Question Details

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 14 when a friend gives him Rs. 2300. What is the monthly salary of Mohit?

Options

A

Rs. 76000

B

Rs. 50000

C

Rs. 46000

D

Rs. 70000

E

Rs. 60000

Show Answer

Correct Answer :

Option C

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:
35%+15%+30%=80%
Let Mohit's total monthly salary be S.
Since he spends 80% of his salary, the percentage of salary remaining with him is:
100%-80%=20%
Thus, the remaining money is:
Remaining Money=0.20×S

Step 2: Relate the remaining money to the money received from his friend.
According to the problem, the remaining money increases by 14 when a friend gives him Rs. 2300.
This means that Rs. 2300 is equal to 14 of the remaining money.
We can write this relation as:
14×(Remaining Money)=2300

Step 3: Solve for the remaining money.
To find the remaining money, multiply both sides of the equation by 4:
Remaining Money=2300×4
Remaining Money=9200
So, the remaining money is Rs. 9200.

Step 4: Solve for the monthly salary (S).
We know from Step 1 that the remaining money is 20% of the monthly salary:
20% of S=9200
20100×S=9200
15×S=9200
Multiplying both sides by 5 gives:
S=9200×5
S=46000

Therefore, the monthly salary of Mohit is Rs. 46000.

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