Question

The price of a certain item was $10in1990andithasgoneupby$2 per year since 1990. If this trend continues, in what year will the price be $100 ?

• A. $2034$
• B. $2035$
• C. $2036$
• D. $2037$

Answer 1

Answer: (B)

$2035$

Given

The price of a certain item in $1990$ $=$ 10$

Increase in price is 2$ per year.

Final price $=$ 100$

Let ${}^{\prime }{x}^{\prime }$ be the number of years for this change in price.

Total Increase in price $=$ Final price $-$ Initial price

$=$ 100- $10$

$=$ 90$

Number of years it took for this increase in price;

$2$ $\times$ $x$ $=$ $90$

$x$ $=$ $45$

It took ${}^{\prime }{45}^{\prime }$ years for this increase in price since ${}^{\prime }{1990}^{\prime }$.

Therefore, the year the price is 100$is$'2035'$.