Question

A merchant on selling rice earns a profit of Rs.$10$ per bag of basmati rice sold and a loss of Rs. $5$ per bag of non-basmati rice.
(i) He sells $3,000$ bags of basmati rice and $5,000$ bags of non-basmati rice in a month. What is his profit or loss in a month
(ii) What is the number of basmati rice bags he must sell to have neither profit nor loss, if the number of bags of non-basmati rice sold is $6,400$

• A. $5000,3400$
• B. $5000,3200$
• C. $3500,5500$
• D. $5000,3550$

Answer 1

Answer: (B)

$5000,3200$

Given:

profit of $Rs.10$ per bag of basmati rice

loss of $Rs.5$ per bag of non-basmati rice

i) $3,000$ bags of basmati rice $\times 10=30,000$ profit

$5,000$ bags of non-basmati rice $\times 5=25,000$ loss

$30,000-25,000=5,000$ net profit

ii) Let $x$ be the number of bags of basmati rice

$10x=6,400\times 5$

$10x=32,000$

$x=\frac{32000}{10}$

$x=3,200$ bags of basmati rice.