Sonu had purchased a bicycle three years back. Its value decreased to Rs.1728 at the rate of 20% per annum.Rs. {fill _number} amount had sonu purchased the bicycle.

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Concept- Here, we are informed that Sonu paid Rs. 1728 for a bicycle, which will now cost Rs. 1728 after 20 percent inflation. We must ascertain the bicycle's original purchase cost.
Let's now assume that the bicycle's initial cost was x. Given that it is decreased by 20% after one year, we have,
Price of the bicycle in a year is equal to x minus 20% of x.
Bicycle cost after one year = x - (

\frac{20}{100}

)x
Bicycle cost after one year =

\frac{4 x}{5}

Now that the price has decreased by 20% again after the second year, we have,
Bicycle cost after two years equals

\frac{4 x}{5}

- 20% of

\frac{4 x}{5}

.
Bicycle cost after two years equals

\frac{4 x}{5}

- (

\frac{20}{100}

) (

\frac{4 x}{5}

)
Bicycle cost after two years =

\frac{16 x}{25}

Finally, we are informed that the price would be cut once again by 20% after the third year.
After three years, the bicycle will cost

\frac{16 x}{25}

less 20 percent of

\frac{16 x}{25}

.
Bicycle cost after three years =

\frac{16 x}{25}

- (

\frac{20}{100}

) (

\frac{16 x}{25}

)
Bicycle cost after three years =

\frac{64 x}{125}

Given that the rate of cycle here is Rs. 1728 after three years, we can use the obtained expression of the price above to calculate the following:
⇒

\frac{64 x}{125}

=1728
⇒x=

\frac{1728 \times 125}{64}

\Rightarrow x = Rs . 3375

Hence, the bicycle cost Rs. 3375 three years ago.

Sonu had purchased a bicycle three years back. Its value decreased to Rs.1728 at the rate of 20% per annum.Rs. {fill _number} amount had sonu purchased the bicycle.

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