Ankit and Raju decided to start a business, and they invested Rs. 5500 and Rs. 6500 respectively. After 11 months, the difference between their profits is Rs. 680. Find the total profit.

Question

Accepted Answer

#### Step 1: Profit Sharing Ratio
The profit-sharing ratio is based on their investments:  
$$
	ext{Ankit : Raju} = 5500 : 6500 = 11 : 13.
$$

#### Step 2: Let Total Profit Be $$ z $$
- Ankit's share of the profit:  
$$
\frac{11}{24} 	imes z.
$$  
- Raju's share of the profit:  
$$
\frac{13}{24} 	imes z.
$$

#### Step 3: Difference in Profits
The difference between their profits is given as Rs. 680:  
$$
\frac{13}{24}z - \frac{11}{24}z = 680.
$$

Simplify:  
$$
\frac{2}{24}z = 680.
$$  
$$
\frac{z}{12} = 680.
$$  
$$
z = 680 	imes 12 = 8160.
$$

#### Step 4: Verify the Total Profit
The total profit is **Rs. 8160**, which satisfies the given conditions.

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Thus, the correct answer is **1. Rs. 8160**.

Answer

Answer

Answer