Arunima sold two flats for Rs.10, 00,000 each. On one she gains
15% and on the other she loses 15%
a) Find the CP of both flats
b) Find the total profit % or loss % in the whole transaction.
Answers
Answer:
= the cost of the first flat.
you get x + .15*x = 1,000,000
factor out the x to get 1.15 * x = 1,000,000
solve for x to get x = 1,000,000 / 1.15 = 869,565 rounded to the nearest dollar.
the second flat made a loss of 15%.
let y = the cost of the second flat.
you get y - .15*y = 1,000,000
factor out the y to get:
.85 * y = 1,000,000.
solve for y to get y = 1,000,000 / .85 = 1,176,471 rounded to the nearest dollar.
her total cost was 869,565 + 1,176,471 = 2,046,036.
her total revenue was 2,000,000.
her net profit was 2,000,000 - 2,046,036 = -46036.
her profit percent was -46036 / 2,046,036 * 100 = -2.25 percent.
a negative profit is equal to a positive loss, so her net loss was 46036 and her loss percent was 2.25 percent.
she lost 2.25% of her initial investment on the deal.