Comprehension

The pie shows the percentage distribution of the total number of products manufactured in five different companies [P, Q, R, S and T] in 2022.  

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The pie shows the percentage distribution of the total number of products sold by Same five companies in 2022.

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Note – Value first pie chart is 20000 and value of 2nd pie chart is 12000

The average number of products manufactured by Q, S, and V is 2500. Also, V sold only 33⅓% of the total products sold by P.
Find the number of unsold products by V.

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  1. 1050
  2. 1960
  3. 1100
  4. 1900
  5. 1324

Answer (Detailed Solution Below)

Option 4 : 1900
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Detailed Solution

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Common Calculation

Company

Product manufactured in 2022

Product Sold in 2022

Product unsold in 2022

P

20000 × [20 /100] = 4000

12000 × [15/100] = 1800

4000 – 1800 = 2200

Q

20000 × [15/100] = 3000

12000 × [18/100] = 2160

3000 – 2160 = 840

R

5000

3480

1520

S

2000

1440

560

T

6000

3120

2880

 

Calculation

Average manufactured by Q, S, V = 2500

From table:
Q = 3000, S = 2000
Let V = x

So, [3000 + 2000 + x]/3=2500

⇒ 5000 + x = 7500

⇒ x =2500

So, V manufactured = 2500

V sold 33⅓% of P’s sold products
P sold = 1800

[1/3] × 1800 = 600  

So, V sold = 600

⇒ Unsold = 2500 - 600 = 1900

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