Question

at what rate of interest will 5600 amount to 7168 in 4 years​

Answer 1

Answer:

The Rate of interest is 7%

Step-by-step explanation:

Given :

Money = Rs. 5600

Amounts to = Rs. 7168

In = 4 years

To find :

Rate of the interest

Solution :

Here :

• Principal = 5600
• Amount = 7168
• Time = 4 yrs
• Rate of interest = R

$\bigstar \: \boxed{\rm{Simple \: Interest = Amount - Principal}}$

$\implies \: {\rm{Simple \: Interest =7168 - 5600}}$

$\implies \: \rm{Simple \: Interest = 1568}$

$\rule{300}{1.5}$

$\bigstar \: \boxed{\rm{SI = \frac{Principal \times Rate \times Time}{100}}}$

$\rm{\implies} \:{1568= \dfrac{5600 \times R \times 4}{100}} \\ \\ \rm{\implies} \:{1568 = \dfrac{5600 \times R \times 4}{100}} \\ \\ \rm{\implies} \:{1568 = \dfrac{22400R}{100}} \\ \\ \rm{\implies} \: 1568 \times 100 = 22400R \\ \\ \rm{\implies} \: 156800 = 22400R \\ \\ \rm{\implies} \: R = \frac{156800}{22400} \\ \\ \rm{\implies} R = 7\%$

Rate = 7%

$\therefore$ The Rate of interest is 7%

Answer 2

Answer:

The Rate of interest is 7%

Step-by-step explanation:

Given :

Money = Rs. 5600

Amount = Rs. 7168

Time = 4 years

To Find :

The rate of the interest .

Solution :

Now,

We have :

• Principal = 5600
• Amount = 7168
• Time = 4 years
• Rate of interest as - I

Now,

• Step 1 :
• Find it's Simple Intrest.

So,

We know :

$\bigstar\;\boxed{\sf{Simple\;Interest = Amount-Principal}}$

So,

$\sf\\ \\\implies SI =7168 - 5600\\ \\ \implies Simple \: Interest = 1568$

• Step 2 :
• Find SI.

Now,

We know :

$\bigstar\;\boxed{\sf SI = \dfrac{Principal \times Rate \times Time}{100}}}$

So,

$\sf\\ \\\implies 1568= \dfrac{5600 \times I \times 4}{100}} \\ \\ \implies 1568 = \dfrac{5600 \times I \times 4}{100}} \\ \\ \implies 1568 = \dfrac{22400I}{100}}\\ \\ \implies 1568 \times 100 = 22400I \\ \\ \implies 156800 = 22400I \\ \\ \implies I= \dfrac{156800}{22400}\\ \\ \implies I = 7\%$

∴ The Rate of interest is 7%