Simple Interest & Compound Interest

Q.

Salaries of Ravi and Sumit are in the ratio 2:3. If the salary of each is increased by Rs. 4000, the new ratio becomes 40:57. What is Sumit's salary?

1. 34000

2. 36000

3. 38000

4. None

5. 40000

Q. Adam borrowed some money at the rate of 6% p.a. for the first two years, at the rate of 9% p.a. for the next three years, and at the rate of 14% p.a. for the period beyond five years. If he pays a total interest of Rs 11, 400 at the end of nine-year, how much money did he borrow?

1. Rs 10, 000
2. Rs 12, 000
3. Rs 14, 000
4. Rs 16, 000

Q. A person lent out some money for 1 year at 6% per annum simple interest and after 18 months, he again lent out the same money at a simple interest of 24% per annum. In both the cases, he got Rs 4704. Which of these could be the amount that was lent out in each case if interest is paid half-yearly?

1. Rs 4000
2. Rs 4400
3. Rs 4200
4. Rs 3600

Q.

What annual installment will discharge a debt of Rs$1092$ due in $3$years at $12\%$ simple interest ?

Q.

The difference between the simple interest on a certain sum at the rate of 10% per annum for 2 years and compound interest which is compounded every 6 months is Rs.124.05.What is the principal sum?

1. Rs.8000

2. Rs.9000

3. Rs.12000

4. Rs.6000

5. Rs.7000

Q.

The simple interest on a certain sum of money for $3$ years at $8\%$ per annum is half the compound interest on Rs.4000 for 2 years at 10% per annum. The sum placed on the simple interest is

1. $Rs.1750$

2. $Rs.1650$

3. $Rs.1550$

4. $Rs.1850$

5. $Rs.1950$

Q. A jar was full of honey. A person used to draw out 20% of the honey from the jar and replaced it with sugar solution. He has repeated the same process 4 times and thus there was only 512 gm of honey left in the jar, the rest part of the jar was fitted with the sugar solution. The initial amount of honey in the jar was:

1. 1.5 kg
2. none of these
3. 1.25 kg
4. 1 kg

Q.

The difference between simple and compound interests compounded annually on a certain sum of money for 2 years at 4% per annum is Re.1. The sum (in Rs.) is:

1. 625

2. 638

3. 640

4. 630

Q. Arun started a business investing Rs 38000. After 5 months Bakul joined him with a capital of Rs 55000. At the end of the year, the total profit was Rs 22000. What is the approximate difference between the share of profits of Arun and Bakul?

1. Rs 1192
2. Rs 1856
3. Rs 1007
4. Rs 1928
5. Rs 1568

Q.

How much water must be added to 60 litres of milk at 1.5 litres for Rs.20 so as to have a mixture worth Rs.10$\frac{2}{3}$ a litre?

1. 12

2. 10

3. 18

4. 15

5. None

Q.

Albert buys 4 horses and 9 cows for Rs. 13, 400. If he sells the horses at 10% profit and the cows at 20% profit, then he earns a total profit of Rs. 1880. The cost of a horse is:

1. Rs. 1000

2. Rs. 2500

3. Rs. 3000

4. Rs. 3500

5. Rs. 2000

Q. There is 60% increase in an amount in 6 years at simple interest. What will be the compound interest of Rs. 12, 000 after 3 years at the same rate?

1. 2360
2. 3972
3. 3890
4. None of these

Q.

The least number of complete years in which a sum of money put out at 20% compound interest will be more than doubled is

1. 5

2. 3

3. 4

4. 6

Q. I got an annual income of Rs 688.25 from Rs 10, 000 invested partly at the rate 8% per annum and partly by 5% per annum at the SI. How much of my money is invested at the rate of 5%?

1. Rs 3725
2. Rs 4225
3. Rs 4800
4. Rs 5000

Q. In what ratio must water be added to spirit to gain 10% by selling it at the cost price?

1. 1 : 5
2. 1 : 11
3. 1 : 10
4. 1 : 9
5. None of the above

Q.

Karan invested money in two schemes A and B offering compound interest at 8% per annum compounded annually and 9% per annum compounded annually. If the total amount of interest accrued through two schemes together in two years was Rs.4818.30 and the total amount invested was Rs.27, 000, what was the amount invested in Scheme A?

