Question

The prices of two articles are in the ratio of $2:5$. If the price of the first article be increased by $25$% and that of the second by Rs $25$, ratio becomes $1/3$. The original price of second article is ?

• A. $30$
• B. $40$
• C. $50$
• D. $60$

Answer 1

Answer: (C)

$50$

Let price of first article be $X$ Rs and second article be $Y$ Rs.

Then, ratio of price $=2:5$

$\Rightarrow \frac{X}{Y}=\frac{2}{5}$

$\Rightarrow X=\frac{2Y}{5}...\left(1\right)$

When price of first article increase by $25\%$

Then, New price of first article $=X+25\%ofX=1.25X$

and price of second article increase by 25 Rs.

Then, New price of second article = $Y+25$ Rs

According to question, Ratio of new price $1:3$

$\Rightarrow \frac{1.25X}{Y+25}=\frac{1}{3}$

$\Rightarrow 3.75X=Y+25$

Putting value of X from equation (1),

We get, $3.75\times \frac{2Y}{5}=Y+25$

$\Rightarrow 1.5Y=Y+25$

$\Rightarrow 0.5Y=25$

$\therefore Y=\frac{25}{0.5}=50$

Hence price of second article $=Y=50Rs$