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Question

An auctioneer charges a commission of 10% for selling a house. If the house is sold at ₹ 22,00,000 (inclusive of auctioneer's charges), find the commission charges of the auctioneer.


A

₹ 2,20,000

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B

₹ 2,00,000

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C

₹ 2,40,000

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D

₹ 1,20,000

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Solution

The correct option is B

₹ 2,00,000


Sale amount of the house = ₹ 22,00,000

This price includes 10% commission charges of the auctioneer.

Let the Price without the 10% charge be ₹ x

As per problem,

x + 10100×x = ₹ 22,00,000

110x100 = ₹ 22,00,000

x = 2200000×100110 = ₹ 20,00,000

Amount paid to the Auctioneer = ₹ 22,00,000 - ₹ 20,00,000 = ₹ 2,00,000


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