Question

A rice trader bought 12 quintals of rice
A
for 1,870, 15% of rice gets destroyed
at the time of transportation. To earn
profit of 20%, he has to sell it at the
rate of-
(A) 110.3/per quintal
(B) 187/per quintal
(C) 120/per quintal
(D) 220/per quintal​

Answer 1

Step-by-step explanation:

Quantity of rice = 12 quintal = 1200 kg

Cost Price (CP) = ₹ 1870

$Quantity \: of \: rice \: destroyed\\ = 15 \% \:of \: 1200 \: kg \\ = \frac{15}{100} \times 1200 \: kg \\ = 180 \: kg \\ Remaining \: quantity \: of \: rice \\ = 1200 - 180 \\ = 1020 \: kg \\Now \\ Profit \: percent = \frac{profit}{cp} \times 100 \\ \therefore \: 20 = \frac{profit}{1870} \times 100 \\ \therefore \: profit = \frac{20 \times 1870}{100} \\ \therefore \: profit =2 \times 187 \\ \therefore \: profit =Rs. \: 374 \\ Next \\ Selling \: Price = CP + Profit \\ \therefore \: Selling \: Price = 1870 + 374 \\ \therefore \: Selling \: Price = Rs. \: 2244 \\ \: \: \: \: \: Selling \: price \: per \: quintal \\ \: \: \: \: \: = \frac{2244}{12} \\ \: \: \: \: \: = Rs. \: 187$

Thus, the trader should sell it at the rate of Rs. 187/quintal in order to earn 20% profit.

Hence option (B) 187/quintal is correct answer.