Question

Observe the following table showing the yearly commission earned (figures in Rupees) by five salesmen and answer the question below.

Year	Salesman A	Salesman B	Salesman C	Salesman D	Salesman E
1990	27350	26850	26200	27850	28640
1991	28500	27900	27900	30040	29000
1992	25200	27400	28200	29800	28750
1993	29800	28000	29100	30060	30000
1994	24600	28500	29400	29800	29750
1995	27000	29000	30000	32000	29700

In the year 1994, the commission earned by salesman D was approximately what percent more of the commission earned by A?

• A. 18
• B. 82.5
• C. 21
• D. 17

Hint:

Find the rupee difference between D's and A's 1994 commission, then divide by A's commission and multiply by 100.

Answer 1

The Correct Option is C

Step 1: Read the 1994 row of the table.
In 1994, Salesman A earned Rs. 24600 and Salesman D earned Rs. 29800, as shown in the year-wise commission table.
Step 2: Set up a ratio of D's commission to A's commission.
D / A = 29800 / 24600. Simplify this fraction by dividing numerator and denominator by 200: 29800/200 = 149, 24600/200 = 123. So D / A = 149 / 123 = 1.2114 approximately.
Step 3: Convert the ratio into a "percent more" figure.
Since D / A = 1.2114, D's commission is 1.2114 times A's commission, which means D is (1.2114 - 1) = 0.2114 times, or about 21.14 percent, more than A.
Step 4: Round and compare with the choices.
21.14 percent rounds to approximately 21 percent, which is much closer to option (3), 21 percent, than to any of the other listed values (18, 82.5, 17).
Step 5: Rule out the distractors.
82.5 percent would only appear from a mistaken calculation using the difference as the base instead of A's commission; 18 and 17 percent are simply too low to match the actual gap of roughly a fifth of A's value.
D's 1994 commission is approximately 21 percent more than A's. \[\boxed{21\%}\]