The number of books sold by Ravi in the first month is 10% less than that sold in the fourth month. If the average number of books sold by him in the first three months is 730 and in the first four months is 850, then find the number of books sold by him in the first month. 

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AAI ATC Junior Executive 21 Feb 2023 Shift 1 Official Paper
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  1. 1077
  2. 1089
  3. 1086
  4. 1088

Answer (Detailed Solution Below)

Option 2 : 1089
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Given:

The average number of books sold in first 3 months = 730

The average number of books sold in first 4 months = 850

Formula used:

Sum of observations = Average × Number of observations

Calculation:

Total number of books sold in first 3 month = 730 × 3 = 2190

Total number of books sold in first 4 month = 850 × 4 = 3400

Number of books sold in 4th month = 3400 - 2190 = 1210

Books sold in First month = 10% less than books sold in 4th month

∴ Books sold in First month = 90% of the books sold in 4th month

⇒ 1210 × 90/100 = 1089

Hence, Books sold by Ravi in First month is 1089.

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