The profit earned after selling an article for Rs. 1680 is the same as the loss incurred after selling the article for Rs. 1512. What is the cost price of the article?a)Rs.1602b)Rs.1912c)Rs.1200d)Rs.1596e)None of theseCorrect answer is option 'D'. Can you explain this answer?

Question

Answer

Assume C.P = rs.C
since, profit= loss;
so,1680-C= C-1512;
2C= 3192;
C= 1596; op(d)

Answer

CP = x
1680 – x = x – 1512
2x = 3192
x = 1596

Answer

Given, Profit = Loss

Let the cost price of the article be x.

Selling price for a profit of x is given by,

SP = x + Profit

SP = x + (x/100)*P

where P is the percentage of profit.

Selling price for a loss of x is given by,

SP = x - Loss

SP = x - (x/100)*L

where L is the percentage of loss.

According to the question,

x + (x/100)*P = x - (x/100)*L

x/100 * (P + L) = 1680 - 1512

x/100 * (P + L) = 168

(P + L) = 16800/x

Now, we know that P = L (given)

Therefore, P + L = 2P

2P = 16800/x

P = 8400/x

Substituting the value of P in the equation P = (Profit/Cost Price)*100, we get

8400/x = (Profit/x)*100

Profit = 8400/100 = 84

Hence, the cost price of the article is given by,

x + 84 = 1596

Therefore, the correct option is D.

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