Last year, a certain company began producing soup A and sold all of the soup A that it produced. To make all of the soup A produced last year, raw ingredients were cooked until their weight was 30% less than their original weight, then a total of 28 kilograms of herbs and spices were added just before soup A was packaged in cans. Did the company sell more than 4,800 cans of soup A last year?
(1) Each can of soup A sold last year contained 0.45 kilograms.
(2) Last year, the total weight of the raw ingredients for soup A, before cooking and excluding the herbs and spices added after cooking, was greater than 3,000 kilograms.
Let the initial weight of raw ingredients = \(x\) kg
Weight of after cooked (including herbs/spices) = \(0.7x + 28\)
(1) Each can of soup A sold last year contained 0.45 kilograms.
--> Number of cans sold = \(\frac{(0.7x + 28)}{0.45}\) -->
Insufficient(2) Last year, the total weight of the raw ingredients for soup A, before cooking and excluding the herbs and spices added after cooking, was greater than 3,000 kilograms.
--> \(x > 3,000\)
--> Least value possible = \(3000\) approximately
We do not know the weight of individual can -->
InsufficientCombining (1) & (2),
Number of cans sold = \(\frac{(0.7*3000 + 28)}{0.45} = \frac{2128}{0.45} = 2128*\frac{100}{45} = 4728\) approximately
So, a minimum of 4728 cans have been sold --> May or may not be more than 4800 -->
InsufficientIMO Option E