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Anil expenses 30% on his food, 10% cloth...

Anil expenses `30%` on his food, `10%` clothing and `25%` on entertainment his monthly income. If he saves `Rs.1400` per month then find out his monthly income.

A

a) `4000`

B

b) `3000`

C

c) `5000`

D

d) `6000`

Text Solution

AI Generated Solution

The correct Answer is:
To find Anil's monthly income based on his expenses and savings, we can follow these steps: ### Step 1: Understand the Expenses Anil spends: - 30% on food - 10% on clothing - 25% on entertainment ### Step 2: Calculate Total Expenses Add up the percentages of his expenses: \[ \text{Total Expenses} = 30\% + 10\% + 25\% = 65\% \] ### Step 3: Determine Savings Percentage Since Anil saves 1400, the remaining percentage of his income after expenses is: \[ \text{Savings Percentage} = 100\% - 65\% = 35\% \] ### Step 4: Set Up the Equation Let Anil's monthly income be \( x \). According to the problem, 35% of his income equals his savings of Rs. 1400: \[ 0.35x = 1400 \] ### Step 5: Solve for Monthly Income To find \( x \), divide both sides of the equation by 0.35: \[ x = \frac{1400}{0.35} \] ### Step 6: Calculate the Value Now, perform the division: \[ x = \frac{1400}{0.35} = 4000 \] ### Conclusion Anil's monthly income is Rs. 4000. ---
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