Find the original prices

Question

The ratio of the prices of two flats was 4:5. Three years later, when the price of 1st increased by 10% and the of 2nd by 6000, the ratio of thier prices becomes 11:15. Find the original prices of the two flats.

Answer 1

4:5 ratio

1st increased by 10%

2nd increased by 6,000

new ratio is 11:15

F/S = 4/5

F =4S/5= .8S

(F+.1F)/(S+6000)= 11/15

1.1F(15) = 11S+ 66,000

1.1(4S/5)(15) = 11S +66,000

13.2S -11S = 66,000

2.2S = 66,000

S = 66,000/2.2= 30,000 = Second number

F= 4(30,000)/5 = 24,000= First number

24/30 = ,8= 4/5

24,000+2400 = 26,400

30,000+ 6,000= 36,000

26,400/36,000= about 0.7333

numbers are 24,000 and 30,000

11/15 = about 0.7333