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A piece of land came to a person through three middlemen each gaining 20%. If the person purchased the land for Rs 345600, the original cost of the land is:
- A100000
- B150000
- C175800
- D200000
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CCommunity
Let the price of land = k.
Then price of land after first middleman = k + 20% of k
= k + 0.2k = 1.2 k
Price of land after second middle man = 1.2k + 20% of 1.2k
= 1.2k + 0.24k
= 1.44 k
Price of land after third middle man = 1.44k + 20% of 1.44 k
= 1.44k + 0.288k
= 1.728k
Hence, we have 1.728k = Rs 345600
⇒ k = 345600/1.728
⇒ k = Rs 200000
Then price of land after first middleman = k + 20% of k
= k + 0.2k = 1.2 k
Price of land after second middle man = 1.2k + 20% of 1.2k
= 1.2k + 0.24k
= 1.44 k
Price of land after third middle man = 1.44k + 20% of 1.44 k
= 1.44k + 0.288k
= 1.728k
Hence, we have 1.728k = Rs 345600
⇒ k = 345600/1.728
⇒ k = Rs 200000