mrs. torre bought a parcel of land for Php 1800000. she subdivided the land into lots and when she had sold all but 12 lots at a profit of Php 40,000 per lot, the entire cost of the lot has been regained. how many lots were sold and at what is the cost per lot?
Answers
Answer:
1800000-12=1799,988+40000=1839,988
Given : Mrs. torre bought a parcel of land for Php 1800000.
she subdivided the land into lots and when she had sold all but 12 lots at a profit of Php 40,000 per lot,
the entire cost of the lot has been regained.
To Find : how many lots were sold and at what is the cost per lot?
Solution:
Let say x lots were sold
Total lots = x + 12
Cost price per lot = 1800000/(x + 12) PHP
Sell Price per lot = 1800000/(x + 12) + 40000 PHP
entire cost of the lot has been regained.
x ( 1800000/(x + 12) + 40000) = 1800000
=> x ( 180/(x + 12) + 4 ) = 180
=> x ( 45/(x + 12) + 1 ) = 45
=> x (45 + x + 12) = 45(x + 12)
=> 45x + x² + 12x = 45x + 540
=> x² + 12x - 540 = 0
=> x² + 30x - 18x - 540 = 0
=>(x + 30)(x - 18) = 0
Hence x= 18
18 lot were sold
Total lots = 18 + 12 = 30
Cost price per lot = 1800000 / 30 = 60000 PHP
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