Question

The present price of a ceiling fan is 2 5670. If its value decreases every year by 10%, then find its value
before 2 years​

Answer 1

Given :

• Present price of Celing fan = Rs.25,670
• Rate of depreciation per year = 10%

To Find :

• The value before 2 years

Solution :

Let the price of the ceiling fan before 2 years be " P "

Present price of the Ceiling fan (A) = Rs.25,670

Time = 2 years

Rate of depriciation = 10%

Now by Applying the Amount formulae ,

$\\ : \implies \sf \: A = P\bigg(1 - \frac{R}{100}\bigg)^{T}$

Substituting the values we have ;

$\\ : \implies \sf \: 25670 = P \bigg( 1 - \frac{10}{100} \bigg)^{2}$

$\\ : \implies \sf 25670 = P \bigg( \frac{100 - 10}{100}\bigg)^{2}$

$\\ : \implies \sf 25670 = P \bigg( \frac{90}{100} \bigg)^{2}$

$\\ : \implies \sf \: 25670 = P \bigg( \frac{90 \times 90}{100 \times 100}\bigg)$

$\\ : \implies \sf \: 25670 = P \bigg( \frac{81}{100}\bigg)$

$\\ :\implies \sf \: 25670 = \frac{81P}{100}$

$\\ : \implies \sf \: 25670 \times 100 = 81P$

$\\ : \implies \sf \: P = \frac{25670 \times 100}{81}$

$\\ : \implies {\underline{\boxed{\sf{P \: \approx \: Rs.31691}}}}$

Hence , The Price of ceiling fan before 2 years is Rs.31,691