At what rate percent per annum simple interest will a sum of money quadruple itself in 60 years?

Inhaltsverzeichnis Show

ML Aggarwal Solutions Class 8 Mathematics Solutions for Simple and Compound Interest Exercise 8.1 in Chapter 8 - Simple and Compound Interest
Correct option is D. 12.5%Let the sum be P, Rate of interest be R% and Time be 16 years (adsbygoogle = window.adsbygoogle || []).push({}); Therefore, Amount =3×P=3PHence, SI=A−P=3P−P=2P⇒SI=PRT100⇒2P=P×R×16100⇒R=2P×100P×16=12.5%
At what rate percent per annum simple interest will be a sum of money quadruple itself in 60 years?
At what rate percent per annum simple interest will a sum of money triples itself in 60 years?
At what rate percent per annum simple interest will a sum of money triples itself in 25 years?
At what percent per annum simple interest will a sum become three times of itself in 16 years?

Jump to

Simple and Compound Interest Exercise 8.1
Simple and Compound Interest Exercise 8.2
Simple and Compound Interest Exercise 8.3

Rational Numbers
Exponents and Powers
Squares and Square Roots
Cubes and Cube Roots
Playing with Numbers
Operation on sets Venn Diagrams
Percentage
Simple and Compound Interest
Direct and Inverse Variation
Algebraic Expressions and Identities
Factorisation
Linear Equations and Inequalities In one Variable
Understanding Quadrilaterals
Constructions of Quadrilaterals
Circle
Symmetry Reflection and Rotation
Visualising Solid Shapes
Mensuration
Data Handling

ML Aggarwal Solutions Class 8 Mathematics Solutions for Simple and Compound Interest Exercise 8.1 in Chapter 8 - Simple and Compound Interest

Question 7 Simple and Compound Interest Exercise 8.1

At a certain rate of simple interest Rs 4050 amounts to Rs 4576.50 in 2 years. At the same rate of simple interest, how much would Rs 1 lakh amount to in 3 years?

Answer:

Here,

P = Rs 40000

A = Rs 4576.50

T = 2 years

Interest = Amount – Principal

= Rs 4576.50 – Rs 4050

= Rs 526.50

Let the rate of simple interest = R% per annum

Then,

R = (I × 100) / (P × T)

= (526.50 × 100) / (4050 × 2) % p.a.

On further calculation, we get,

= (526.50 × 10) / (405 × 2) % p.a.

= 5265 / 810 % p.a.

We get,

= 6.5% p.a.

Now,

P = Rs 1 lakh

= Rs 100000

R = 6.5% p.a.

T = 3 years

I = (P × R × T) / 100

= Rs (100000 × 6.5 × 3) / 100

We get,

= RS 1000 × 6.5 × 3

= Rs 19500

Amount = Principal + Interest

= Rs 100000 + Rs 19500

= Rs 119500

Video transcript

hello everybody welcome to lido learning channel my name is rachina chaudhary and we have to solve this question question is at a certain at a certain rate of simple interest rupees 4050 amounts to 576.50 in two years at the same rate of simple interest how much would rupees one lakh amounts to in three years so in second case we have to find the amount because this is given principle 1 lakh is principle so they are asking how much would be this amounts to but we need to calculate first of all rate for this we cannot find out without rate and without calculating simple interest now first of all we can see that there is no simple interest given in first case so let's find out simple interest so simple interest is always amount minus principle so this we are using for case first so simple interest would be 4576 minus 4050 after simplification we have 526.50 so this is simple interest now we will use the simple interest to calculate rate now we know that the formula of rate is simple interest multiplied by 100 upon principal multiplied by time so we just have calculated interest which is 526.50 multiplied by 100 and in denominator we will write principal multiply by time so principle is four zero five zero and time is two years so we can simplify it and after simplification we would get six point five percent as the rate so now we have calculated rate from the first case and simple interest also now we can see in the second case it is written at the same rate of simple interest how much amount how much 1 lakh would amount to so in second case principal is 1 lakh and time is 3 years rate is six percent we have to find amount so to find this amount first of all we need to find the simple interest so simple interest would be this is case second so simple interest is principal into rate into time upon hundred so after further calculation we would have simple interest as rupees nineteen thousand and five hundred now but we have to find amount we know that amount is equal to principal plus interest so principal in this case is 1 lakh and interest is nineteen thousand five hundred so the final answer is one lakh nineteen thousand five hundred so this is the final answer i hope you understand the method see you in my next video don't forget to like share and subscribe lead to learning channel thank you for watching

Was This helpful?

Home

At which rate percent per annum simple interest will a sum triple itself in 16 years?a 12 %b 10.5 %c 11.5 %d 12.5 %

Question

Open in App

Solution