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?

Question

A merchant on selling rice earns a profit of ₹ 10 per bag of basmati rice sold and a loss of ₹ 5 per bag of 1 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.

Answer 1

i) Profit on 3,000 bags of basmati rice = 3,000 × 10 = ₹ 30,000 

Loss on 5,000 bags of non-basmati rice = 5,000 × 5 = ₹ 25,000 

Net profit or loss = 30,000 – 25,000 = ₹ 5000 profit 

Another Method : 

Net profit or loss = 3,000 × 10 + 5,000(-5)

= 30,000 – 25,000 = ₹ 5,000 

ii) As there is no loss or gain Profit on basmati rice= Loss on non-basmati rice 

But loss on non-basmati rice = 6,400 × 5 = ₹ 32,000 

∴ Number of bags of basmati rice sold = \(\frac {32000}{10}\) = 3200