Question

2. The ratio of the prices of two flats was 4:5.
Three years later when the price of 1st
increased by 10% and that of 2nd by 36000.if
the ratio of their prices becomes 11:15. Find
the orginal prices of two flats
a) 24,000, 330,000
b) * 25,000, 330,000
c) 40,000, 350,000
d) none​

Answer 1

Answer:

The original prices are Re 144000 and Rs 180000

Step-by-step explanation:

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

Given,

$\frac{x}{y} = \frac{4}{5} \\ x = \frac{4y}{5}$

and,

$\frac{x + 0.1x}{y + 36000} = \frac{11}{15} \\ \frac{1.1x}{y + 36000} = \frac{11}{15} \\ 16.5x = 11y + 396000$

Putting x = 4y/5

$16.5( \frac{4y}{5} ) = 11y + 396000 \\ 3.3 \times 4y = 11y + 396000 \\ 13.2y - 11y = 396000 \\ 2.2y = 396000 \\ y = 180000$

Therefore, x = 4 × 180000 / 5 = 144000