A tradesman marks his goods at such a price that after allowing a discount of $15\%$, he earns a profile of $20\%$. Find the marked price of an article which costs him ₹$850$.

- ₹$1200$
- ₹$1300$
- ₹$1250$
- ₹$1350$

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A tradesman marks his goods at such a price that after allowing a discount of $15\%$, he earns a profile of $20\%$. Find the marked price of an article which costs him ₹$850$.

- ₹$1200$
- ₹$1300$
- ₹$1250$
- ₹$1350$

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**Cost** **Price** (CP): The cost price of the article is ₹850.

**Selling** **Price** (SP): After allowing a discount of 15%, the selling price is 85% of the marked price: SP = 0.85x.

Profit Percentage Formula: The formula to calculate the profit percentage is given by:

Profit Percentage = ((Selling Price - Cost Price) / Cost Price) * 100 (Sp-cp) /cp *100

Given Profit Percentage: It's mentioned that the tradesman earns a profit of 20%. So, we can write:

Profit Percentage = 20%.

Substitute Values: Substituting the values, we get:

(0.85x - 850) / 850 = 20 / 100

Solve for 'x':

0.85x - 850 = 0.2 * 850

0.85x - 850 = 170

0.85x = 1020

x = 1020 / 0.85

x = 1200

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