Anil and Sunil purchased a house for Rs. 1,23,00,000. Further they spent Rs. 15,00,000 on the renovation of the house. Out of the amount paid for purchasing the flat, 60% was contributed by Anil. Also, out of the amount paid for renovation, 40% was contributed by Anil. The remaining amount for purchasing the flat as well as renovation was contributed by Sunil. After the renovation was over, they gave the house on rent for Rs. 55,200 per month. The rent was shared by the two in the ratio of their share in the total amount spent on the house (purchase cost and renovation cost). How much amount (in Rs.) does Sunil receive every month out of the total rent?

To find out how much amount Sunil receives every month out of the total rent, we need to calculate the share of Sunil in the total amount spent on the house (including both the purchase cost and renovation cost). Then, we'll use this share to determine his portion of the monthly rent.

### Step 1: Calculate the amount contributed by Anil and Sunil for the purchase of the house.
- The purchase cost of the house: Rs. 1,23,00,000
- Anil's contribution: \( 60\% \) of Rs. 1,23,00,000
  \[
  \text{Anil's contribution} = \frac{60}{100} \times 1,23,00,000 = 73,80,000 \text{ Rs.}
  \]
- Sunil's contribution: The remaining \( 40\% \) of Rs. 1,23,00,000
  \[
  \text{Sunil's contribution} = \frac{40}{100} \times 1,23,00,000 = 49,20,000 \text{ Rs.}
  \]

### Step 2: Calculate the amount contributed by Anil and Sunil for the renovation.
- The renovation cost of the house: Rs. 15,00,000
- Anil's contribution: \( 40\% \) of Rs. 15,00,000
  \[
  \text{Anil's contribution} = \frac{40}{100} \times 15,00,000 = 6,00,000 \text{ Rs.}
  \]
- Sunil's contribution: The remaining \( 60\% \) of Rs. 15,00,000
  \[
  \text{Sunil's contribution} = \frac{60}{100} \times 15,00,000 = 9,00,000 \text{ Rs.}
  \]

### Step 3: Calculate the total amount contributed by Anil and Sunil.
- Anil's total contribution:
  \[
  \text{Anil's total contribution} = 73,80,000 + 6,00,000 = 79,80,000 \text{ Rs.}
  \]
- Sunil's total contribution:
  \[
  \text{Sunil's total contribution} = 49,20,000 + 9,00,000 = 58,20,000 \text{ Rs.}
  \]
- Total amount spent on the house (purchase cost + renovation cost):
  \[
  \text{Total amount} = 79,80,000 + 58,20,000 = 1,38,00,000 \text{ Rs.}
  \]

### Step 4: Calculate Sunil's share of the total rent.
- The monthly rent: Rs. 55,200
- Sunil's share in the total amount:
  \[
  \text{Sunil's share} = \frac{58,20,000}{1,38,00,000}
  \]
  Simplifying this:
  \[
  \text{Sunil's share} = \frac{582}{1380} = \frac{291}{690} \approx 0.4217 \text{ (rounded)}
  \]
- Sunil's share of the rent:
  \[
  \text{Sunil's rent share} = 0.4217 \times 55,200 = 23,260.56 \text{ Rs.}
  \]

So, Sunil receives approximately Rs. 23,261 every month out of the total rent.

Would you like any further details on this calculation or related concepts? Here are some follow-up questions you might find interesting:

1. What would Anil's monthly share of the rent be?
2. How would the shares change if Anil contributed 70% instead of 60% for the purchase?
3. What percentage of the total amount spent on the house does Sunil's renovation contribution represent?
4. How much would Sunil's share of the rent be if the monthly rent increased by 10%?
5. If the house value appreciated by 15%, what would the new value be?

**Tip:** When dividing rents or profits based on shares, always calculate each person's contribution as a fraction of the total investment.

Learn how to calculate Sunil's monthly rent share from a total house rent of Rs. 55,200. Understand the distribution based on contributions to the house purchase cost and renovation expenses. Suitable for high school students studying percentages and ratios.

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