Question

what sum will amount to rupees 5556 in 2 years 4 months at 27/4 per annum simple interest ..... Please answer it quickly

Answer 1

$\huge\bold\green{Solution:\longrightarrow}$

Given,

Amount = Rs 5556

$\mathsf{Time = 2 \: years \: \: 4 \: months} \\ \\ \: \: \: \: \: \: \: \: \: \: \: \mathsf{= 2 \frac{4}{12} \: \: years} \\ \\ \: \: \: \: \: \: \: \: \: \: \: \mathsf{= \frac{7}{3}}$

$\mathsf{Rate = \frac{27}{4} \: \% \: p.a.}$

Let the sum be Rs P.

We know that

Amount = Principal + SI

$\mathfrak{= > 5556 = p + ( \frac{p \times 27 \times 7}{100 \times 4 \times 3} ) }$

$\mathfrak{ = > 5556 = p + \frac{63p}{400}}$

$\mathfrak{= > 5556 = \frac{400p + 63p}{400} }$

$\mathfrak{= >5556 = \frac{463p}{400}}$

$\mathfrak{= > 463p = 5556 \times 400}$

$\mathfrak{= > p = \frac{5556 \times 400}{463}}$

$\mathfrak{= > p = Rs \: \: 4800}$

Hence, the sum is Rs 4800.

Answer 2

Answer:

Given,

Amount = Rs 5556

Let the sum be Rs P.

We know that

Amount = Principal + SI

Hence, the sum is Rs 4800.