   # What is the difference between the quantities of sugar sold at 4% profit and that sold at 3% loss?

0 votes
56 views

A merchant has 1925 kg of sugar, part of which he sells at 3% loss and the rest at 4% profit.
He gains 2% on the whole.
What is the difference between the quantities of sugar sold at 4% profit and that sold at 3% loss? posted Aug 21, 2018
Share this puzzle

## 1 Answer

0 votes

A - amount of sugar sold at 3% loss
A×97 + (1925 - A)×104 = 1925×102
97A + 1925×104 - 104A = 1925×102
-7A = 1925×(102 - 104)
7A = 1925×2
A = 1925×2/7 = 550
B = 1925 - 550 = 1375 = 1925 - A
B - A = 1375 - 550 = 825kg. answer Aug 21, 2018

Similar Puzzles
0 votes

A merchant has 640 kg of sugar, part of which he sells at 2% loss and the rest at 6% profit.
He gains 3% on the whole.
What is the difference between the quantities of sugar sold at 2% loss and that sold at 6% profit?

0 votes

The shopkeeper has 2020 kgs of rice, part of which he sells at 1% loss and the rest at 7% profit.
He gains 2% on the whole.
What is the difference between the quantities of rice sold at 7% profit and that sold at 1% loss?

0 votes

A merchant has 144 kg of sugar, part of which he sells at 3% loss and the rest at 9% profit. He gains 5% on the whole. What is the quantity of sugar sold at 3% loss?