Ashish buys a T.V at a discount of 15 %.If he buys the same T.V at a discount of 12.5%, then he would have to pay Rs 175 more. Find the marked price of T.V? (in Rs.)

Options

A. A)6000
B. B)7000
C. C)5000
D. D)6500

Answer

To find the marked price of the T.V. that Ashish buys, we can follow these steps:

### Step 1: Define the variables
Let the marked price of the T.V. be represented as \( M \).

### Step 2: Calculate the selling price with a 15% discount
If Ashish buys the T.V. at a 15% discount, the selling price (SP1) can be calculated as:
\[ SP1 = M - (15\% \text{ of } M) = M - 0.15M = 0.85M \]

### Step 3: Calculate the selling price with a 12.5% discount
If he buys the T.V. at a 12.5% discount, the selling price (SP2) can be calculated as:
\[ SP2 = M - (12.5\% \text{ of } M) = M - 0.125M = 0.875M \]

### Step 4: Set up the equation based on the information given
According to the problem, the difference between the two selling prices is Rs 175:
\[ SP2 - SP1 = 175 \]
Substituting the expressions for SP1 and SP2:
\[ 0.875M - 0.85M = 175 \]

### Step 5: Simplify the equation
\[ 0.025M = 175 \]

### Step 6: Solve for M
To find the marked price \( M \), divide both sides by 0.025:
\[ M = \frac{175}{0.025} = 7000 \]

### Conclusion
The marked price of the T.V. is Rs 7000.

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