JIPMAT 2022 (LR) - array|c|c| Color & Light : Dark \\ Red & 3 : 4 \\ Blue & 5 : 3 \\ Green & 1 : 3 \\ Pink & 1 : 7 \\ Yellow & 9 : 5 \\ Orange & 7 : 9 \\ array 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. How many dark red balls are there in the box? | PYQs + Solutions

JIPMAT 2022

Logical Reasoning

Pie Chart

Easy

$\begin{array}{|c|c|} \hline \textbf{Color} & \textbf{Light : Dark} \\ \hline \text{Red} & 3 : 4 \\ \text{Blue} & 5 : 3 \\ \text{Green} & 1 : 3 \\ \text{Pink} & 1 : 7 \\ \text{Yellow} & 9 : 5 \\ \text{Orange} & 7 : 9 \\ \hline \end{array}$
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. How many dark red balls are there in the box?

110

120

130

140

Correct Option: 2

The total number of balls is given as

1000

\newline

The percentage of red balls is

21\%

\newline

Hence, the number of red balls is calculated as:

\text{Number of red balls} = 21\% \times 1000 = \frac{21}{100} \times 1000 = 210

The light-to-dark ratio for red balls is

3:4

\newline

This means, for every

7

parts (

3 + 4

3

parts are light, and

4

parts are dark.

The number of dark red balls is:

\text{Dark red balls} = \frac{4}{7} \times 210 = 120

Related questions:

JIPMAT 2021

JIPMAT 2022

JIPMAT 2022