Question Details

Read the following table carefully and answer the following question.
Following table shows total number of T.V. sold by five shop (A, B, C, D and E) which sells two brand TV i.e., MI and LG and ratio of number of MI TV sold to number of LG TV sold in by each five shops.

Shops Total number of TV (MI and LG) Ratio of MI TV : LG TV
A 400
2 : 3
B 550
6 : 5
C 700
3 : 4
D 600
8 : 7
E 250
11 : 14

Find the difference between total number of LG TV sold by shop D and E together to total number of LG TV sold by shop B and A together?

Options

A

45

B

50

C

55

D

70

Show Answer

Correct Answer :

Option D

70

Solution :

The correct answer is 70.

Step-by-step Explanation:
Let us first calculate the number of LG TVs sold by each relevant shop using the total number of TVs and the given ratio of MI TV : LG TV.

1. LG TVs sold by Shop A:
Total TVs sold by Shop A = 400
Ratio of MI : LG = 2 : 3
Total ratio parts = 2 + 3 = 5
Number of LG TVs sold by Shop A = 400 × 3 5 = 240

2. LG TVs sold by Shop B:
Total TVs sold by Shop B = 550
Ratio of MI : LG = 6 : 5
Total ratio parts = 6 + 5 = 11
Number of LG TVs sold by Shop B = 550 × 5 11 = 250

3. LG TVs sold by Shop D:
Total TVs sold by Shop D = 600
Ratio of MI : LG = 8 : 7
Total ratio parts = 8 + 7 = 15
Number of LG TVs sold by Shop D = 600 × 7 15 = 280

4. LG TVs sold by Shop E:
Total TVs sold by Shop E = 250
Ratio of MI : LG = 11 : 14
Total ratio parts = 11 + 14 = 25
Number of LG TVs sold by Shop E = 250 × 14 25 = 140

5. Total LG TVs sold by Shop D and E together:
280 + 140 = 420

6. Total LG TVs sold by Shop B and A together:
250 + 240 = 490

7. Required Difference:
490 - 420 = 70

Thus, the difference between the total number of LG TVs sold by shop D and E together and shop B and A together is 70.

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