Mrs. Sharma purchased confectionery goods costing 165 on which the rate of tax is 6% and some tooth-paste, shaving-cream, soap, etc., costing Rs 230 on which the rate of Tax is 10%. If she gives a five-hundred rupee note to the shopkeeper, what money will he return to Mrs. Sharma?

Answer

To solve the problem step by step, we need to calculate the total cost of the items purchased by Mrs. Sharma, including the tax, and then determine how much change she will receive after paying with a 500 rupee note.

### Step 1: Calculate the total cost of confectionery goods including tax.
- The cost of confectionery goods = Rs 165
- Tax rate = 6%

**Calculation:**
\[ \text{Tax on confectionery goods} = \frac{6}{100} \times 165 = 9.90 \]
\[ \text{Total cost of confectionery goods} = 165 + 9.90 = 174.90 \]

### Step 2: Calculate the total cost of toothpaste, shaving cream, soap, etc., including tax.
- The cost of toothpaste, shaving cream, soap, etc. = Rs 230
- Tax rate = 10%

**Calculation:**
\[ \text{Tax on toothpaste, shaving cream, soap, etc.} = \frac{10}{100} \times 230 = 23 \]
\[ \text{Total cost of toothpaste, shaving cream, soap, etc.} = 230 + 23 = 253 \]

### Step 3: Calculate the total amount spent by Mrs. Sharma.
**Calculation:**
\[ \text{Total amount spent} = \text{Total cost of confectionery goods} + \text{Total cost of toothpaste, shaving cream, soap, etc.} \]
\[ = 174.90 + 253 = 427.90 \]

### Step 4: Calculate the change Mrs. Sharma will receive from the shopkeeper.
- Amount given to the shopkeeper = Rs 500

**Calculation:**
\[ \text{Change} = \text{Amount given} - \text{Total amount spent} \]
\[ = 500 - 427.90 = 72.10 \]

### Final Answer:
The shopkeeper will return Rs 72.10 to Mrs. Sharma.

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