Question

A manufacturer marks his goods at 40% above the cost price. He allows a discount of 10% for cash customers and 5% to credit customers. $\frac{3}{5}$ of the goods are sold for cash and the rest on credit. What is the percentage of profit when all the goods are sold and amount realised ?

• A. 30.0%
• B. 28.8%
• C. 27.2%
• D. 25.5%

Answer 1

Answer: (B)

28.8%

Let the C.P. of the goods be Rs.100

$\therefore$ Marked price = Rs.140
Value of goods sold for cash = $\frac{3}{5}\times Rs.140=Rs.84$
Value of goods sold on credit = $\frac{2}{5}\times Rs.140=Rs.56$
S.P. of the goods sold on cash $=90\%ofRs.84=Rs.75.60$
S.P. of the goods sold on credit $=95\%ofRs.56=Rs.53.20$
$\therefore$ Total S.P. = Rs.128.80 $\Rightarrow$ Profit = 28.80 i.e. 28.8%