Question

The price of a mobile is decreased by ₹2000 in a year since it's launch. If it was launched at the price of ₹12500 , then by what percentage has the price of the mobile decreased ?



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Answer 1

Question:-

• The price of a mobile is decreased by ₹2000 in a year since it's launch. If it was launched at the price of ₹12500 , then by what percentage has the price of the mobile decreased ?

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$\red{\boxed{ \sf \blue{ Understanding\: the \: Question }}}$

• In this question we have to find the decrease percentage of price . So, simply we will apply the Formula of decrease percentage to find the decrease percentage.

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Given:-

• Decrease in the Price = $\blue{\fbox\orange{₹2000}}$
• Intial Price = $\blue{\fbox\orange{₹10000 }}$

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To Find :-

• What is the Decrease percentage ?

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Let's do it :-

$\begin{gathered}\begin{gathered}\begin{gathered}\begin{gathered}:\green \implies \underline\purple{ \boxed{\displaystyle \sf \bold\red{\: \qquad \bull \: { \sf{Decrease \: \% \: }= \bf \bigg( \dfrac{decrease}{intial \: price} \: \times \: 100 \bigg)}\% }} }\\ \\\end{gathered}\end{gathered}\end{gathered}\end{gathered}$

$\begin{gathered}\begin{gathered}\begin{gathered}\begin{gathered}: \implies \displaystyle \sf \: \qquad \: { \sf{Decrease \:\% }= \bf \bigg( \dfrac{2000}{12500} \: \times \: 100 \bigg)}\% \\ \\ \\\end{gathered}\end{gathered}\end{gathered}\end{gathered}$

$\begin{gathered}\begin{gathered}\begin{gathered}\begin{gathered}: \implies \displaystyle \sf \: \qquad \: { \sf{Decrease \: \% }= \bf \bigg( \dfrac{2000}{125} \bigg)}\% \\ \\ \\\end{gathered}\end{gathered}\end{gathered}\end{gathered}$

$\begin{gathered}\begin{gathered}\begin{gathered}\begin{gathered}: \green\implies \underline\red{ \boxed{\displaystyle \sf \bold\blue{\: Decrease \: Percentage \: = \: 16\%}} }\\ \\\end{gathered}\end{gathered}\end{gathered}\end{gathered}$

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Hence,

So, the decrease percentage = 16%