Question

at what rate Percent will a sum of 1200 amount to 1600 in 6 years
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Answer 1

Step-by-step explanation:

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