Answer:
Let's break down the problem step by step:
Step-by-step explanation:
1. **Initial Profit Margin:**
The person sells mangoes at a profit of 35%. This means that the selling price is 135% of the cost price.
2. **New Profit Margin:**
When the selling price decreases by 10 paise, the profit margin reduces to 20%. This means that the selling price is 120% of the cost price.
3. **Formulas:**
Let's denote the cost price of each mango as \( C \) and the selling price as \( S \).
- Initial selling price: \( S_1 = 1.35C \)
- New selling price: \( S_2 = 1.20C \)
4. **Given Difference:**
The difference between the two selling prices is 10 paise. So, \( S_1 - S_2 = 10 \) paise.
5. **Equation:**
Substituting the expressions for \( S_1 \) and \( S_2 \) into the equation \( S_1 - S_2 = 10 \), we get:
\[ 1.35C - 1.20C = 10 \]
6. **Solve for Cost Price:**
\[ 0.15C = 10 \]
\[ C = \frac{10}{0.15} = \frac{1000}{15} = \frac{200}{3} \]
7. **Find Selling Price:**
Now, substitute the cost price back into the initial selling price formula to find the selling price:
\[ S_1 = 1.35 \times \frac{200}{3} = \frac{270}{3} = 90 \]
So, the selling price of each mango is indeed 90 paise.
