The simple interest on a principal for 2 years at 10% p.a. is Rs. 1700

1.	The simple interest on a principal for 2 years at 10% p.a. is Rs. 1700. Find the principal amount.chapter : compound interest 9thpls help fast
Answer» DIRECT Answer: Rs.8500 Given: Rate of Interest [R] = 10% p.a. Time period [T] = 2 years Simple Interest [SI] = Rs.1700 To FIND: The principal amount [P]. Solution: Here, we have to implement the concept of simple interest to find the principal amount on which the given simple interest is levied. The formula to be used is: $\tt{\implies\:Simple\:Interest=\dfrac{P\times\:R\times\:T}{100}}$ Here, we know the values of R, T and SI. Implementing these values into the equation, $\sf{\longrightarrow\:1700=\dfrac{P\times10\times2}{100}}$ $\sf{\longrightarrow\:1700=\dfrac{P\times1\times2}{10}}$ $\sf{\longrightarrow\:1700=\dfrac{P}{5}}$ $\sf{\longrightarrow\:P=1700\times5}$ $\sf{\longrightarrow\:P=8500}$ Therefore the principal amount is Rs.8500. Verification: If we substitute the value of P into the LHS of the equation and obtain the simple interest as provided in the QUESTION, our answer is correct. LHS: $\sf{\implies\:\dfrac{P\times\:R\times\:T}{100}}$ $\sf{\longrightarrow\:\dfrac{8500\times10\times2}{100}}$ $\sf{\longrightarrow\:85\times20}$ $\sf{\longrightarrow\:1700}$ RHS: $\sf{\implies\:1700}$ LHS = RHS Hence verified!

The simple interest on a principal for 2 years at 10% p.a. is Rs. 1700. Find the principal amount.chapter : compound interest 9thpls help fast

Answer»

DIRECT Answer:

Rs.8500

Given:

Rate of Interest [R] = 10% p.a.

Time period [T] = 2 years

Simple Interest [SI] = Rs.1700

To FIND:

The principal amount [P].

Solution:

Here, we have to implement the concept of simple interest to find the principal amount on which the given simple interest is levied. The formula to be used is:

$\tt{\implies\:Simple\:Interest=\dfrac{P\times\:R\times\:T}{100}}$