The table given below shows the cost price and value of profit of 6 articles.

Articles  Cost price Profit 
D 700 200
E 600 150
F 400 300
G 500 400
H 300  250
I 800 350

Which of the following statement is NOT correct?

I. The profit of D, E and F is 30.63 percent of the cost price of G, H and I.

II. The ratio of total cost price to the total profit is 1 ∶ 2.

This question was previously asked in
SSC CHSL Tier-I Exam 2022 Official Paper (Held On: 10 March, 2023 Shift 2)
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  1. Both I and II
  2. Only II
  3. Only I
  4. Neither I nor II

Answer (Detailed Solution Below)

Option 1 : Both I and II
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SSC CHSL Exam 2023 Tier-I Official Paper (Held On: 02 Aug 2023 Shift 1)
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Detailed Solution

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Calculation:

Total cost price of articles D, E, and F = 700 + 600 + 400 = 1700

Total cost price of articles G, H, and I = 500 + 300 + 800 = 1600

Total profit of articles D, E, and F = 200 + 150 + 300 = 650

Total profit of articles G, H, and I = 400 + 250 + 350 = 1000

Statement I: The profit of D, E and F is 30.63 percent of the cost price of G, H and I.

Profit of D, E and F = 200 + 150 + 300 = 650

Cost price of G, H, and I = 500 + 300 + 800 = 1600

The percentage is (650/1600) × 100 = 40.625%

So, this statement is incorrect.

Statement II: The ratio of total cost price to the total profit is 1 ∶ 2.

Total cost price = 1700 + 1600 = 3300

Total profit = 650 + 1000 = 1650

The ratio of total cost price to the total profit is 3300 : 1650 = 2 : 1

So, this statement is also incorrect.

Therefore, both statements are incorrect.

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