Question 67

An article is sold for ₹x. If it is sold at $$33\frac{1}{3}$$% of this price, there is a loss of 20%. What is the percentage profit when it is sold for ₹x ?

Solution

Let the value of Rs x be Rs 100

Then S.P = $$\frac{100}{3}\ \ \%\ of\ 100\ =\ \frac{100}{3}$$

Loss = 20%

C.P = {3$$\frac{100}{80}\times\ \frac{100}{3}=\frac{125}}$$

Now new S.P= Rs 100 and C.P = $$\frac{125}}$$

Profit = $$100-\frac{125}{3}=\frac{175}{3}$$

Profit% = $$\frac{175}{3}\times\ 100\times\ \frac{3}{125}=140$$ %.

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