Comprehension

The following table shows (i) the percentage distribution of total number of products P and Q produced by six companies A-F. (ii) the ratio of P to Q, and (iii) the percentage sale of P and Q. Total number of products P and Q produced by these companies is 8 lakhs. Based on the data in the table answer the questions:

Company-wise distribution and sale of products

Company Distribution (%) of P and Q Ratio Sale (%)
P Q P Q
A 24% 5 3 65% 62%
B 18% 5 4 56% 78%
C 15% 2 3 72% 66%
D 28% 3 4 75% 60%
E 7% 4 3 64% 55%
F 8% 3 2 50% 48%

The number of products P sold by company A is ______ % of the number of products P sold by company F.

This question was previously asked in
UGC NET Paper 1: Held on 3rd Mar 2023 Shift 2
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  1. 40.625
  2. 120
  3. 296.5
  4. 406.25

Answer (Detailed Solution Below)

Option 4 : 406.25
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UGC NET Paper 1: Held on 21st August 2024 Shift 1
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Detailed Solution

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Calculation:

Total number of products P sold by Company A = (0.65) × \(\dfrac{5}{5 + 3} \) × (0.24) × 8 lakhs = 78,000

Total number of products P sold by Company F = (0.50) × \(\dfrac{3}{3 + 2} \) × (0.08) × 8 lakhs = 19,200

Required percentage = \(\dfrac{78000}{19200}\) × 100 = 406.25%

∴ The number of products P sold by company A is 406.25% of the number of products P sold by company F.

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