Question

A builder sold a house at an auction for Rs 4200 and after paying the auctioneer 5% on the selling price he found that he had made profit of 5% on what the house cost him. How much did the house cost him? ​

Answer 1

Answer:

The ans is 3800

Answer 2

Let consider the CP is = X

SP = 4200     ( given)

He has paid the auctioneer 5% on the selling price:-

∴ 5% of 4200 = $\frac{5}{100}$ × 4200= 210

After paying the auctioneer 5% on the selling price he had total amount

= (4200 - 21`0)

= 3990

After paying the auctioneer 5% on the selling price he found that he had made profit of 5%

Now 5% of X + X = 3990     ( CP = X )

$\frac{5}{100}$ X +X = 3990

(5X + 100X)/100 = 3990

105X = 3990 × 100

X = 3990/105 ×100

X = 3800 =CP

Hence the cost of the house was Rs 3800.

Ans :- The cost of the house was Rs 3800.

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