A merchant has 1925 kg of sugar, part of which he sells at 3% loss and the rest at 4% profit. He gai

M4maths Previous Puzzles

21 Aug 2018 Mixture

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?

OPtion

1) 800 kgs
2) 550 kgs
3) 875 kgs
4) 1375 kgs
5) 825 kgs
6) 1120 kgs
7) 1280 kgs
8) 975 kgs
9) 1025 kgs
10)None of these

Solution

(Quantity of Cheaper)/(Quantity of Dearer) = (Price of Dearer - Mean Price)/(Mean Price - Price of Cheaper)

(Quantity of Cheaper)/(Quantity of Dearer) = (104 - 102)/(102-97) = 2/5

Total Quantity = 1925 KG

The quantity sold at 3% loss is = (2/7) * 1925 = 550 Kgs
The quantity sold at 4% profit is = (5/7) * 1925 = 1375 Kgs
Difference between Quantity = 1375 - 550 = 825 Kgs


Option 5)

Correct Option: 5 Best Solution (3)

ruby   6 years AGO

solve by using alligation concept
-3 +4
+2
2 5
Total quantity = 1925
Difference (5-2=3parts) = 1925/7 * 3 = 825

Like? Yes (3) | No   

sunil miskin   6 years AGO

by using alligation rule
their ratio come 2:5
i.e quantity of sugar sells at loss
2*1925/7
=550
quantity of sugar sells at profit
=5*1925/7
=1375
so difference bet'n them

=1375-550
=825

Like? Yes (1) | No   

Harsimran Singh Bedi   6 years AGO

Let X be quantity of sugar sold at 3% loss so other will be 1925-x
Let y be the cost price at which sugar was bought

So the eqn will be
x(y-3%of y)+(1925-x)*(y+4%of y)=1925*(yy+2%of y)

Solving it would give x= 550 kg
So the difference btw X and 1925-x = 1925-x -550= 1375-550=825
Thanks

Like? Yes (1) | No