Bablu ordered two types of chocolates - Bar-Milk and Bar-Choco. Each p...
Given information:
- Bablu ordered Bar-Milk and Bar-Choco chocolates
- Each piece of Bar-Milk costs 40% more than each piece of Bar-Choco
- The shop owner swapped the number of the two types of chocolates by mistake
- As a result, the total cost was 10% less than what it would have been
To find:
- Ratio of number of Bar-Milk and Bar-Choco chocolates ordered by Bablu
Solution:
Let's assume that Bablu initially ordered x pieces of Bar-Milk and y pieces of Bar-Choco chocolates.
Cost of each piece of Bar-Milk chocolate = p
Cost of each piece of Bar-Choco chocolate = q
Given that each piece of Bar-Milk costs 40% more than each piece of Bar-Choco.
So, p = q + 0.4q = 1.4q
Total cost of x pieces of Bar-Milk chocolates = xp
Total cost of y pieces of Bar-Choco chocolates = yq
As per the given information, the shop owner swapped the number of the two types of chocolates by mistake. So, Bablu actually received y pieces of Bar-Milk chocolates and x pieces of Bar-Choco chocolates.
Total cost of y pieces of Bar-Milk chocolates = y * p = y * 1.4q
Total cost of x pieces of Bar-Choco chocolates = x * q
As per the given information, the total cost was 10% less than what it would have been. So, we can write:
y * 1.4q + x * q = 0.9 * (xp + yq)
Simplifying the above equation, we get:
1.4yq + xq = 0.9xp + 0.9yq
1.4y + x = 0.9(x+y)
0.5x = 0.5y/0.5
x/y = 4/3
Therefore, the ratio of number of Bar-Milk and Bar-Choco chocolates ordered by Bablu is 4:3.
Conclusion:
- Bablu ordered Bar-Milk and Bar-Choco chocolates
- Each piece of Bar-Milk costs 40% more than each piece of Bar-Choco
- The shop owner swapped the number of the two types of chocolates by mistake
- As a result, the total cost was 10% less than what it would have been
- The ratio of number of Bar-Milk and Bar-Choco chocolates ordered by Bablu is 4:3.