A person spends 25% of his income on goods of daily uses. Furthermore, he spends 18% of the rest on house rent and 16% of the rest on travel. After that, only Rs. 861 is left with him. What is his salary?

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SSC CGL 2023 Tier-I Official Paper (Held On: 24 Jul 2023 Shift 3)
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  1. Rs. 1852\(\frac{1}{3}\)
  2. Rs. 1666\(\frac{2}{3}\)
  3. Rs. 1563\(\frac{1}{3}\)
  4. Rs. 1426\(\frac{1}{3}\)

Answer (Detailed Solution Below)

Option 2 : Rs. 1666\(\frac{2}{3}\)
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Detailed Solution

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Given:

Spending on daily uses = 25%

Spending on house rent = 18%

Spending on travel = 16%

Saving = Rs. 861

Calculation:

Let total salary = a

25% = 1/4

18% = 9/50

16% = 4/25

⇒ a × 3/4 × 41/50 × 21/25 = 861

⇒ a = (861 × 50 × 25 × 4)/(3 × 41 × 21)

⇒ a = 5000/3

⇒ a = 1666(2/3).

The total salary is 1666(2/3).

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