# Rihana took a loan of Rs. 1200 with simple interest for as many years as the rate of interest. If she paid Rs. 432 as interest at the end of the loan period. Find the time period she has taken to return the loan-

1. 3.6 year

2. 6 years

3. 18 years

4. Cannot be determined

Last updated date: 24th Mar 2023

•

Total views: 304.8k

•

Views today: 7.82k

Answer

Verified

304.8k+ views

Hint: This question involves 3 terms principle (P), rate (R), time (T). one of three are available in the question. Simple interest is also provided, put the value in the formula of simple interest, equate it and then proceed with the calculations.

Complete step-by-step answer:

Let the rate of interest R% and time = R years

Principle = Rs. 1200

Simple interest = Rs. 432

∴ S.I = \[\dfrac{{P \times R \times T}}{{100}}\]

\[ \Rightarrow 432 = \dfrac{{1200 \times R \times R}}{{100}}\]

\[ \Rightarrow \dfrac{{432 \times 100}}{{1200}} = {R^2}\]

\[ \Rightarrow {R^2} = \dfrac{{43200}}{{1200}}\]

\[ \Rightarrow {R^2} = 36\]

\[ \Rightarrow R = \sqrt {36} \]

\[ \Rightarrow R = 6\]

Therefore, the correct option is ‘B’ i.e. 6 years.

Note: Simple interest is a quick and easy method of calculating the interest charge on a loan. Simple interest is determined by multiplying the daily interest rate by principal by the no. of days that elapsed between payments.

Complete step-by-step answer:

Let the rate of interest R% and time = R years

Principle = Rs. 1200

Simple interest = Rs. 432

∴ S.I = \[\dfrac{{P \times R \times T}}{{100}}\]

\[ \Rightarrow 432 = \dfrac{{1200 \times R \times R}}{{100}}\]

\[ \Rightarrow \dfrac{{432 \times 100}}{{1200}} = {R^2}\]

\[ \Rightarrow {R^2} = \dfrac{{43200}}{{1200}}\]

\[ \Rightarrow {R^2} = 36\]

\[ \Rightarrow R = \sqrt {36} \]

\[ \Rightarrow R = 6\]

Therefore, the correct option is ‘B’ i.e. 6 years.

Note: Simple interest is a quick and easy method of calculating the interest charge on a loan. Simple interest is determined by multiplying the daily interest rate by principal by the no. of days that elapsed between payments.

Recently Updated Pages

If abc are pthqth and rth terms of a GP then left fraccb class 11 maths JEE_Main

If the pthqth and rth term of a GP are abc respectively class 11 maths JEE_Main

If abcdare any four consecutive coefficients of any class 11 maths JEE_Main

If A1A2 are the two AMs between two numbers a and b class 11 maths JEE_Main

If pthqthrth and sth terms of an AP be in GP then p class 11 maths JEE_Main

One root of the equation cos x x + frac12 0 lies in class 11 maths JEE_Main

Trending doubts

What was the capital of Kanishka A Mathura B Purushapura class 7 social studies CBSE

Difference Between Plant Cell and Animal Cell

Write an application to the principal requesting five class 10 english CBSE

Ray optics is valid when characteristic dimensions class 12 physics CBSE

Give 10 examples for herbs , shrubs , climbers , creepers

Tropic of Cancer passes through how many states? Name them.

Write the 6 fundamental rights of India and explain in detail

Write a letter to the principal requesting him to grant class 10 english CBSE

Name the Largest and the Smallest Cell in the Human Body ?