The cost price of a car is ? 400000. If its price decreases 10% every year, then what will be the cost of car after 3 yr?

Answer

To solve the problem of determining the cost of a car after 3 years given a 10% annual decrease in its price, we will follow these steps:

### Step 1: Identify the initial cost price of the car.
The initial cost price (CP) of the car is given as ₹400,000.

### Step 2: Calculate the price decrease for the first year.
The price decreases by 10% each year. To calculate the decrease for the first year:
- Decrease = 10% of CP = 10/100 × ₹400,000 = ₹40,000.
- New cost after 1 year = CP - Decrease = ₹400,000 - ₹40,000 = ₹360,000.

### Step 3: Calculate the price decrease for the second year.
Now, we take the new cost price after the first year as the base for the second year.
- Decrease = 10% of ₹360,000 = 10/100 × ₹360,000 = ₹36,000.
- New cost after 2 years = ₹360,000 - ₹36,000 = ₹324,000.

### Step 4: Calculate the price decrease for the third year.
Again, we take the new cost price after the second year as the base for the third year.
- Decrease = 10% of ₹324,000 = 10/100 × ₹324,000 = ₹32,400.
- New cost after 3 years = ₹324,000 - ₹32,400 = ₹291,600.

### Final Answer:
The cost of the car after 3 years will be ₹291,600.

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