# 107. In what time will Rs.1200 earn an interestof Rs.240 at 5%a) 4 yearsb) 3 yearsc) 2 yearsd) 5 yea

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​

1. ### Given:

• Principal = Rs. 1200
• Simple Interest = Rs. 240
• Rate = 5 %

### What To Find:

We have to find the time of the following.

### Formula Needed:

$$\it SI = \dfrac{P \times R \times T}{100}$$

Where,

• SI = Simple Interest
• P = Principal
• R = Rate
• T = Time

### Solution:

Using the formula,

$$\sf \implies SI = \dfrac{P \times R \times T}{100}$$

Substitute the values,

$$\sf \implies 240 = \dfrac{1200 \times 5 \times T}{100}$$

Cancel the zeros,

$$\sf \implies 240 = 12 \times 5 \times T$$

Multiply 12 by 5,

$$\sf \implies 240 = 60 \times T$$

Take 60 to LHS,

$$\sf \implies \dfrac{240}{60} = T$$

Cancel the zeros,

$$\sf \implies \dfrac{24}{6} = T$$

Divide 24 by 6,

$$\sf \implies 4 \: years = T$$

The time is 4 years that is option A.

2. Given:

Principal = Rs. 1200

Simple Interest = Rs. 240

Rate = 5 %

What To Find:

We have to find the time of the following.

Formula Needed:

$$\it SI = \dfrac{P \times R \times T}{100}$$

Where,

SI = Simple Interest

P = Principal

R = Rate

T = Time

Solution:

Using the formula,

$$\sf \implies SI = \dfrac{P \times R \times T}{100}$$

Substitute the values,

$$\sf \implies 240 = \dfrac{1200 \times 5 \times T}{100}$$

Cancel the zeros,

$$\sf \implies 240 = 12 \times 5 \times T$$

Multiply 12 by 5,

$$\sf \implies 240 = 60 \times T$$

Take 60 to LHS,

$$\sf \implies \dfrac{240}{60} = T$$

Cancel the zeros,

$$\sf \implies \dfrac{24}{6} = T$$

Divide 24 by 6,

$$\sf \implies 4 \: years = T$$