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.

₹ 2,20,000

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₹ 2,00,000

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₹ 2,40,000

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₹ 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,

$x$ + $\frac{10}{100} \times x$ = ₹ 22,00,000

$\Rightarrow \frac{110 x}{100}$ = ₹ 22,00,000

$\Rightarrow x$ = $\frac{2200000 \times 100}{110}$ = ₹ 20,00,000

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

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