The question asks us to find the change in per kilogram cost of the candy in cents after the weight of each candy was reduced.
The data provided in the statements will be sufficient if we get a unique value in cents.
If after using the information given in the statements, we are not able to determine a unique value in cents for the change in cost per kilogram of the candy, the data is NOT sufficient.
Let the initial cost per kilogram be x cents; let the cost per kilogram after reducing the weight be y cents, where y > x.
We need to find (y-x).
Now let us evaluate each statement independently.
We do not know either x or y from this statement.
We cannot find a unique value for (y - x). Hence, statement 1 is NOT Sufficient.
Therefore, we can eliminate choices A and D. We can narrow down the choices to this DS question to B, C, or E.
All that we can deduce is that the new weight of the candies is 9% lesser than its original weight or that the new weight is 91% of the original weight.
Statement 2 also does not provide us with either x or y.
Because we are not able to get a unique value for (y - x) using statement 2, statement 2 is also NOT Sufficient.
Therefore, we can eliminate choice B as well. We are down to C or E.
"The weight of each piece of candy bar reduced by 9 grams" and "The weight of each piece of candy bar reduced by 9%"
9% reduction is 9 grams
We can deduce that the weight of each candy bar was 100 grams before the reduction.
We still do not have any information on x and y.
Even after combining the information given in the two statements, we are not able to get a unique value for (y - x). Therefore, the statements together are NOT Sufficient.
Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data specific to the problem are needed.
Choice E is the correct answer.