Kishan sold a bike to Prakhar at 20% loss then Prakhar immediately sold the same bike to Varun at 8% profit and Varun sold it to Aman at 13% loss. If Varun got Rs. 36080, then at what price (approx) Kishan would have purchased the bike?

LohaHridoy
  1. Rs. 48000
  2. Rs. 47000
  3. Rs. 52000
  4. Rs. 49500

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AhmedNazir

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Option 1 : Rs. 48000

Short Trick:

C.P. × 0.8 × 1.08 × 0.87 = 36080

⇒ C.P. ≈ Rs. 48000

Detailed Solution:

Let Kishan would have purchased the bike at Rs. A

Kishan sold the bike to Prakhar at 20% loss

⇒ Cost of bike for Prakhar = 0.80 A

Prakhar sold the bike to Varun at 8% Profit

⇒ Cost of bike for Varun = 0.80 × 1.08 × A

Varun sold the bike to Aman at 13% Loss

⇒ Cost of bike for Aman = 0.80 × 1.08 × 0.87 × A

Since Varun got Rs. 36080

⇒ 0.80 × 1.08 × 0.87 × A = 36080

⇒ A = 47999.14 ≈ 48000

∴ Kishan purchased the bike at Rs 48000.
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