Rs 2000 for 2 years is Rs 30 , difference between their rates of interest is???

Q. The simple interest on a certain sum of money is 3/8 of the sum in 25/4 years. Find the rate percent charged.

Q.

A person lent out 16000 rupees on simple interest and the same sum on compound interest for 2years at 12 1/2%per annum. Find the ratio of the amounts received by him as interests after two years.

Q. In what time will the interest on a certain sum of money at 6% be 5/8 of itself

Q. A sum of money at compound interest becomes its n times in A years then at same rate of interest it will be its n^x times in A×x years. How A×x years came?

Q. Calculate the simple interest and compound interest for a principal of ₹ 25, 000 at the rate of 10% per annum for two years.

1. SI = ₹ 5, 250, CI = ₹ 5, 000
2. SI = ₹ 5, 000, CI = ₹ 5, 000
3. SI = ₹ 5, 250, CI = ₹ 5, 250
4. SI = ₹ 5, 000, CI = ₹ 5, 250

Q. While calculating compound interest, the principal amount doesn't change every year.

1. False
2. True

Q.

Dinesh borrowed ₹ 20, 000 for 2 years at 10% per annum compound interest. Calculate the interest paid by him for the second year.

1. ₹ 2000

2. ₹ 2100

3. ₹ 2400

4. ₹ 2200

Q.

If Satish borrows a sum of ₹ 15, 000 for 2 years at an interest of 15%, compounded annually, then the amount he has to pay at the end of 2 years is

1. ₹ 22, 522.5

2. ₹ 21, 522.5

3. ₹ 20, 522.5

4. ₹ 19, 837.5

Q.

The ratio of illiterate to literate people in a locality is 1: 19. The population of that locality is 64000. How many among these are literate? And how many are illiterate?

Q.

Find the difference between compound interest and simple interest on an amount of ₹ 1000 for 3 years at 10 % per annum.

1. ₹ 27

2. ₹ 31

3. ₹ 35

4. ₹ 42

Q.

If the interest is credited to your account every 3 months, then the interest is compounded ________

1. Yearly

2. Quarterly

3. Monthly basis

4. Half yearly

Q.

The milk and water ratio in 16 liter mixture is 5:3. The amount of milk to be added to make the ratio 2:1 is

1. 3 L

2. 5 L

3. 2 L

4. 4 L

Q.

The diameter of the sun is 1.4 × 10⁹ meters and that of the Earth is about 1.2768 × 10⁷meters. Find the approximate ratio of the diameter of the Sun to that of the Earth.

Q. At a cricket test match $\frac{2}{7}$ of the spectators were in a covered place while 15000 were in open. Find the total number of spectators.

Q.

If two numbers are in the ratio 3:5 and their difference is 48, then find the two numbers.

1. 82 and 120

2. 72 and 120

3. 78 and 130

4. 72 and 125

Q.

A principal of ₹40, 000 is compound annually at a rate of 10% for 2 years. What is the compound interest?

Is compound interest greater than the simple interest for the same rate and at the same time?

1. 48400, yes

2. 48000, yes

3. 47000, no

4. 48400, no

Q.

The ratio of the number of boys to the number of girls in a school is 14 : 15. There are 27 more girls than boys. How many girls are there in this school? How many boys?

Q. 12. Mrs. Puran Devi donated Rs 1, 00, 000 to a trust on the condition that interest earned will be used for awarding 3 scholarships of equal value every year. If donation earns 12% per annum, find the value of each scholarship.

Q. Compound interest is greater than the simple interest for the same time(2 years) and at the same rate of interest.

1. True
2. False

Q.

The simple interest on a certain sum for 6 years at 14% per annum is Rs. 470.40. The sum is ______ .

1. Rs. 530

2. Rs. 560

3. Rs. 510

4. Rs. 550