Understanding Simple Interest (Changing Time)

Q.

Solve the following problems.

What sum will amount to Rs. 392 at the rate of 4% p.a in 3 years?

Q.

What rate gives Rs 280 as interest on a sum of Rs 56, 000 in 2 years?

Q. A sum of money lent on simple interest, becomes $\frac{7}{5}$ of itself in 4 years. Find the rate of interest per annum.

Q.

The simple interest on a certain sum for 3 years at 10% per annum is Rs 829.50 .Find the sum.

Q.

How much time will it take for ₹ 800 to yield a simple interest of ₹ 80 at $5\%$ per annum?

1. 4 years

2. 5 years

3. 2 years

4. 10 years

Q.

Find the simple interest, when:
(i) Principal $=Rs.2000$, Rate of Interest $=5\%$ per annum and Time $=5$ years.
(ii) Principal $=Rs.500$, Rate of Interest $=12.5\%$ per annum and Time $=4$ years.
(iii) Principal $=Rs.4500$, Rate of Interest $=4\%$ per annum and Time $=6$ months.
(iv) Principal $=Rs.12000$, Rate of Interest $=18\%$ per annum and Time $=4$ months.
(v) Principal $=Rs.1000$, Rate of Interest $=10\%$ per annum and Time $=73$ days.

Q.

Find the rate of interest.

Principal = Rs. 5, 000; time years; simple interest = Rs. 2, 025

Q.

Solve the following problems.

Hari took a loan of Rs. 6, 000 from a finance company at 18% p.a simple interest. If he repays both principal and interest after 3 years and 8 months, how much money will he pay?

Q.

If P = Rs 4000, R = 5% and T = 3 years then simple interest is:

1. Rs 600

2. Rs 550

3. Rs 650

4. Rs 500

Q.

What sum of money should be invested for 5 years at 8% per annum to on the same interest as rupees 3600 at 10% per annum for 4 years

Q. At what % per annum simple interest RS 100 will become RS 300 in 16 years?

Q.

Find the Principal.

Simple interest = Rs.1, 200; time = 3 years; rate of interest = 8% p.a

Q.

If a farmer paid rupees 2025 as interest over 3 years at 2% per annum to a money lender how much loan had the farmer taken

Q.

how long will it take Rs.100 double itself at 5% simple interest

Q.

Solve the following problems.

A farmer borrowed a sum of Rs. 10, 000 as loan from a co-operative society at 8% p.a simple interest. The government exempted 2% interest as famine relief. He returned the loan after 5 years. How much interest did he save?

Q.

What sum of money should be invested for $5$ years at $8\%$ p.a. to earn the same interest as $Rs.3600$ at $10\%$ p.a. for $4$ years.

Q. The simple interest on a sum of Rs.1500 at an interest rate of 4 percent for 1 year will be

1. Rs 60
2. Rs 70
3. Rs 80
4. Rs 90

Q. Ram benowed Rs . 10000 and returned Rs. 12000 after 2 years Find the rate of interest.

Q.

Find the rate of interest.

Principal = Rs. 10, 000; time = 2 years; amount = Rs 12, 000

Q.

Find the Principal.

Amount = Rs.3, 960; time = 4 years; rate of interest = 8% p.a

Q.

Solve the following problems.

What is the simple interest for Rs. 5, 500 at 5% p.a for 5 years if the amount is Rs. 6, 875?

Q.

If the principal is $Rs1500$ and rate of interest is $7\%$ $p.a$ , then the amount at the end of $5years$ is $Rs$ …………………. .

Q.

Find the Principal.

Amount = Rs. 15, 000; time = 2 years; rate of interest = 12½% p.a

Q.

Find the amount in the following cases.

	Principal	Rate of Interest	Time	Amount
1.	Rs. 12, 000	15% p.a	3 years 4 months	?
2.	Rs. 10, 000		219 days	?
3.	Rs. 600	10% p.a	5 months	?

Q.

Deepa invested a sum of money from March $2011$ to March $2016$ at the rate of $12\%$ p.a. If the interest received is $Rs.1620$, find the sum.

Q.

Rahul borrows a sum of Rs 10, 000 for 2 years at a rate of interest 4% per annum. Find his simple interest.

1. Rs 700

2. Rs 850

3. Rs 800

4. Rs 750

Q. Fill in the blanks.

(i) $P=\frac{100\times (......)}{R\times T}$
(ii) $R=\frac{100\times \mathrm{SI}}{(......)\times T}$
(iii) At (......)% per annum simple interest a sum doubles itself in 10 years.
(iv) At simple interest a sum becomes $\frac{6}{5}$ of itself in $2\frac{1}{2}$ years. The rate of interest is (......)% per annum.

Q.

Solve the following problems.

A certain sum amounts to Rs. 2, 870 in 2 years and Rs. 3, 280 in 3 years at S.I. Find the principal and the rate of interest.

Q. Mark (✓) against the correct answer
In how much time would the simple interest on a certain sum be 0.125 times the principal at 10% per annum?

(a) $1\frac{1}{4}$ years
(b) $1\frac{3}{4}$ years
(c) $2\frac{1}{4}$ years
(d) $2\frac{3}{4}$ years

Q.

Ramesh invests ₹ 12800 for three years at the rate of $10\%$ per annum . Find the sum due to Ramesh at the end of the first year.

1. ₹ 14000

2. ₹ 14080

3. ₹ 15060

4. ₹ 13090