## Question

### Comprehension

Directions: Study the chart carefully and the questions that follow.

The pie charts show the distribution of the total number of cookies sold by companies A, B, C, and D and the distribution of chocolate flavor cookies sold by companies A, B, C, and D respectively. Also, Total Cookies = Chocolate Cookies + Butterscotch flavor cookies.

Number of Butterscotch flavor cookies sold by A = 110

Number of Butterscotch flavor cookies sold by B = 30

# The total number of Butterscotch cookies sold by all companies together is approximate how much percentage more or less than the total number of chocolate cookies sold by all the companies together?

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IBPS PO Mains Memory Based Paper 4th Feb 2021
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1. 50%
2. 33.33%
3. 60%
4. 30%
5. None of these

Option 2 : 33.33%

## Detailed Solution

From the given pie charts, we have:

(N + 5) + N + (N + 20) + 2N = 100

⇒ N = 15

Also, M + 20 + (M + 10) + 40 = 100

⇒ M = 15

Let the total number of cookies sold be x

Also, total number of cookies sold by A = (20/100) × x = 0.2x

Also, the number of Butterscotch cookies sold by A = 110

So, the number of chocolate cookies sold by A = 0.2x – 110

Hence, 0.2x – 110 = (15/100) × total number of chocolate cookies      ----(i)

Similarly,

Also, total number of cookies sold by B = (15/100) × x = 0.15x

Also, the number of Butterscotch cookies sold by B = 30

So, the number of chocolate cookies sold by B = 0.15x – 30

Hence, 0.15x – 30 = (20/100) × total number of chocolate cookies      ----(ii)

Multiply equation (i) by 3,

⇒ 0.6x – 330 = (45/100) × total number of chocolate cookies      ----(iii)

and equation (ii) by 4:

⇒ 0.6x – 120 = (80/100) × total number of chocolate cookies      ----(iv)

Subtract equation (iii) from equation (iv)

⇒ -120 + 330 = (0.8 – 0.45) × total number of chocolate cookies

⇒ Total number of chocolate cookies = 210/0.35 = 600

Also, from the pie chart of total cookies,

200 = (20/100) × total cookies
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