A grocery store bought some mangoes at a rate of 5 for a dollar.
A grocery store bought some mangoes at a rate of 5 for a dollar. They were separated into two stacks, one of which was sold at a rate of 3 for a dollar and the other at a rate of 9 for a dollar. What was the ratio of the number of mangoes in the two stacks if the store broke even after having sold all of its mangoes?
Answer/Solution
3:2
Steps/Work
The cost price of a mango = 1/5 dollars.
The selling price of a mango from the first stack = 1/3 dollars --> the profit from one mango = 1/3 - 1/5 = 2/15 = 4/30 dollars.
The selling price of a mango from the second stack = 1/9 dollars --> the loss from one mango = 1/5 - 1/9 = 4/45 dollars.
The profit from one mango from the first stack is 4 times the loss from one mango from the second stack.
the ratio is 4/30*45/4 =3:2
C
The selling price of a mango from the first stack = 1/3 dollars --> the profit from one mango = 1/3 - 1/5 = 2/15 = 4/30 dollars.
The selling price of a mango from the second stack = 1/9 dollars --> the loss from one mango = 1/5 - 1/9 = 4/45 dollars.
The profit from one mango from the first stack is 4 times the loss from one mango from the second stack.
the ratio is 4/30*45/4 =3:2
C