Maths-

General

Easy

Question

# Find the sum which will amount to Rs. 364.80 at 3 % per annum in 8 years at simple interest

Hint:

### Use the formula of total amount and proceed.

## The correct answer is: Rs 285.

### Complete step by step solution:

Let the sum of money = P

We know the formula for total amount = A = P + SI

where A is the total amount, T is the principal amount and R is simple interest.

We know that

where P is Principal amount, T is number of years and R is rate of interest

So, …(i)

Here, we have

On substituting these values in (i), we get

On further simplifications, we get

Hence the sum of money P = Rs 285.

### Related Questions to study

Maths-

### The simple interest on a sum of money at the end of 3 years is of the sum itself. What rate percent was charged?

Complete step by step solution:

Let the sum of money = P

It is given that SI is times the sum itself = P.

We calculate simple interest by the formula,

where P is Principal amount, T is number of years and R is rate of interest

Here, we have

On substituting the known values we get,

On further simplifications, we have .

Let the sum of money = P

It is given that SI is times the sum itself = P.

We calculate simple interest by the formula,

where P is Principal amount, T is number of years and R is rate of interest

Here, we have

On substituting the known values we get,

On further simplifications, we have .

### The simple interest on a sum of money at the end of 3 years is of the sum itself. What rate percent was charged?

Maths-General

Complete step by step solution:

Let the sum of money = P

It is given that SI is times the sum itself = P.

We calculate simple interest by the formula,

where P is Principal amount, T is number of years and R is rate of interest

Here, we have

On substituting the known values we get,

On further simplifications, we have .

Let the sum of money = P

It is given that SI is times the sum itself = P.

We calculate simple interest by the formula,

where P is Principal amount, T is number of years and R is rate of interest

Here, we have

On substituting the known values we get,

On further simplifications, we have .

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### A theatre company uses the revenue function dollars. The cost functions of the production . What ticket price is needed for the theatre to break even?

### A theatre company uses the revenue function dollars. The cost functions of the production . What ticket price is needed for the theatre to break even?

Maths-General

Maths-

### Rewrite the equation as a system of equations, and then use a graph to solve.

Hint:

A graph is a geometrical representation of an equation or an expression. It can be used to find solutions of equation.

We are asked to rewrite the equation as system of equations and graph them to solve it.

Step 1 of 3:

Equate each side of the equation to a new variable, y:

Here we get two points where both the graphs intersect each other. The points are (-8, 0) and (-3, -7.5). Thus, we can say that the solutions to the given set of equation are the points of intersection.

Note:

When you graph a quadratic equation find three coordinate points to get the curve. But when it is a linear equation, just two points would give the path of the line.

A graph is a geometrical representation of an equation or an expression. It can be used to find solutions of equation.

We are asked to rewrite the equation as system of equations and graph them to solve it.

Step 1 of 3:

Equate each side of the equation to a new variable, y:

Here we get two points where both the graphs intersect each other. The points are (-8, 0) and (-3, -7.5). Thus, we can say that the solutions to the given set of equation are the points of intersection.

Note:

When you graph a quadratic equation find three coordinate points to get the curve. But when it is a linear equation, just two points would give the path of the line.

### Rewrite the equation as a system of equations, and then use a graph to solve.

Maths-General

Hint:

A graph is a geometrical representation of an equation or an expression. It can be used to find solutions of equation.

We are asked to rewrite the equation as system of equations and graph them to solve it.

Step 1 of 3:

Equate each side of the equation to a new variable, y:

Here we get two points where both the graphs intersect each other. The points are (-8, 0) and (-3, -7.5). Thus, we can say that the solutions to the given set of equation are the points of intersection.

Note:

When you graph a quadratic equation find three coordinate points to get the curve. But when it is a linear equation, just two points would give the path of the line.

A graph is a geometrical representation of an equation or an expression. It can be used to find solutions of equation.

We are asked to rewrite the equation as system of equations and graph them to solve it.

Step 1 of 3:

Equate each side of the equation to a new variable, y:

Here we get two points where both the graphs intersect each other. The points are (-8, 0) and (-3, -7.5). Thus, we can say that the solutions to the given set of equation are the points of intersection.

Note:

When you graph a quadratic equation find three coordinate points to get the curve. But when it is a linear equation, just two points would give the path of the line.

Maths-

### Rewrite the equation as a system of equations, and then use a graph to solve.

Thus, the solutions are (0, 0) and (1, -14)

Step 3 of 3:

Plot the points and join them to get the respective graph.

Here, there is just one point where both the graphs intersect each other. The point is (4, -8). Thus, we can say that the point is the solution of the set of equation.

Note:

When you graph a quadratic equation find three coordinate points to get the curve. But when it is a linear equation, just two points would give the path of the line.

### Rewrite the equation as a system of equations, and then use a graph to solve.

Maths-General

Thus, the solutions are (0, 0) and (1, -14)

Step 3 of 3:

Plot the points and join them to get the respective graph.

Here, there is just one point where both the graphs intersect each other. The point is (4, -8). Thus, we can say that the point is the solution of the set of equation.

Note:

When you graph a quadratic equation find three coordinate points to get the curve. But when it is a linear equation, just two points would give the path of the line.

Maths-

### Find the simple interest on Rs. 6500 at 14% per annum for 73 days?

Complete step by step solution:

We calculate simple interest by the formula,

where P is Principal amount, T is number of years and R is rate of interest

Here, we have

On substituting the known values we get,

On further simplifications, we have rupees.

Thus, SI = 182 Rupees.

We calculate simple interest by the formula,

where P is Principal amount, T is number of years and R is rate of interest

Here, we have

On substituting the known values we get,

On further simplifications, we have rupees.

Thus, SI = 182 Rupees.

### Find the simple interest on Rs. 6500 at 14% per annum for 73 days?

Maths-General

Complete step by step solution:

We calculate simple interest by the formula,

where P is Principal amount, T is number of years and R is rate of interest

Here, we have

On substituting the known values we get,

On further simplifications, we have rupees.

Thus, SI = 182 Rupees.

We calculate simple interest by the formula,

where P is Principal amount, T is number of years and R is rate of interest

Here, we have

On substituting the known values we get,

On further simplifications, we have rupees.

Thus, SI = 182 Rupees.

Maths-

### Rewrite the equation as a system of equations, and then use a graph to solve.

Here, they graphs intersect at two point; (-1 -1) and (0.5, 2). This means that the solutions of the system of equation are (-1 -1) and (0.5, 2).

Note:

Solutions of a set of equation can be found by graphing the equations and finding the intersecting points. The points where they intersect are the solutions.

### Rewrite the equation as a system of equations, and then use a graph to solve.

Maths-General