) A designer uses marbles of four different colors for his designs. The cost of each
marble is the same, irrespective of the color. The table below shows the percentage of
marbles of each color 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 color
to keep the total cost unchanged. What is the percentage of blue marbles in the new
design
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Answer:
Assuming total marbles =100
& Cost of each marble =1 Re.
∴ To buy 100 marbles designer need to spend 100×1=100 Rs.
After increasing price cost of 100 marbles = 125 Rs.
Now, at 100 Rs. the designer can buy 100125×100= 80 marbles
the designer decided to reduce equal numbers of marbles of each colour to keep the total cost unchanged.
Therefore (40−x)+(25−x)+(20−x)+(15−x)=80
4x=100−80
x=5
Percentage of blue marbles in the new design =40−580×100
=3580×100
=43.75
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