C paid Rs.127050 for the car
Solution
Price of car of A = Rs.100000
A spent Rs. 10000 on its repairs
Cost price of car of A = Rs.100000 + Rs. 10000 = Rs. 110000
He sold this car to B at a gain of 10 %
gain = 10 %
Selling price of car = cost price + gain %
Selling price of car = 110000 + 10 % of 110000
[tex]\rightarrow 110000 + \frac{10}{100} \times 110000\\\\\rightarrow 110000 + 11000\\\\\rightarrow 121000[/tex]
Thus selling price is Rs. 121000
Therefore, cost price of car purchased by B = Rs. 121000
B sold the car to C for 5 %
Gain = 5 %
selling price of car = Rs. 121000 + 5 % of Rs. 121000
[tex]\rightarrow 121000 + \frac{5}{100} \times 121000\\\\\rightarrow 121000 + 6050 = 127050[/tex]
Thus C paid Rs.127050 for the car