The sales of an article increase by 50% every week. What are the sales in the third week, if the difference between the sales in the third week and the second week is 600?

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HPCL Engineer Electrical 01 Nov 2022 Official Paper
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  1. 1800
  2. 900
  3. 1500 
  4. 1200

Answer (Detailed Solution Below)

Option 1 : 1800
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Detailed Solution

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Given:

The sales of an article increase by 50% every week. 

The difference between the sales in the third week and the second week is 600.

Concept used:

Incremented/Reduced value = Initial value (1 ± change%)

Calculation:

Let the sales of the articles be N in the first week.

Sales in the second week = N + N × 50% = 1.5N

Sales in the third week = 1.5N + 1.5N × 50% = 2.25N

According to the question,

2.25N - 1.5N = 600

⇒ 0.75N = 600

⇒ N = 600/0.75

⇒ N = 800

Now, the sales in the third week = 2.25 × 800 = 1800

∴ The sales in the third week are 1800.

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