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1. Anand marks up the price of an article by 50% and then allows a discount of 20% and sells it to Balaji who sells it for Rs. 20, more than what he purchased for, this selling price is 30% more then the original cost price of the article. Then Balaji's profit % is = ?

A. 7.5%

B. 6.66%

C. 8.33%

D. 9%

Solution:

Let original cost price = 100 units

\begin{aligned} Cost price of Balaji \\ = 100 \times \frac{150}{100} \times \frac{80}{100} \\ =  120 units \\ Selling price of Balaji \\ = \frac{130}{100} \times 100 \\ =  130 units \\ Profit of Balaji \\ = 130 - 120 \\ = 10 units \\ Profit percent \\ = \frac{10}{120} \times 100 \\ = 8 .33 % \end{aligned}

Note: There is no use of Rs. 20 given in the question

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