From 1984 to 1987, what's the percent change in number of the insured worker in ABC program?
(1) 65% workers are insured in 1984
(2) 78% are insured in 1987
Let the number of insured workers in the year 1984 be X, and that in 1987 be Y. We need to find out the value of:
(Y-X)/X * 100.
Now, let's look at each statement individually and then at both of them together (if required):
Statement 1: 65% workers are insured in 1984
=> X/Total number of workers in 1984 * 100 = 65
As we have no clue about the total number of workers in 1984, we cannot deduce the value of X, and there's no information given regarding the value of Y as well. Hence, Statement 1 is insufficient alone.
Now, let's take a look at Statement 2 closely:
Statement 2: 78% are insured in 1987
=> Y/Total number of workers in 1987 * 100 = 78
Similar to Statement 1, as we have no clue about the total number of workers in 1987, we cannot deduce the value of Y, and there's no information given regarding the value of X. Hence, Statement 2 is insufficient alone as well.
Now, let's look at the combination of both the statements:
Looking at both the statements together, we still have no clue about the total number of workers in 1984 and 1987. Since totals can vary, percent change varies.
Thus, even after using both the statements together, a unique answer cannot be determined.
Hence, the correct answer is
Option E - Statements (1) and (2) TOGETHER are NOT sufficient.
Hope this helps!