1. Rs.13000

2. Rs.14000

3. Rs.15000

4. Rs.16000

5. Rs.12000

Q.

The ratio between the S.P and C.P of that article is 7: 5. What is the ratio between the profit and the cost price of that article?

1. 2 : 7

2. 5 : 2

3. Data inadequate

4. 7 : 2

5. None of these

Q.

A person invested some amount at the rate of 12% simple interest and the remaining at 10%. He received yearly an interest of Rs 130. Had he interchanged the amounts invested, he would have received an interest of Rs 134. How much money did he invest at different rates?

1. None of these

2. Rs 500 at the rate of 10%, Rs 800 at the rate of 12%

3. Rs 700 at the rate of 10%, Rs 600 at the rate of 12%

4. Rs 800 at the rate of 10%, Rs 400 at the rate of 12%

5. Rs 700 at the rate of 10%, Rs 500 at the rate of 12%

Q. At compound interest, if a certain sum of money doubles in n years, then the amount will be four fold in :

1. 2n years
2. 4n years
3. $n^2$ years
4. $2n^2$ years

Q. If the simple interest on a certain sum of money after, $6\frac{1}{4}$ Years is $\frac{3}{8}$ of the principal, then the rate of interest per annum is:

1. None of these
2. 4%
3. 5%
4. 6%

Q.

Out of a total amount of Rs.4740, B receives 20% more than A and 25% more than C. What is B's share?

1. Rs.1080

2. Rs.1800

3. Rs.1440

4. Rs.1500

5. Rs.960

Q. The difference between simple interest and compound interest compounded annually on a certain sum of money for 2 years at 4% per annum is Re. 1. The sum (in Rs.) is ___

Q.

If Manohar pays an interest of $\mathrm{Rs}750\mathrm{for}2\mathrm{years}\mathrm{on}\mathrm{a}\mathrm{sum}\mathrm{of}\mathrm{Rs}4500$, find the rate of interest.

Q. Pankaj started a business investing Rs 42000. After 4 months Nitin joined him with a capital of Rs 57000. At the end of the year the total profit was Rs 26000. What is the difference between the share of profits of Pankaj and Nitin ?

1. Rs 1200
2. Rs 1400
3. Rs 1600
4. Rs 1800
5. None of these

Q. A sum of money at simple interest becomes four times in 24 years. What is the rate of interest per annum?

1. None of these
2. $13\frac{3}{4}\%$
3. $12\frac{1}{2}\%$
4. $11\frac{3}{4}\%$
5. $15\frac{4}{9}\%$

Q. Hans Kumar borrows Rs 7000 at simple interest from the village moneylender. At the end of 3 years, he again borrows Rs 3000 and closes his account after paying Rs 4615 as interest after 8 years from the time he made the first borrowing. Find the rate of interest.

1. 4.5%
2. 5.5%
3. 6.5%
4. 3.5%

Q. The compound interest on a certain sum for 2 years is Rs. 756 and simple interest is Rs. 720. Now, If the sum is invested such that the SI is Rs. 1296 and the number of years is equal to the rate percentage per year, then find the rate per cent:

1. 8
2. 7.5
3. 6
4. 4

Q. A started a business by investing Rs. 4200 and after 2 months B joined by investing Rs. 3000. At the end of 4 months from the start of the business, C joined with an investment of Rs. 6000. At the end of 10 months from the start of the business, A added an additional amount of Rs. 1800. If A's share in the annual profit was Rs. 1620, what was the total annual profit?

1. 4180
2. 3960
3. 3080
4. 4070
5. 3320

Q. Rs. 5200 was partly invested in Scheme A at 10% pa CI for 2 years and partly invested in Scheme B at 10% pa SI for 4 years. Both the schemes earn equal interests. How much was invested in Scheme A?

1. Rs. 1790
2. Rs. 2200
3. Rs. 3410
4. Rs. 2670
5. None of these

Q. Sanjay purchased a hotel worth Rs. 10 lakh and Barkha purchased a car worth Rs. 16 lakh. The value of hotel every year increases by 20% of the previous value and the value of car every year depreciates by 25%. What is the difference between the price of hotel and car after 3 years?

1. Rs. 925000
2. remains constant
3. can't be determined
4. Rs. 10, 53, 000