Question

A shopkeeper marks his goods at 20% above the cost price. He sells three - fourths of his goods at the marked price. He sells the remaining goods at 50% of the marked price. Determine his profit percent on the whole transaction.

• A. 10%
• B. 8%
• C. 5%
• D. 7%

Answer 1

The correct option is C 5%

Let the C.P. = Rs.100

Then M.P. = Rs.120

S.P. of $\frac{3}{4}th$ of goods $=\frac{3}{4}\times Rs.120=Rs.90$
S.P. of remaining $\frac{1}{4}th$ of goods $=\frac{50}{100}\times \frac{1}{4}\times Rs.120=Rs.15$
$\therefore$ Total S.P. $=Rs.90+Rs.15=Rs.105$

$\therefore Gain=Rs.105-Rs.100=Rs.5$

i.e. Gain % = Rs.5%