A person bought a book at 20% discount and sold it at 10% discount. In whole transection he got profit of 10 then find M.P. of book?

Answer

To solve the problem step by step, we will denote the Marked Price (M.P.) of the book as \( x \).

### Step 1: Calculate the Cost Price (C.P.)
The person bought the book at a 20% discount. Therefore, the Cost Price can be calculated as follows:

\[ \text{C.P.} = \text{M.P.} - \text{Discount on M.P.} \]
\[ \text{C.P.} = x - 0.20x = 0.80x \]

### Step 2: Calculate the Selling Price (S.P.)
The person sold the book at a 10% discount. Therefore, the Selling Price can be calculated as follows:

\[ \text{S.P.} = \text{M.P.} - \text{Discount on M.P.} \]
\[ \text{S.P.} = x - 0.10x = 0.90x \]

### Step 3: Calculate the Profit
According to the problem, the profit made from the transaction is Rs. 10. Profit can be calculated using the formula:

\[ \text{Profit} = \text{S.P.} - \text{C.P.} \]
Substituting the values we calculated:

\[ 10 = 0.90x - 0.80x \]
\[ 10 = 0.10x \]

### Step 4: Solve for Marked Price (M.P.)
To find the Marked Price, we can rearrange the equation:

\[ x = \frac{10}{0.10} \]
\[ x = 100 \]

### Conclusion
The Marked Price of the book is Rs. 100.

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