# What will be the Original Price of the Car? If

Rohit sold his car at 10% below the cost price to Amit, Amit got the car repaired and spent Rs. 5000. He then sold the car to Rajesh at 20% above the total cost. Which is equal to Rs.100000. Find the original price of the car (nearest to hundred):

- Rs.93000
- Rs.97000
- Rs.87000
- Rs.83000

**Answer: (3) Rs.87000**

**Explanation:**–

Let be the Cost price of a car = X

According to the question,

Rohit sold his car at 10% below the cost price to Amit = X x 90/100 = 9X/10

Amit spent on repaired = Rs.5000

Then, he sold the car to Rajesh at 20% above the total cost.

Then, The S.P of car = (9X/10 + 5000) x 120/100 = 1, 00,000

(9X + 50000) x 6/5 x 10 = 1, 00,000

54X + 3, 00,000 = 50, 00,000

54X = 50, 00, 00 – 3, 00,000

X = 47, 00,000/54

X = 87037

The original price of the car = Rs.87, 000 (nearest to hundred)

Hence, the answer is (3) Rs.87, 000.