AniketK2000
A developer sold 20 percent fewer houses in October than in September and 50 percent more houses in November than in October. If the developer sold
H houses in September, which of the following represents the number of houses the developer sold in November?
(A) 0.3
H(B) 0.7
H(C) 1.2
H(D) 3
H(E) 7
HTwo ways to solving
1. Using smart numbersLet's assume that the developer sold 100 houses in September.
H = 100
Quote:
A developer sold 20 percent fewer houses in October than in September
Houses sold in October = \((1-\frac{20}{100}) * 100 = 80\)
Quote:
50 percent more houses in November than in October
Houses sold in November = \((1+\frac{50}{100}) * 80 = 120\)
Quote:
which of the following represents the number of houses the developer sold in November?
We know that, H = 100, therefore
120 = 1.2H
Option C 2. AlgebraNumber of house sold in September = H
Quote:
A developer sold 20 percent fewer houses in October than in September
Houses sold in October = \((1-\frac{20}{100}) * H = 0.8H\)
Quote:
50 percent more houses in November than in October
Houses sold in November = \((1+\frac{50}{100}) * 0.8H = 1.2H\)
Option C