The price of a shirt after 15% discount, is Rs 119. What was the marked price of the shirt before discount?
किसी कमीज का मूल्य 15% की छूट देने के बाद ₹ 119 है। छूट के पहले कमीज का अंकित मूल्य क्या था?

Options

A. ₹ 129
B. ₹ 140
C. ₹ 150
D. ₹ 160

Explanation

To find the marked price of the shirt before the 15% discount, we can follow these steps:

### Step 1: Understand the relationship between marked price, selling price, and discount.
The selling price (SP) after a discount can be calculated using the formula:
\[ \text{SP} = \text{Marked Price} - \text{Discount} \]

### Step 2: Express the discount in terms of the marked price.
If the marked price is denoted as \( MP \), then the discount can be expressed as:
\[ \text{Discount} = 15\% \text{ of } MP = \frac{15}{100} \times MP = 0.15 \times MP \]

### Step 3: Substitute the discount into the selling price formula.
Now, we can rewrite the selling price formula:
\[ SP = MP - 0.15 \times MP \]
This simplifies to:
\[ SP = MP (1 - 0.15) \]
\[ SP = MP \times 0.85 \]

### Step 4: Substitute the known selling price into the equation.
We know from the problem that the selling price (SP) is Rs 119:
\[ 119 = MP \times 0.85 \]

### Step 5: Solve for the marked price (MP).
To find the marked price, we can rearrange the equation:
\[ MP = \frac{119}{0.85} \]

### Step 6: Calculate the marked price.
Now, performing the calculation:
\[ MP = \frac{119}{0.85} \approx 140 \]

Thus, the marked price of the shirt before the discount was approximately Rs 140.

### Final Answer:
The marked price of the shirt before the discount was Rs 140.

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