Question

1. The value of a scooter depreciates by 15% every year. If its present value is Rs. 31025, what was its value 1 year ago?
2. The price of an article has been reduced by 10%. By how much per cent must the new price be increased to retain the orignal price?

Answer 1

$1)$ Let the value of the scooter before 1 year be $Rs.x$

Then according to question $=x-\frac{15}{100}\times x=31025$

$=85x=3102500$

$=x=Rs.36500$

So, the value of the scooter before 1 year $=Rs.36500$

$2)$ Let the initial price be $Rs.100$

Then as price is reduced by $10$%

Therefore new price $=100-10$% of$100$

$=Rs.90$

Now the difference in prices $=Rs.10$

Therefore,Percentage increase $=\frac{10}{90}\times 100$

$=11.11$% (approx)