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

If 40% defective from brand MI and 60% from LG are sold defective TV by shop B them find the non-defective (both MI & LG) TV sold by shop B?

Options

A

180

B

280

C

260

D

160

Show Answer

Correct Answer :

Option B

280

Solution :

Correct Answer: The correct answer is 280.

Step-by-step explanation:

Step 1: Calculate the total number of MI TVs and LG TVs sold by Shop B.
From the given table, for Shop B:
Total number of TVs (MI + LG) = 550
Ratio of MI TVs : LG TVs = 6 : 5

Total ratio parts = 6 + 5 = 11

Number of MI TVs sold by Shop B:
MI TVs=611Ă—550=300

Number of LG TVs sold by Shop B:
LG TVs=511Ă—550=250

Step 2: Calculate the number of non-defective TVs for each brand.

For brand MI:
Defective percentage = 40%
Non-defective percentage = 100% - 40% = 60%

Number of non-defective MI TVs:
Non-defective MI TVs=60% of 300=60100Ă—300=180

For brand LG:
Defective percentage = 60%
Non-defective percentage = 100% - 60% = 40%

Number of non-defective LG TVs:
Non-defective LG TVs=40% of 250=40100Ă—250=100

Step 3: Calculate total non-defective TVs sold by Shop B.

Total non-defective TVs (MI + LG):
Total non-defective TVs=180+100=280

Therefore, the total number of non-defective TVs sold by Shop B is 280.

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