**Often there are subtle differences in questions. Consider these two problems.**

**Question One**: After 100 at bats a hitter has 15 singles, 5 doubles, 1 triple and 3 homeruns. His slugging percentage last year was 25% higher than his current slugging percentage at this point in the season last year. What was his slugging percentage at this point in the season last year?

**Answer**: His current slugging percentage after 100 at bats is

SLGP=(15x1+5x2+1x3+3x4)/100

SLGP=(45/100)=0.450

His slugging percentage last year was

LYSLG =0.450x(1+0.250)=0.5625.

**Question Two**: A batter’s slugging percentage was 25% below its level from the previous year. His current slugging percentage is 0.450. What was his slugging percentage last year?

**Answer**: The slugging percentage last year is denoted by LGSP

0.450=(1-.25)xLGSP

LGSP=0.450/0.75

LGSP=0.600.

(NOTE THAT 25% OF 0.600 IS 0.150 AND THAT 0.600-0.150 IS
0.450.)

**Why the difference?**

A 25% drop from last year’s high slugging percentage is a
larger decline than a 25% increase from the current lower level.

0.25 X 0.450 < 0.25 X 0.600

Is this explanation clear?

If not help me improve it!!!!!

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