Question

A sum of money invested at simple interest amount to Rs 1235 in 3 years and to Rs 1296 in 4 years what was the money invested ​

Answer 1

Answer:

Hence, the money invested will be Rs. 1052

Step-by-step explanation:

As per the data given in the question,

We have to determine the value of the money invested by the person.

As per the question,

It is given that,

A sum of money invested at simple interest amount to Rs 1235 in 3 years and to Rs 1296 in 4 years.

So, let us first assume that the money invested is Rs. x

We know that,

The value of simple interest can be determined by using the formula:

$SI=\frac{PRT}{100}$

While the value of Amount will be SI+Principal

We know,

In the case of SI, the interest earned on money are equal.

So, interest earned in 1 year will be = 1296 - 1235 = 61

So, SI for one year will be

$=\frac{PRT}{100}=\frac{PR\times 1}{100}=61\\\Rightarrow PR=6100----(i)$

As the same money gives an amount of 1235 in 3 years.

So, in the case of 3 years:

$1235=\frac{P\times R \times 3}{100}+P\\\frac{3PR}{100}+P=1235\\ 1235-P=\frac{3PR}{100}--------(ii)$

As the same money gives an amount of 1296 in 4 years.

So, in the case of 4 years:

$1296=\frac{P\times R \times 4}{100}+P\\\frac{4PR}{100}+P=1296\\ P[(\frac{4R}{100})+1]=1296\\P=\frac{1296}{[(\frac{4R}{100})+1]}--------(iii)$

From above,

We can substitute the value of PR in equation (ii),

Thus we will get it as:

$1235-P=\frac{PR\times 3}{100}\\\\1235-P=\frac{6100\times 3}{100}\\\\P=1235-183=Rs.\:1052$

Hence, the money invested will be Rs. 1052

For more such questions: https://brainly.in/question/5244351

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