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A person spends 50% of his monthly salary on house rent. If he spends ₹912 on transport and ₹3,799 on groceries every month and saves the remaining ₹1
Question

A person spends 50% of his monthly salary on house rent. If he spends ₹912 on transport and ₹3,799 on groceries every month and saves the remaining ₹131, then find his monthly salary (in ₹).

A.

9,739

B.

9,684

C.

9,728

D.

9,740

Correct option is B

Given:
Spend on Rent = 50% of Salary.
Remaining = 50% of Salary.
Expenses from remaining: Transport (₹912), Groceries (₹3799).
Savings = ₹131.
Solution:
Calculate the total value of the remaining 50% part.
Remaining=Transport+Groceries+SavingsRemaining=912+3799+131Remaining=4842\text{Remaining} = \text{Transport} + \text{Groceries} + \text{Savings} \\\text{Remaining} = 912 + 3799 + 131\\\text{Remaining} = 4842​​
Since this remaining amount is 50% of the total salary, the total salary is double this amount.
50% of Salary=4842Salary=4842×2Salary=968450\% \text{ of Salary} = 4842 \\\text{Salary} = 4842 \times 2\\\text{Salary} = 9684​​
Exam-Hall Method:
Sum the absolute values: 912 + 3799 + 131 = 4842.
Since 50% is gone in rent, this sum represents the other 50%.
Total =4842×2=9684.= 4842 \times 2 = 9684.​​
So the correct answer is (b)

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