The profit percent gained if an object is sold at Rs 464 is equals to the loss percent when the object is sold at Rs 436. Find the cost price of this object?

QuestionThe profit percent gained if an object is sold at Rs 464 is equals to the loss percent when the object is sold at Rs 436. Find the cost price of this object?
Typemultiple_choice
Option250incorrect
Option400incorrect
Option450correct
Option500incorrect
SolutionApply formula: Profit = selling price – cost price
Loss = cost price – selling price ATQ, Selling price in case of profit is 464
Selling price in case of loss is 436 And the loss % = profit % So, cost price – selling price = selling price – cost price
Let cost price = x x- 436 = 464 – x
2x= 464+436
2x = 900
x = 450
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