If the sales tax on a television set increases from 7 `1/2` % to 8%.what more amount will have to be paid for the television whose price (excluding sales taxes) is 19000 ?

Options

A. 190
B. 95
C. 180
D. 90

Answer

To solve the problem, we need to calculate the difference in sales tax due to the increase from 7.5% to 8% on a television set priced at ₹19,000. Here’s a step-by-step solution:

### Step 1: Calculate the original sales tax at 7.5%
The original sales tax rate is 7.5%. To find the sales tax amount, we use the formula:

\[ \text{Sales Tax} = \text{Price} \times \left(\frac{\text{Tax Rate}}{100}\right) \]

Substituting the values:

\[ \text{Sales Tax} = 19000 \times \left(\frac{7.5}{100}\right) \]

Calculating this gives:

\[ \text{Sales Tax} = 19000 \times 0.075 = 1425 \]

### Step 2: Calculate the new sales tax at 8%
Now, we calculate the sales tax with the new rate of 8%:

\[ \text{Sales Tax} = 19000 \times \left(\frac{8}{100}\right) \]

Calculating this gives:

\[ \text{Sales Tax} = 19000 \times 0.08 = 1520 \]

### Step 3: Find the difference in sales tax
To find out how much more will have to be paid due to the increase in sales tax, we subtract the original sales tax from the new sales tax:

\[ \text{Difference} = \text{New Sales Tax} - \text{Original Sales Tax} \]

Substituting the values:

\[ \text{Difference} = 1520 - 1425 = 95 \]

### Final Answer
The additional amount that will have to be paid due to the increase in sales tax is **₹95**.

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