Have a query? Ask a Tutor!!

Access to best educators and exclusive paper discussions

Can’t find what you’re looking for?

Our tutors are from top schools around the world, and they are waiting for you 24/7, anytime, anywhere.

Homework- One to One Solutions
Understand concepts to solve better
Get your doubts solved instantly

Maths-

General

Easy

Question

Find the sum which will amount to Rs. 364.80 at 3 $1 half$ % per annum in 8 years at simple interest

hint 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 $S I equals fraction numerator P T R over denominator 100 end fraction$
where P is Principal amount, T is number of years and R is rate of interest
So, $A equals P plus fraction numerator P T R over denominator 100 end fraction$ …(i)
Here, we have $A equals 364.80 comma T equals 8 comma R equals 3 1 half equals 3.5 straight percent sign text and end text P equals ?$
On substituting these values in (i), we get $364.80 equals P plus fraction numerator p cross times 8 cross times 3.5 over denominator 100 end fraction$
On further simplifications, we get $364.80 equals P plus.28 P$
$table attributes columnspacing 1em end attributes row cell not stretchy rightwards double arrow 1.28 P equals 364.80 end cell row cell not stretchy rightwards double arrow P equals R s 285 end cell end table$
Hence the sum of money P = Rs 285.

Related Questions to study

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

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

A theatre company uses the revenue function $R left parenthesis x right parenthesis equals negative 50 x squared plus 250 x$ dollars. The cost functions of the production $C left parenthesis x right parenthesis equals 450 minus 50 x$ . What ticket price is needed for the theatre to break even?

A theatre company uses the revenue function $R left parenthesis x right parenthesis equals negative 50 x squared plus 250 x$ dollars. The cost functions of the production $C left parenthesis x right parenthesis equals 450 minus 50 x$ . What ticket price is needed for the theatre to break even?

Rewrite the equation as a system of equations, and then use a graph to solve.
$0.5 x squared plus 4 x equals negative 12 minus 1.5 x$

Rewrite the equation as a system of equations, and then use a graph to solve.
$0.5 x squared plus 4 x equals negative 12 minus 1.5 x$

parallel

Rewrite the equation as a system of equations, and then use a graph to solve.
$x squared minus 6 x equals 2 x minus 16$

Rewrite the equation as a system of equations, and then use a graph to solve.
$x squared minus 6 x equals 2 x minus 16$

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

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

Rewrite the equation as a system of equations, and then use a graph to solve.
$2 x squared plus 3 x equals 2 x plus 1$

Rewrite the equation as a system of equations, and then use a graph to solve.
$2 x squared plus 3 x equals 2 x plus 1$

parallel

Rewrite the equation as a system of equations, and then use a graph to solve.
$4 x squared equals 2 x minus 5$

Rewrite the equation as a system of equations, and then use a graph to solve.
$4 x squared equals 2 x minus 5$

Find the simple interest on Rs. 8000 at 16 % per annum for 9 months?

Find the simple interest on Rs. 8000 at 16 % per annum for 9 months?

The simple interest on a sum of money at the end of 5 years is of the sum. Find the rate of interest?

The simple interest on a sum of money at the end of 5 years is of the sum. Find the rate of interest?

parallel

Find the solution of the system of equations.
$y equals 2 x squared plus 5 x minus 30$
y = 2x + 5

Find the solution of the system of equations.
$y equals 2 x squared plus 5 x minus 30$
y = 2x + 5

Format the sentence into converts Spanish grammar.
"My wife buys a new television for my father”

Format the sentence into converts Spanish grammar.
"My wife buys a new television for my father”

Find the helping Verbs and Action Verbs in the following sentences.

Find the helping Verbs and Action Verbs in the following sentences.

parallel

If Rs. 4000 amounts to Rs. 4500 in 2 years, find how much would it amount in 5 years at the same rate of interest?

If Rs. 4000 amounts to Rs. 4500 in 2 years, find how much would it amount in 5 years at the same rate of interest?

Find the solution of the system of equations.
$y equals 3 x squared plus 2 x plus 1$
$y equals 2 x plus 1$

Find the solution of the system of equations.
$y equals 3 x squared plus 2 x plus 1$
$y equals 2 x plus 1$

Find the solution of the system of equations.
$y equals x squared plus 8 x plus 30$
y = 5 - 2x

Find the solution of the system of equations.
$y equals x squared plus 8 x plus 30$
y = 5 - 2x

parallel

card img

With Turito Academy.

card img

With Turito Foundation.

card img

Get an Expert Advice From Turito.

Turito Academy

card img

With Turito Academy.

Test Prep

card img

With Turito Foundation.