Question

At what rate per cent will a sum of 1200 amount to 1600 in 6 years

Answer 1

$<b>Hey mate! </b>$

$\bf\purple{Here's }$
$\bf\red{your}$
$\bf\blue{Solution}$

Principal = Rs. 1200
Time = 6 years
Amount= Rs. 1600

S.I = (Amount- Principal)

or, S.I = Rs.(1600-1200)

or, S.I = Rs. 400

$rate - \frac{si \times 100}{ p \times t}$



Rate=

$\frac{400 \times 100}{1200 \times 6}$

Therefore, Rate = 5.56%




$<b>Hope this helps! </b>$

Answer 2

Step-by-step explanation:

$Here, \\ Amount : Rs \: \: 1600 \\Principal : Rs \: \: 1200 \\ Time : 6 \: \: years \\ Rate \: \: of \: \: Interest : \: \: ?? \\ \\ SI = Amount - Principal \\ SI = 1600 - 1200 \\ SI = 400\\ \\ SI = \frac{P \times R \times T}{100} \\ 400 = \frac{1200 \times R \times 6}{100} \\ 400 \times 100 = 1200 \times R \times 6 \\ 40000 = 7200R \\ \frac{400 \cancel{00}}{72 \cancel{00}} = R \\ \frac{_{50 \: \: } \cancel{400}}{_{9 \: \: }\cancel{72}} = R \\ \boxed{ \underline{ \underline{ \bf \frac{50}{9} \%}} = R}$