To determine how much the person spent on buying the car, we will use the formula for calculating loss percentage.
The formula for loss percentage is:
\(\text{Loss Percentage} = \left( \frac{\text{Cost Price (CP)} - \text{Selling Price (SP)}}{\text{Cost Price (CP)}} \right) \times 100\)
We know from the question:
- Selling Price (SP) = ₹ 5,70,000
- Loss Percentage = 5%
Rearranging the formula to find the Cost Price (CP), we get:
\(\text{CP} = \frac{\text{SP}}{1 - \frac{\text{Loss Percentage}}{100}}\)
Substitute the given values into the formula:
\(\text{CP} = \frac{5,70,000}{1 - \frac{5}{100}}\)
This simplifies to:
\(\text{CP} = \frac{5,70,000}{0.95}\)
Now, calculate the Cost Price:
\(\text{CP} = 6,00,000\)
Therefore, the person spent ₹ 6,00,000 to buy the car.
The correct answer is ₹ 6,00,000.
Important Questions from Percentage
A number p increased by p% of 99 equals 99 increased by 99% of p. What is (p + 51)% of 928 + 72?
Amina saves 16% of her income. Now her income is increased by 20% but she still saves the same amount as before. What is the percentage increase in her expenditure?
What is 12% of 4% of 7% of 2 × 10 6 ?
Vignesh spends 42% of his monthly salary on food, 16% on house rent, 11% on entertainment and 7% on conveyance. But due to some family function, he has to borrow Rs. 12,000 from a money leader to meet the expenses of Rs. 18,000 What is his monthly salary?
If X is 12.25% more than Y. then Y is approximately_____ less than X.
