Question

Sixty articles are bought at Rs. $900$ each. if one-third of these articles be sold at $6$% loss; at what price must each of the remaining articles be sold in order to make a profit of $10$% on the whole ?

• A. $932$
• B. $1062$
• C. $1132$
• D. $1232$

Answer 1

Answer: (B)

$1062$

Cost price per article = 900 Rs.

Therefore, Cost price (CP) for 60 articles $=60\times 900=54000Rs$

Profit on whole transaction = 10%.

$\therefore TotalSellingprice=CP+Profit=54000+10\%of54000=59400Rs$

$\frac{1}{3}$rd articles $=\frac{1}{3}\times 60=20$ articles sold at 6% loss.

$\therefore$ Selling price of $\frac{1}{3}$rd articles = Cost Price of $\frac{1}{3}$rd articles - loss

$=20\times 900-6\%of(20\times 900)$

$=18000-1080=16920Rs$

$\therefore Sellingpriceofremaining40articles=59400-16920=42480Rs$

$\therefore Sellingpricerate=\frac{42480}{40}=1062Rs$