20. The ratio of the present prices of two bycycles is 2:3. Two years

1.	20. The ratio of the present prices of two bycycles is 2:3. Two years later, when the price ofthe first is increased by 15% and that of the second by Rs.475, the ratio of their pricesbecomes 3:5. The present price ofthe first bycycle in rupees is
Answer» Let present price of first bicycle be 2xLet present price of second bicycle be 3x After 2 yearsFirst bicycle price = 2x(1 + 15/100) = 2x(23/20) = 23x/10Second bicycle price = 3x + 475 Then(23x/10):(3x + 475) = 3:523x/2 = 3(3x + 475)23x = 6(3x + 475)23x - 18x = 28505x = 2850x = 570 Therefore, present price of first bicycle = 2x = 2570 = 1140

20. The ratio of the present prices of two bycycles is 2:3. Two years later, when the price ofthe first is increased by 15% and that of the second by Rs.475, the ratio of their pricesbecomes 3:5. The present price ofthe first bycycle in rupees is

Answer»

Let present price of first bicycle be 2xLet present price of second bicycle be 3x

After 2 yearsFirst bicycle price = 2x(1 + 15/100) = 2x*(23/20) = 23x/10Second bicycle price = 3x + 475

Then(23x/10):(3x + 475) = 3:523x/2 = 3(3x + 475)23x = 6(3x + 475)23x - 18x = 28505x = 2850x = 570

Therefore, present price of first bicycle = 2x = 2*570 = 1140