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):

  1. Rs.93000
  2. Rs.97000
  3. Rs.87000
  4. Rs.83000
Monis Rasool Professor Asked on 27th June 2015 in Maths.
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1 Answer(s)

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.

Anurag Mishra Professor Answered on 28th June 2015.
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