A man bought a car for Rs. 60000 and spent 10% of the cost of the car for purchase of new tyres. At what price should he sell the car to make a gain of 15%?

Answer

To solve the problem step by step, let's break it down:

### Step 1: Calculate the cost of the car and the cost of new tyres.
- The man bought the car for Rs. 60,000.
- He spent 10% of the cost of the car for new tyres.

\[ \text{Cost of new tyres} = 10\% \text{ of } 60000 = \frac{10}{100} \times 60000 = 6000 \]

### Step 2: Calculate the total cost price of the car including the tyres.
- The total cost price (CP) of the car will be the cost of the car plus the cost of the new tyres.

\[ \text{Total CP} = \text{Cost of car} + \text{Cost of tyres} = 60000 + 6000 = 66000 \]

### Step 3: Calculate the desired profit.
- The man wants to make a gain of 15% on the total cost price.

\[ \text{Profit} = 15\% \text{ of } 66000 = \frac{15}{100} \times 66000 = 9900 \]

### Step 4: Calculate the selling price.
- The selling price (SP) is the total cost price plus the profit.

\[ \text{SP} = \text{Total CP} + \text{Profit} = 66000 + 9900 = 75900 \]

### Final Answer:
- The man should sell the car for Rs. 75,900 to make a gain of 15%.

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