: A' sold a house to B at gain of 10% and B sold it to C at gain of 20%. If C paid Rs.264000 for it, at what price must A have purchased it
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Given,
A sold to B of 10% gain,
B sold it to C of 20% gain,
C pain=264000
To Find,
With the price A have purchased it.
Solution,
Let, the price with A have purchased it is Rs.x
B at gain 10%
Then, Sold price of A=110/100×Rs.x
=Rs.110x/100
Purchased price of B=Rs.110x/100
Then C gain at 20% gain
Then, Sold price of B=120/100×110x/100
=Rs.132x/100
That means purchased price of C =Rs.132x/100
But it is given that C have purchased it in Rs.264000
Then,132x/100=264000
⇒x=Rs.2,00,000
Hence, A must have purchased it for Rs.2,00,000.
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