Practice | Hashtable

Home > Practice > Arithmetic Aptitude > True Discount > Miscellaneous

1. A man sells a bicycle at marked price which is 30% higher than the cost price. If he gives some discount and sells it at Rs. 150 less than the marked price, he would still gain 20%. What is the percentage of discount offered ?

A. 7.69%

B. 1.83%

C. 7.54%

D. 7.23%

Solution:

\begin{matrix} 30 % = \frac{3^{↗^{gain}}}{10_{↘_{cost price}}} marked price = 13 \\ 20 % = \frac{1^{↗^{profit}}}{5_{↘_{cost price}}} selling price = 6 \end{matrix}

\begin{matrix} \begin{matrix} Cost price & Selling price & Marked price \\ 10 & 13 \\ 5 \times 2 & 6 \times 2 \end{matrix} \\ \bar{10 units \underset{discount  =  1}{\underset{⏟}{12 1 3  unit}}} \end{matrix}

\begin{aligned} ∴ Discount % \\ = \frac{1}{13} \times 100 \\ = 7.69 % \end{aligned}

You must login to add comments. Login now.