Question

the ratio of prices of two houses was 4:5 2 years later when the price of first had risen by 10%and that of the second by ₹ 6000 the ratio became 11 : 15 find the new pri e of the houses​

Answer 1

Answer:

The new prices are Rs 26400 and Rs 36000

Step-by-step explanation:

Let the original prices of flat 1 and 2 be x and y respectively.

Given,

$\begin{gathered} \frac{x}{y} = \frac{4}{5} \\ x = \frac{4y}{5} \end{gathered}$

and,

$\begin{gathered} \frac{x + 0.1x}{y + 6000} = \frac{11}{15} \\ \frac{1.1x}{y + 6000} = \frac{11}{15} \\ 16.5x = 11y + 66000\end{gathered} </p><p>$

Putting x = 4y/5

$16.5 (\frac{4y}{5} ) = 11y + 66000 \\ 13.2y - 11y = 66000 \\ 2.2y = 66000 \\ 1.1y = 33000 \\ y = 30000$

Putting y = 30000 in x = 4y/5

x = 120000 / 5 = 24000

New prices:

x' = x + 0.1 x = 1.1x = 1.1 × 24000 = 26400

y' = y + 6000 = 30000 + 6000 = 36000