Question

A principal becomes an amount of 1080 in one year at the rate 8% per annum.What is the principal?​

Answer 1

Given :

• Amount = Rs. 1080
• Time = 1 year
• Rate = 8% per annum

To Find :

• We have to calculate the principal.

Solution :

Knowledge required :-

In order to calculate the principal when amount, time and rate are provided, formula is given by -

• $\underline{\boxed{ \bf{P \: = \dfrac{I}{R \times T}}}}$

Here,

• P denotes Principal = Unknown
• I denotes Interest = Rs. 1080
• R denotes Rate = 8%
• T denotes Time = 1 year

Substituting values,

$\implies \tt \: P\: = \dfrac{1080}{8 \times 1} \\ \\ \implies \tt \: P\: = \cancel\dfrac{1080}{8} \\ \\ \implies \underline{ \boxed{\tt{\: P\: = Rs. \: 135}}} \blue{ \bigstar}$

∴ Hence, the principal is Rs. 135 respectively.

Additional Information:

Some more important formulae :-

• SI = P × R × T/100
• R = 100 × SI /P × T
• T = 100 × SI/P × R

Here,

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