Correct Answer - Option 1 : Rs. 60000
Given:
Firoz bought a car from showroom A for Rs. 18 lakhs at a certain discount.
Had he bought it from showroom B, his profit would have been 18000 more than the actual profit.
He sold it at a profit of 5% to Vivek.
The average price of car at showrooms A and B is 18.21 lakhs.
Formula used:
Profit or Gain = Selling price – Cost Price
Loss = Cost Price – Selling Price
Profit percentage = (Profit /Cost Price) × 100
Loss percentage = (Loss / Cost price) × 100
Calculation:
Let the prices at showrooms A and B be Rs. (1800000 + x) and Rs. (1800000 + x + 18000) respectively.
Average price = Rs. [{(1800000 + x) + (1818000 + x)}/2]
⇒ [{(1800000 + x) + (1818000 + x)}/2] = 1821000
⇒ x = 12000
Price at which showroom B sells it = Rs. (1818000 + 12000)
⇒ Rs. 1830000
Vivek bought it at a price of = Rs. (1800000 × 1.05)
⇒ Rs. 1890000
Difference = Rs. (1890000 – 1830000)
⇒ Rs. 60000
∴ required difference is Rs. 60000