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Bunuel
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A merchant has 1000 kg of sugar part of which he sells at 8% profit an 04 Jun 2020, 00:44
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C
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35% (medium)

Question Stats:

74% (01:42) correct 26% (02:24) wrong based on 144 sessions

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A merchant has 1000 kg of sugar part of which he sells at 8% profit and the rest at 18% profit. He gains 14% on the whole. The Quantity sold at 18% profit is

A. 300
B. 400
C. 600
D. 500
E. 700
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C
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A merchant has 1000 kg of sugar part of which he sells at 8% profit an 04 Jun 2020, 00:52
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IMO C

Let the quantity sold at 8% profit = x
And the quantity sold at 18% profit = y.
=> 108*x/100+118*y/100 = (x+y)*114/100
=> 108x+118y=114x+114y
=> 4y = 6x => 2y = 3x
=> x/y = 2/3
=> therefore, x:y = 2:3
=> dividing 1000 in 2:3 ratio we get y = 600 (1000*3/5)
The quantity sold at 18% profit= 600

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A merchant has 1000 kg of sugar part of which he sells at 8% profit an 04 Jun 2020, 00:53
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8x +18y =14(x+y)
4y=6x
x:y= 2:3
Quantity sold at 18% profit =
3/5×1000
=600
Option C is the answer

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A merchant has 1000 kg of sugar part of which he sells at 8% profit an 04 Jun 2020, 03:29
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IMO C

Let the quantity sold at 18% profit = x
Quantity sold at 8% profit= 1000 -x
Overall Profit = 14%

=> 1.18x + 1.08(1000-x) = 1.14 * 10000
Solving for x, x= 600
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A merchant has 1000 kg of sugar part of which he sells at 8% profit an 04 Jun 2020, 03:42
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Bunuel
A merchant has 1000 kg of sugar part of which he sells at 8% profit and the rest at 18% profit. He gains 14% on the whole. The Quantity sold at 18% profit is

A. 300
B. 400
C. 600
D. 500
E. 700
say 8% profit- small part, 18% profit big part
8.....14......18
B/S=3/2
B/B+S=3/5
B/1000=3/5
B=600
C:)
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A merchant has 1000 kg of sugar part of which he sells at 8% profit an 04 Jun 2020, 04:19
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Typical mixture problem.

Difference in percentage profit of both parts:
10%

Mid point: 13% can be achieved by 500 kg each.

Therefore, we need the closest option just above 100.

Only option is 600. (C)

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A merchant has 1000 kg of sugar part of which he sells at 8% profit an 04 Jun 2020, 04:46
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8 is -6 than verage
14 average
18 is + 4 of average
So the 1000 will be divided at a rate of 4 to 6 or 400 to 600.
Since 18 is closer to the average the bigger part =600 will be attributed to it

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A merchant has 1000 kg of sugar part of which he sells at 8% profit an 05 Jun 2020, 22:38
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A merchant has 1000 kg of sugar part of which he sells at 8% profit and the rest at 18% profit. He gains 14% on the whole. The Quantity sold at 18% profit is

A. 300
B. 400
C. 600
D. 500
E. 700

Solution:
Let, Cost price per kg sugar = Tk.1
Therefore, Cost of 1000 kg of sugar = Tk. 1000
Suppose, quantity sold at 18% profit = x kg and quantity sold at 8% profit = (1000 – x) kg

Now,
18x/100 + 8*(1000 – x)/100 = 18*1000/100
Or, 10x + 8000 = 18000
Or, 10x = 6000
Or, x = 600
Answer: 600
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A merchant has 1000 kg of sugar part of which he sells at 8% profit an 19 Jun 2020, 03:45
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Bunuel
A merchant has 1000 kg of sugar part of which he sells at 8% profit and the rest at 18% profit. He gains 14% on the whole. The Quantity sold at 18% profit is

A. 300
B. 400
C. 600
D. 500
E. 700

Solve using Weighted average:

A = Part which he sells at 8% profit
Qty. of A W1
B = Part which he sells at 18% profit
Qty. of B W2

The 2 quantities are sold at 14% profit.
So Avg = 14%

\(\frac{W1}{W2 } = \frac{(B-Avg)}{(Avg-A)}\)

\(= \frac{(18-14)}{(14-8)}\)

\(\frac{W1}{W2 }= \frac{2}{3}\)


\(W2 = \frac{3}{5} * 1000\)

W2 = 600
Option C
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A merchant has 1000 kg of sugar part of which he sells at 8% profit an 07 Oct 2021, 15:20
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Bunuel
A merchant has 1000 kg of sugar part of which he sells at 8% profit and the rest at 18% profit. He gains 14% on the whole. The Quantity sold at 18% profit is

A. 300
B. 400
C. 600
D. 500
E. 700

The answer is C.

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A merchant has 1000 kg of sugar part of which he sells at 8% profit an 05 Nov 2024, 23:20
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