Question

P=$12000,R=5%,I=6000,T=?​

Answer 1

Answer :-

• The time is 10 years.

Given :-

• Principal = Rs 12000.
• Rate = 5%
• Interest = Rs 6000.

To find :-

• The time.

Step-by-step explanation :-

• In this question, the principal, rate and interest have been given to us. We have to find the time.

We know that :-

$\underline{\boxed{\sf Simple \: Interest = \dfrac{P \times R \times T}{100}}}$

Here,

• Principal = Rs 12000.
• Rate = 5% per annum.
• Interest = Rs 6000.

• Let the time be t.

----------------

$\underline{\underline{\mathfrak{Subsituting \: the \: given \: values,}}}$

$\tt 6000 = \dfrac{12000 \times 5 \times t}{100}$

Multiplying 12000 with 5,

$\tt 6000 = \dfrac{60000 \times t}{100}$

Multiplying 60000 with t,

$\tt 6000 = \dfrac{60000t}{100}$

Transposing 100 from RHS to LHS, changing it's sign,

$\tt 6000 \times 100 = 60000t$

Multiplying 6000 with 100,

$\tt 600000 = 60000t$

Transposing 60000 from RHS to LHS, changing it's sign,

$\tt \dfrac{600000}{60000} = t$

Dividing 600000 by 60000,

$\overline{\boxed{\tt 10 = t}}$

----------------

• Hence, the time is 10 years.

Answer 2

Given :

• Principal (P) = Rs 12000
• Rate (R) = 5%
• Simple Interest = Rs 6000

To Find :

• Time

Solution :

✰ As we know that, Simple Interest is given by SI = P × R × T / 100 ...(1) and we also know that if we want to find the time we will use the formula T = SI × 100 / P × R ...(2) where SI , P , R , T stands for Simple Interest, Principal , Rate and Time respectively. So we will simply put given values in the second formula to find the time.

⠀⠀⠀

⠀⠀⠀⟼⠀⠀SI = P × R × T / 100

⠀⠀⠀⟼⠀⠀T = SI × 100 / P × R

⠀⠀⠀⟼⠀⠀T = 6000 × 100 / 12000 × 5

⠀⠀⠀⟼⠀⠀T = 600 / 12 × 5

⠀⠀⠀⟼⠀⠀T = 600 / 60

⠀⠀⠀⟼⠀⠀T = 60 / 6

⠀⠀⠀⟼⠀⠀T = 10 years

Thus Time is 10 years.

________________

★ Additional Info :

$\small\boxed{\begin{array}{cc}\large\sf\dag \: {\underline{More \: Formulae}} \\ \\ \bigstar \: \sf{Principle :- \dfrac{SI \times 100}{R \times T}} \\ \\\bigstar \: \sf{Rate \: of \: Interest :- \dfrac{SI \times 100}{P \times T}} \\ \\ \bigstar \: \sf{Time :- \dfrac{SI \times 100}{P \times R}}\end{array}}$