Mohit has some money left after spending 35%, 15% and 30% of monthly salary on rent, electricity and shopping respectively. The remaining money with Mohit increases by when a friend gives him Rs. 2300. What is the monthly salary of Mohit?
Correct Answer :
Rs. 46000
Solution :
The correct answer is Rs. 46000.
Let's break down the problem step-by-step to find Mohit's monthly salary.
Step 1: Calculate the percentage of salary spent and the percentage remaining.
Mohit spends his salary on three things:
- Rent: 35% of monthly salary
- Electricity: 15% of monthly salary
- Shopping: 30% of monthly salary
Total percentage of salary spent is:
Let Mohit's total monthly salary be .
Since he spends 80% of his salary, the percentage of salary remaining with him is:
Thus, the remaining money is:
Step 2: Relate the remaining money to the money received from his friend.
According to the problem, the remaining money increases by
when a friend gives him Rs. 2300.
This means that Rs. 2300 is equal to
of the remaining money.
We can write this relation as:
Step 3: Solve for the remaining money.
To find the remaining money, multiply both sides of the equation by 4:
So, the remaining money is Rs. 9200.
Step 4: Solve for the monthly salary ().
We know from Step 1 that the remaining money is 20% of the monthly salary:
Multiplying both sides by 5 gives:
Therefore, the monthly salary of Mohit is Rs. 46000.
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