Solution of an Equation
Solution of an Equation: Overview
This topic covers concepts such as Simple Equations, Equations with Single Variable, Interchanging LHS & RHS in Simple Equations, Solving Equations, Formation of Equations from Their Solutions, etc.
Important Questions on Solution of an Equation
Express the following as an algebraic equation:
The sum of three times and is .
Express the following as an algebraic equation:
A number increased by is equal to .
The difference between the amount and the interest is ₹50,000. If the rate of interest is 4% p.a, then what is the interest paid per month.
Vimala borrowed ₹25,000 from her neighbour at the rate of 6% per annum, to buy a washing machine. She paid back the amount with interest in 730 days. How much extra money did she pay to her neighbour?
Priyanka’s father wanted to buy a computer for her. So, he borrowed ₹73,000 at 4 ½ % per annum for a period of 200 days. The extra money paid by Priyanka’s father was ₹_____.
Prajwal’s father borrowed ₹4,50,000 from his neighbour at 4.5% interest per annum, to buy a car for him. It took 2 years for him to repay the money. The half yearly interest paid by Prajwal’s father is ₹_____.
Anjana took a loan of $ {₹}$5,00,000 from the bank for her higher studies in U.S. The quarterly interest paid by Anjana is $ {₹}$_____.
Sharath invested his money online in a fixed deposit scheme. The interest that Sharath gets at the time of maturity is $ \text{₹}$_____.
Ravi Varma invested ₹85,000 in a special “tax saver" fixed deposit scheme. What is the interest amount paid by the bank at the time of maturity?
Basavaraju was a farmer. He took a loan of ₹85,000 at the rate of 4.6% per annum from the bank, to pay his daughter’s college fees. It took him 2 $ \frac{1}{2}$ years to clear his loan. The interest amount paid at the end of 2 $ \frac{1}{2}$ years is ₹_____.
Surya borrowed a sum of ₹75,000 from his colleague at the rate of 8% per annum, to buy some furniture. He paid the interest every quarter and the borrowed amount after a year. The total interest paid by Surya was ₹_____.
Sharma bought a Home theatre system for ₹32,500. He paid the amount in 12 installments over a period of 1 year at the rate of 5.82% per annum. How much extra money did he pay by the end of the year?
Rahul took a personal loan of ₹P, at the rate of interest R % per annum, for a period of T years. To calculate the simple interest Rahul must use the formula
Arrange the following in the descending order with respect to the value of interest obtained.
Time period = 200 days
|
Interest |
Principal (P) |
Rate of interest (R) in per annum |
|
I1 |
₹2,00,000 |
4.5% |
|
I2 |
₹2,50,000 |
5% |
|
I3 |
₹2,70,000 |
6 ½ % |
|
I4 |
₹3,00,000 |
5 ¾ % |
Rajeshwari had taken loans from 2 banks to buy an apartment. Look at her online loan applications. She paid more interest to Bank _____.
Anjali was looking at her fixed deposits receipts. Can you tell which of the fixed deposits earned her the lowest interest?
Feroz had 2 saving accounts to save money for his retirement. Details of his savings are as below.
|
Term (T) |
Scheme |
Principal |
Interest Rate(R) per annum |
|
2 years |
Savings account 1 |
₹6,00,000 |
9.5%
|
|
2 years |
Savings account 2 |
₹4,75,000 |
9.2%
|
At the end of 2 years, which savings account earned him better interest?
One day Pramod went to an electronics showroom to buy a Fridge. The catalogue of the Fridge, with the price details were as follows:
|
|
Interest rate (R) = 4% per year |
|
|
Fridge Name |
Principal(P) |
Term or period(T) |
|
Samsung |
₹18,000 |
200 days |
|
Whirlpool |
₹19,500 |
150 days |
|
Godrej |
₹20,000 |
300 days |
If Pramod wanted to buy a fridge which had the lowest interest to be paid, you would recommend the brand _____ .
(Note: Mention the brand name)
Sunitha had borrowed money from two of her neighbours to bear her mother’s medical expenses. Here are the loan details.
Whom did Sunitha pay more interest?
