A businessman sold a flat making a profit of 16%. If he had sold the flat for 5,00,000 less, he would have suffered a loss of 16%. Find the cost price of the flat.
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Answer:
Cost Price of flat = 1,562,500 Rupees
Step-by-step explanation:
Let the cost price (CP) of flat be x
Since the businessman made a profit of 16%
Selling price (SP) of flat -
= x + 16% of x
= x + 16x/100
= 116x/100
Now, If he had sold the flat for 5,00,000 less, he would have suffered a loss of 16%.
Therefore, New SP = 116x/100 - 500000
However, loss % = 16% Hence New SP = x - 16% of x = x - 16x/100 = 84x/100
.'. 116x/100 - 500000 = 84x/100
116x/100 - 84x/100 = 500000
32x/100 = 500000
32x = 500000 * 100
x = 50000000/32
x = 1562500
Therefore, Cost Price of flat = 1,562,500 Rupees
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