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Figure for JIPMAT 2022 LR question 15 (Data Interpretation)
ColorLight : Dark
Red3 : 4
Blue5 : 3
Green1 : 3
Pink1 : 7
Yellow9 : 5
Orange7 : 9

In a box, there are several balls. The pie-chart shows the percentage-wise distribution of 5 different colours of balls; and total number of balls = 1000. Also, the ratio of the light and dark shades of the six colours of balls is given.

What is the difference between number of light red balls and number of dark yellow balls?

Solution

✅ Correct Option: 1

For Red balls: Total percentage is 21%

Total red balls = 0.21×1000=2100.21 \times 1000 = 210 balls

Ratio of light:dark red = 3:43:4

Total parts for red = 3+4=73 + 4 = 7 parts

Light red balls = 37×210=90\frac{3}{7} \times 210 = 90 balls

For Yellow balls: Total percentage is 21%

Total yellow balls = 0.21×1000=2100.21 \times 1000 = 210 balls

Ratio of light:dark yellow = 9:59:5

Total parts for yellow = 9+5=149 + 5 = 14 parts

Dark yellow balls = 514×210=75\frac{5}{14} \times 210 = 75 balls

Therefore, difference between light red and dark yellow balls = 90−75=1590 - 75 = 15 balls

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