107. In what time will Rs.1200 earn an interest

of Rs.240 at 5%

a) 4 years

b) 3 years

c) 2 years

d) 5 years

# 107. In what time will Rs.1200 earn an interest

### 2 thoughts on “107. In what time will Rs.1200 earn an interest<br />of Rs.240 at 5%<br />a) 4 years<br />b) 3 years<br />c) 2 years<br />d) 5 yea”

### Leave a Comment

You must be logged in to post a comment.

## Given:

## What To Find:

We have to find the time of the following.

## Formula Needed:

[tex]\it SI = \dfrac{P \times R \times T}{100}[/tex]

Where,

## Solution:

Using the formula,

[tex]\sf \implies SI = \dfrac{P \times R \times T}{100}[/tex]

Substitute the values,

[tex]\sf \implies 240 = \dfrac{1200 \times 5 \times T}{100}[/tex]

Cancel the zeros,

[tex]\sf \implies 240 = 12 \times 5 \times T[/tex]

Multiply 12 by 5,

[tex]\sf \implies 240 = 60 \times T[/tex]

Take 60 to LHS,

[tex]\sf \implies \dfrac{240}{60} = T[/tex]

Cancel the zeros,

[tex]\sf \implies \dfrac{24}{6} = T[/tex]

Divide 24 by 6,

[tex]\sf \implies 4 \: years = T[/tex]

## Final Answer:

The time is 4 years that is option A.

Given:

Principal = Rs. 1200

Simple Interest = Rs. 240

Rate = 5 %

What To Find:

We have to find the time of the following.

Formula Needed:

[tex]\it SI = \dfrac{P \times R \times T}{100}[/tex]

Where,

SI = Simple Interest

P = Principal

R = Rate

T = Time

Solution:

Using the formula,

[tex]\sf \implies SI = \dfrac{P \times R \times T}{100}[/tex]

Substitute the values,

[tex]\sf \implies 240 = \dfrac{1200 \times 5 \times T}{100}[/tex]

Cancel the zeros,

[tex]\sf \implies 240 = 12 \times 5 \times T[/tex]

Multiply 12 by 5,

[tex]\sf \implies 240 = 60 \times T[/tex]

Take 60 to LHS,

[tex]\sf \implies \dfrac{240}{60} = T[/tex]

Cancel the zeros,

[tex]\sf \implies \dfrac{24}{6} = T[/tex]

Divide 24 by 6,

[tex]\sf \implies 4 \: years = T[/tex]

Final Answer:

The time is 4 years that is option A.