Question

the present value of a piece of office equipmeny is rupees 6050 and its value decreasing at a rate of rupees 175 per year.how long will it take for tge value to be ruppes 5000 ? ​

Answer 1

$\red{ \huge{ \underline{ \overline{ \mid{ \bold{ \purple{ \: \: SOLUTION\: \: \red{ \mid}}}}}}}}$

$\underline{ \underline{\bold{ \: \: GIVEN \: \: }}} \to \\ \\ \bold{Present \: \: value \: \: of \: \: the \: \: equipment = Rs. \: 6050} \\ \\ \bold{Scrap \: \: value \: \: of \: \: the \: \:equipment = Rs. \: 5000 } \\ \\\bold{Amount \: \: decreased \: \: per \: \: year \: = Rs. \: 175} \\ \\ \\ \underline{ \underline{ \bold{ \: \: TO \: \: FIND\: \: }}} \to \: \: \\ \\ \bold{The \: \: time\: \: taken \: \: to \: be \: \: the \: \: scrap \: \: value}$

$\bold{The \: \: amount \: \: decrease \: \: per \: \: year \: \: can \: \: be} \\ \bold{considered \: \: as \: \: the \: \: amount \: \: of \: \: depreciation} \\ \bold{in \: \: original \: \: cost \: \: method.}$

$\underline{\bold{ \: \: We \: \: know \: \: that \: }} \\ \\ \bold{Amount \: \: of \: \: depreciation } \\ \\ \bold{ = \frac{Present \: \: value \: \: of \: \: the \: \: good - Scrap \: \: value \: \: of \: \: the \: \: good}{Time \: \:taken \: \: to \: \: be \: \: the \: scrap \: \: value } } \\ \\ \bold{ \Longrightarrow \: 175 = \frac{6050 - 5000}{Time \: \: taken \: \: to \: \: be \: \: the \: \: scrap \: \: value} } \\ \\ \bold{ \Longrightarrow \: 175 = \frac{1050}{Time \: \: taken \: \: to \: \: be \: \: the \: \: scrap \: \: value} } \\ \\ \bold{ \Longrightarrow \: Time \: \: taken \: \: to \: \: be \: \: the \: scra \: \: value = \frac{1050}{175} } \\ \\ \bold{ \Longrightarrow \: Time \: \: taken \: \: to \: \: be \: \: the \: scrap \: \: value = 6 }$

$\bold{The \: \: office \: \: equipment \: \: will \: \: take \: \: \red{6 \: \: years}} \\ \bold{for \: \: the \: \: value \: \: to \: \: be \: \: Rs. \: 5000.}$

Answer 2

its the correct answer of 6 years