Question : The company manufactures boxes of three types - plastic, wood and glass. The ratio of the numbers of plastic, wood and glass boxes is 2 : 3 : 5. The difference between the numbers of wood and glass boxes is 144. If the number of plastic boxes is increased by 25%, then what will be the number of plastic boxes now?
Option 1: 144
Option 2: 360
Option 3: 216
Option 4: 180
Correct Answer: 180
Solution :
Let the number of plastic, wood, and glass boxes as P, W, and G respectively.
Given that the ratio of P : W : G is 2 : 3 : 5.
W = 1.5P and G = 2.5P
We also know that the difference between the number of wood and glass boxes is 144.
⇒ G – W = 144
Substituting W and G from the first set of equations into the second equation,
⇒ 2.5P – 1.5P = 144
$\therefore$ P = 144
If the number of plastic boxes is increased by 25%, then the new number of plastic boxes will be 1.25P = 1.25 × 144 = 180.
Hence, the correct answer is 180.
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