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

Out of the products manufactured by T, 75% are non-defective and 25% are defective. If 2/5 of the defective products are unsold, Find the ratio of non-defective products sold to non-defective products unsold for company T?

This question was previously asked in
RRB PO Mains Memory Based Paper (Held On: 29 September 2024 Shift 1)
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  1. 29 : 27
  2. 2 : 1
  3. 37 : 38
  4. 3 : 4
  5. 3 : 2

Answer (Detailed Solution Below)

Option 3 : 37 : 38
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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

T manufactured = 6000
non-defective = 75%

 ⇒ 0.75 × 6000 = 4500

Defective = 1500
⇒ 2/5 defective unsold = [2/5] × 1500 = 600

⇒ Defective sold = 1500 - 600 = 900

Total sold = 3120
⇒ non-defective sold = 3120 - 900 = 2220
non-defective = 4500
⇒ non-defective unsold = 4500 - 2220 = 2280

Ratio = Sold : Unsold = 2220 : 2280

⇒ 37 : 38

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