Raja donates 29% of his savings to old age home, 30% of the savings to orphanage and 17% of his savings to foundations for medical help. The remaining amount of Rs.7200 of savings is been deposited in bank. Find the salary of Raja, if 50% of the salary is his savings amount.(in Rs.)

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UP Police SI (दरोगा) Official PYP (Held On: 14 Nov 2021 Shift 3)
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  1. 40000
  2. 55000
  3. 20000
  4. 60000

Answer (Detailed Solution Below)

Option 4 : 60000
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यूपी पुलिस SI (दरोगा) सामान्य हिंदी मॉक टेस्ट
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20 Questions 50 Marks 10 Mins

Detailed Solution

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Given:

Remaining savings deposited in the bank = ₹7200

Savings = 50% of his salary

Formula used:

Total Savings = Salary × 50%

Percentage of savings donated = 29% + 30% + 17% = 76%

Remaining savings = Total Savings × (1 - 76%)

Calculation:

⇒ Let the salary of Raja = x

⇒ Total Savings = x × 50% = 0.5x

⇒ Remaining Savings = Total Savings × (1 - 0.76)

⇒ 7200 = (0.5x) × 0.24

⇒ 7200 = 0.5x × 0.24

⇒ 7200 = 0.12x

⇒ x = 60000

∴ The salary of Raja is ₹60000, and the correct answer is option (4).

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