Where is the bug?

Question

#include <iostream>
#include<cmath>
using namespace std;

int main() {
int color;
float fixed = 40.0;
cin >> color;
float cost = (5.0 * color) + fixed;
cost += cost * 0.10;
cout << ceil(cost);
return 0;
}

Answer 1

Md Mehedi Hasan
I added explicit int conversion in the cout statement as:

cout << (int)ceil(cost);

And it worked. But I can't really understand what the issue is. The result normally returns an integer anyway(and so it passes 4 of the 5 test cases).

The error is, to my understanding, due to the cost being a certain floating number, that when converted with ceil, rounds up to a number it shouldn't. Maybe because of floating point precision, but I'm not sure either. I did check by using double instead of float, but that didn't fix the issue like (int) conversion did.