Question

what rate gives rs 280 as interest on the sum of rs 56000 in 2 years​

Answer 1

Question :

What rate gives Rs 280 as interest on the sum of Rs 56000 in 2 years ?

Solution :

$\underline{\bold{Given:}}$

• Simple Interest = Rs 280
• Principal =Rs 56000
• Time=2 years

$\underline{\bold{To\:Find:}}$

• Rate.

$\boxed{\purple{Rate=(\frac{100\times Simple\:Interest}{Principal\times Time})\%}}$

$\implies Rate=(\frac{100\times Simple\:Interest}{Principal\times Time} )\%\\ \implies Rate=(\frac{100\times 280 }{56000\times 2})\% \\ \implies Rate= \frac{1}{4} \% \\ \implies Rate = 0.25\%$

$\boxed{\green{\therefore{Rate=0.25\%}}}$

Answer 2

Answer:

Here,

Rate of Interest = Rupees 280

Principal = Rupees 56000

Time = 2 years

Main Aim:

Finding the rate of interest by following the clues.

We know,

$\tt\red\ Rate \: of \: Interest \: = \frac{100 \times Simple \: Interest}{Princpal \times Time}$

(Note: This formulae will help us in finding the rate of interest.)

Hence,

Rate of interest:

$\sf( \frac{280 \times 100}{56000 \times 2} )\%$

(In this step, we formed an equation as per the formulae)

$\sf = (\frac{28 \times 1}{56 \times 2} )\%$

(In this step, we cancelled the zeroes i.e. from 280 and 100 by 56000)

$\sf = (\frac{1 \times 1}{2 \times 2} )\%$

(In this step, we cancelled 28 and 56 as twice 28 yields 56. Hence, the value becomes 1×1/2×2)

$\sf = (\frac{ {(1)}^{2} }{ {(2)}^{2} } )\%$

(We arranged them into squares)

$\sf = \frac{1}{4} \%$

(Value of the squares of numerator and denominator)

$\sf = 0.25\%$

$\tt\green{(Answer)}$

REQUIRED ANSWER:

Therefore, the rate of interest is :

$\huge\sf = 0.25\%$