A merchant has 5000 kg of Basmati rice. He sells some part of this Basmati rice at 20% profit and the rest at 35% profit. He gains 29% in the entire transaction. What is the quantity sold at 20% profit and 35% profit, respectively?
Show answer & explanation
Correct answer: B
Explanation
The correct answer is Option 2 i.e. 2000 kg, 3000 kg.
Let the quantity sold at 20% profit be x kg
Then, the quantity sold at 35% profit = (5000 - x) kg
Total profit = = 29
⇒ = 29
⇒ = 29
⇒ -15x + 175000 = 145000
⇒ -15x = -30000
⇒ x = 2000
So, quantities are:
20% profit: 2000 kg
35% profit: 3000 kg