Q210
How much percentage above the cost price should a shopkeeper mark on his goods so that after allowing a discount of 10% he should gain 26% ?
A.
140%
B.
25%
C.
16%
D.
40%
AnswerAnswer: Option D
Solution
Answer: Option D
Solution:
\begin{aligned}
& {\text{CP}} = {\text{100 }} - {\text{ D% }} \\
& \,\,\,\,\,\,\,\,\,\,\, = {\text{100 }} - {\text{ 10}} \\
& \,\,\,\,\,\,\,\,\,\,\, = {\text{90}} \\
& {\text{MP}} = {\text{100 + P% }} \\
& \,\,\,\,\,\,\,\,\,\,\,\,\, = {\text{100 + 26}} \\
& \,\,\,\,\,\,\,\,\,\,\,{\text{ = 126}} \\
& {\text{Difference = 126 }} - {\text{ 90}} \\
& \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,{\text{ = 36}} \\
& {\text{Required }}\% = \frac{{36}}{{90}} \times 100 = 40\% \\\end{aligned}