bm07biswas
Help me:
The annual rent collected by corporation from a certain building was x percent more in 1998 than in 1997 & y percent less in
1999 than in 1998.Was the annual rent collected by the corporation from the building more in 1999 than in 1997?
1)x greater than y
2)xy/100 less than x-y
\(R_8 = (1 + \frac{x}{100})R_7\)
\(R_9 = (1 - \frac{x}{100})R_8 = (1 +\frac{x}{100})(1 - \frac{y}{100})R_7\)
\(R_9 = (1 + \frac{x}{100} - \frac{y}{100} - \frac{xy}{10000})R_7\)
So, question is basically asking:
Is \((1 + \frac{x}{100} - \frac{y}{100} - \frac{xy}{10000}) > 1\)
or Is \(x - y > \frac{xy}{100}\)
1) Clearly Insufficient. x = 150, y = 149. Answer is no. x = 2, y = 1. Answer is yes
2) Sufficient. Gives the direct answer.
Answer should be B.