Question

A retailer marks his goods at a price that he would get a profit of 40%. He sold 40% of the goods at this price, half of the remaining's at a discount of 20% and the rest at two successive discounts of 20% each. Find his loss percent or profit percent on the whole.

• A. $16.48$ profit
• B. $18$ profit
• C. $21.5$ profit
• D. $15$ profit

Answer 1

Answer: (A)

$16.48$ profit

Let the cost price be $Rs100$
Then, Marked Price to get $40$ %profit $=Rs140$
Let $x$ goods be there, then total C.P. $=100x$
When he sells $40$ % the of the goods at $Rs140$, selling price will be for this amount of goods will be $S.P.1=\frac{40}{100}\times 140\times x=Rs56x$
Now, Selling price of half of remaining $60$ % goods, that is $30$ % goods is $(100-20)=80$ % of $Rs140=\frac{80}{100}\times 140=Rs112$
Selling price will be for this amount of goods will be $S.P.2=\frac{30}{100}\times 112\times x=Rs33.6x$
And Selling price of last $30$ % goods is $(100-20)=80$ % of $(100-20)=80$ % of $Rs130=\frac{80}{100}\times \frac{80}{100}\times 140=Rs89.6$
Selling price will be for this amount of goods will be $S.P.3=\frac{30}{100}\times 89.6\times x=Rs26.88x$
So, Total S.P. $=Rs56x+Rs33.6x+Rs26.88x=Rs116.48x$
Profit % on the whole transaction $=\frac{S.P-C.P.}{C.P.}\times 100=\frac{116.48x-100x}{100x}\times 100=16.48$ %