A father gives 8% of his monthly income to both his sons as pocket money. The elder son gets 85% of the total amount given to both sons. He spends 90% of the amount and saves Rs. 17. What is the monthly income of his father?

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SSC CGL 2023 Tier-I Official Paper (Held On: 26 Jul 2023 Shift 3)
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  1. Rs. 5,000
  2. Rs. 4,500
  3. Rs. 3,500
  4. Rs. 2,500

Answer (Detailed Solution Below)

Option 4 : Rs. 2,500
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Detailed Solution

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Given:-

 A father gives 8% of his monthly income to both his sons as pocket money 

The elder son gets 85% of the total amount given to both sons.

He spends 90% of the amount and saves Rs. 17. 

Calculation:- 

Let 100M represent the monthly income of the father. 

Then part of the salary was given to the two sons as pocket money 

⇒ 100M × 8/100 = 8M.

Now The elder son gets 85% of the total amount given to both sons.

 ⇒ (8M × 85)/100 ....... (1)

The second part of the question, 

The elder son spends 90% of the amount and saves Rs. 17.
which means  

⇒ Elder son pocket money × 10% = 17  

⇒ Elder son pocket money = 170Rs

Comparing the Elder son's pocket money from the equation,  

⇒ (8M × 85)/100 = 170  

⇒ M = 200/8 

The monthly income of the father. = 100M = (200/8) × 100 = 2500 "

∴ The required answer is 2500.

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