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Aptitude · Q104

True Discount

Competitive Exams · Aptitude · question 104

Q104

A shopkeeper marks an article at such a price that after giving a discount of 121/2\% on the marked price, he still earns a profit of 15%. If the cost price of the article is Rs. 385, then the sum of the marked price and the selling price (in Rs.) of the article is:

A shopkeeper marks an article at such a price that after giving a discount of  on the marked price, he still earns a profit of 15%. If the cost price of the article is Rs. 385, then the sum of the marked price and the selling price (in Rs.) of the article is:
A.
948.75
Answer
B.
849.50
C.
954.75
D.
984.75

Answer: Option A

Solution

Answer: Option A
Solution:

\begin{array}{*{20}{c}} {{\text{Cost price }}\,\,{\text{ Selling price}}\,\,{\text{ Marked price}}} \\ {{{20}_{ \times 7}}\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,{{23}_{ \times 7}}\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,} \\ {\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,{7_{ \times 23}}\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,{8_{ \times 23}}} \\ {\overline {\,\,\,140\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,161\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,184\,\,\,\,\,\,\,} } \end{array}
140 units = 385
1 unit =
Sum of the marked price and the selling price = 184 + 161 = 345 units
345 units = × 345 = 948.75