hamburger

Quantitative Notes on Simple Interest

By BYJU'S Exam Prep

Updated on: September 25th, 2023

Simple and Compound Interest is an important segment of the Arithmetic section under Quantitative Aptitude. In this article, we will discuss the concepts of Simple Interest and talk about how to solve and approach the questions based on this topic which will help you to approach the upcoming SSC Exams 2020-21.

Simple and Compound Interest is an important segment of the Arithmetic section under Quantitative Aptitude. In this article, we will discuss the concepts of Simple Interest and talk about how to solve and approach the questions based on this topic which will help you to approach the upcoming SSC Exams 2020-21.

Quantitative Notes on Simple Interest
\

\

Example 2: If the principal is 100 Rs. The difference of Simple Interest for 4yrs and 6yrs is Rs 8. Calculate the rate of simple interest.
Solution: In simple interest questions, interest always remains same for a year if the principal, rate of interest is constant for the same.
Let Interest for 4 yrs is I then interest for 6 yrs is (I+8)
interest for 2 yrs is Rs. 8
interest for 1 yr = 4
rate of interest = (4/100) × 100 = 4%
Example3: If the amount is (10/9) times of Principal and rate of interest and time both are numerically equal. Then, what is the rate of interest per annum?
Solution: Let Principal is P. Given, numerically R = T
Interest = Amount – principal
I = (10/9)P – P
I = P/9 (Interest is in the multiples of Principal)
Now, I =[(P×R×T)/100]
P/9 = (P× R× T)/100
R2 = 100/9 (using, R=T)
R = (10/3)%
We can also say the time period is (10/3)years.
Short approach: Whenever Interest is in multiple of Principal and Rate of Interest and Time period is equal.
\
Annual Instalments for Simple Interest:
Let’s discuss a real example to understand  instalment concepts:
A person deposit Rs.140 to the bank every year up to 5 years . The bank gives him 5% rate of interest simple annually. And at the end of 5 years he get total amount of Rs.770
So, 140 is the instalment, time is 5 years rate of interest is 5% and the amount or debt is Rs.770
This Instalment is also known as the annual payment. Debt is total amount, so don’t confuse between these two terms.
Installment =   where A = debt, r = rate of interest and t = time period
\
Example4: What annual payment will discharge a debt of Rs.848 in 4yrs at 4% per annum simple interest?

\In case if you forget formula then how to approach this question.
Let installment is X. There are 4 installments and rate of interest is also 4%
Debt (A) = four installments + (r%) × installments × (0+1+2+… (t-1))
So, 848 = 4X + (4%)(X)(0+1+2+3)
      848 = 4X+
      848 = 4X+
      848 = 424X/100
      X = 200
Some Important examples based on Simple Interest.
Example5: A sum amounts to Rs. 702 in 2 years and Rs. 783 in 3 years. Calculate the sum, rate of interest and the amount after 5 years?
Solution:
Amount for 2 years(A2) = 702
Amount for 3 years (A3)= 783
Interest for 1 year (I) = 783-702 = 81
So Sum = A2 – 2I = 702 – 2×81
              = 702-162 = 540
rate of interest = (81/540)×100
                             = 15%
Amount after 5 years = Sum+5I
                                    = 540+ 5×81
                                    = 945
Example6: A sum of money doubles itself in 3 yrs at a simple interest. In how many yrs will it amount to 8 times itself?
Solution: Doubles in 3 yrs
 3 times in 3× 2 = 6yrs
4 times in 3× 3 = 9yrs
8 times in 3× 7 = 21yrs
Example7: Atul and Vijay are friends. Atul borrowed a sum of Rs.400 at 5% per annum simple interest from Vijay. He returns the amount with interest after 2 yrs. Vijay returns to Atul 2% of the total amount returned. How much did Atul receive?
Solution: After 2 yrs, amount returned to Vijay = 400+ (400*5*2)/100 = Rs 440
Amount returned to Atul = 2% of 440 = 8.8
Example8: Rs.4000 is divided into two parts such that if one part be invested at 3% and the other at 5%, the annual interest from both the investments is Rs. 144. Find each part.
Solution: Let the amount lent at 3% rate be Rs.X, then amount lent at 5% rate is 4000-X
So, 3% of X + 5% of (4000-X) = 144
   5% of 4000 – 2% of X = 144
  200 – 2% of X = 144
  2% of X = 56
  X = (56/2)×100
 X = 2800
And 4000 -X = 1200.
How to solve this Question by Alligation Method:
First, we will calculate the net rate of interest for Rs. 144 on 4000
So, net rate = (144/4000)× 100 = 3.6%
Apply allegation:
\

 

SSC CGL

Our Apps Playstore
POPULAR EXAMS
SSC and Bank
Other Exams
GradeStack Learning Pvt. Ltd.Windsor IT Park, Tower - A, 2nd Floor, Sector 125, Noida, Uttar Pradesh 201303 help@byjusexamprep.com
Home Practice Test Series Premium