Problema Solution
The ratio of the prices of two types of cars was 16 : 23. Two years later when the price of the first has increased by 10% and that of the second by Rs.477, the ratio of the prices becomes 11 : 20. Find the original prices of the two types of cars
Answer provided by our tutors
let
x = the price of the first car
y = the price of the second cat
x : y = 16 : 23 cross multiply
23x = 16y
two years later when the price of the first has increased by 10% and that of the second by Rs.477, the ratio of the prices becomes 11:20
1.10x : (y + 477) = 11 : 20 cross multiply
22x = 11(y + 477) divide both sides by 11
2x = y + 477
by solving the system of equations
23x = 16y
2x = y + 477
we find
x = Rs.848
y = Rs.1219
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the original prices of the two cars are Rs.848 and Rs.1219.