GATE EE 2018 Set 1 — Question 9
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General Aptitude → Quantitative Aptitude → Ratios, Percentages, Powers, Exponents & Logarithms
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Question
A designer uses marbles of four different colours for his designs. The cost of each marble is the same, irrespective of the colour. The table below shows the percentage of marbles of each colour used in the current design. The cost of each marble increased by 25%. Therefore, the designer decided to reduce equal numbers of marbles of each colour to keep the total cost unchanged. What is the percentage of blue marbles in the new design?
| Blue | Black | Red | Yellow |
|---|---|---|---|
| 40% | 25% | 20% | 15% |
Correct answer
(C) 43.75
Solution
1.Initial State:
Assume total marbles = 100. Blue = 40, Black = 25, Red = 20, Yellow = 15.
Let initial cost per marble = 1 unit. Total cost = 100 units.
2.New State:
New cost per marble = units.To keep total cost at 100 units, the new total number of marbles must be:
marbles.
3.Reduction:
Total reduction in marbles = marbles.Since equal numbers of marbles of each of the 4 colours are reduced:
Reduction per colour = marbles.
4.New Blue Marble Percentage:
New number of blue marbles = .New total marbles = 80.
Percentage of blue marbles = .
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