Maths-
General
Easy
Question
The simple interest on a certain sum for 3 ½ years at 12% per annum is Rs. 98 more than the simple interest on the same sum for 2 ½ years at 14% per annum. Find the sum.
Hint:
Equate both the cases and then find the sum.
The correct answer is: P=Rs 1400
Complete step by step solution:
Let the sum of money = P
Case Ι
Principal amount = P, Rate = 12% and time = 3.5 years
We know the formula of Interest I = 
,
where P is Principal amount, T is number of years and is rate of interest
On substituting the values, we get 
…(i)
Case Ⅱ
Principal amount = P, Rate = 14% and time = 2.5 years
We know the formula of Interest I = ,
where P is Principal amount, T is number of years and is rate of interest
On substituting the values, we get 
…(ii)
It is given that the simple interest for case I is Rs 98 more than the simple interest for case Ⅱ.
So, 
On multiplying on both the sides, we get 7p = 9800
Divide the above equation by 7 on both the sides,
We get P = 1400
Hence the sum P = Rs 1400
Related Questions to study
Maths-
The scatter plot represents the prices and the number of books sold in a bookstore.
a) Identify the cluster in the scatter plot and explain what it means
b) How does the scatter plot show the relationship between the data points? Explain.
The scatter plot represents the prices and the number of books sold in a bookstore.
a) Identify the cluster in the scatter plot and explain what it means
b) How does the scatter plot show the relationship between the data points? Explain.
Maths-General
Maths-
The table shows the monthly attendance in thousands at museums in one country over a 12- month period.
a) Complete the scatter plot to represent the data.
b) Identify any outlier in the scatter plot
c) What situation might have caused an outlier?
The table shows the monthly attendance in thousands at museums in one country over a 12- month period.
a) Complete the scatter plot to represent the data.
b) Identify any outlier in the scatter plot
c) What situation might have caused an outlier?
Maths-General
Maths-
Germaine constructs a scatter plot to show how many people visit different theme parks in a month. Why might clusters and outliers be present.
It is not necessary that every scatter plot must have either a cluster or an outlier. There are graphs that have none.
Germaine constructs a scatter plot to show how many people visit different theme parks in a month. Why might clusters and outliers be present.
Maths-General
It is not necessary that every scatter plot must have either a cluster or an outlier. There are graphs that have none.
General
Choose the noun
Choose the noun
GeneralGeneral
Maths-