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# Two articles were bought for the same price. One was sold at 40%

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Two articles were bought for the same price. One was sold at 40%  [#permalink]

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30 Jan 2018, 11:45
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45% (medium)

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56% (01:05) correct 44% (00:49) wrong based on 59 sessions

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Two articles were bought for the same price. One was sold at 40% profit and the other was sold at 30% loss. Find the overall percentage of profit/loss made.
A) 5% profit
B) 5% loss
C) 10% profit
D) 10% loss
E) None of these

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Re: Two articles were bought for the same price. One was sold at 40%  [#permalink]

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30 Jan 2018, 12:00
Choose numbers

100

40% profit = 140
30% loss = 70

70+140-200/200= 10/200

Or 5/100 5 percent profit .

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Re: Two articles were bought for the same price. One was sold at 40%  [#permalink]

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30 Jan 2018, 12:41
1
Cost price be 100x

SP1 = 140x
SP2 = 70x

Total Cost price of two items : 200x
Total Selling price of two items : 210x

Profit/loss = (210x-200x)/200x = 5% profit
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Re: Two articles were bought for the same price. One was sold at 40%  [#permalink]

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31 Jan 2018, 03:03
souvonik2k wrote:
Two articles were bought for the same price. One was sold at 40% profit and the other was sold at 30% loss. Find the overall percentage of profit/loss made.
A) 5% profit
B) 5% loss
C) 10% profit
D) 10% loss
E) None of these

As $$CP(x)$$ = $$CP(y)$$ = $$a$$.....
$$SP(x) = 1.4a$$, $$SP(y) = 0.7a$$
Total $$CP (x & y) = 2a$$, Total $$SP (x&y) = 2.1a$$
$$Difference = 0.1a$$
$$% Profit$$ = $$\frac{0.1a}{2a}$$
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Re: Two articles were bought for the same price. One was sold at 40%  [#permalink]

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31 Jan 2018, 04:59
souvonik2k wrote:
Two articles were bought for the same price. One was sold at 40% profit and the other was sold at 30% loss. Find the overall percentage of profit/loss made.
A) 5% profit
B) 5% loss
C) 10% profit
D) 10% loss
E) None of these

Solution

• Let us assume that the cost price of each article as X.
• Since the first article was sold at a profit of 40%, we can write –
o SP1 = (1+40%) of X
o SP1 = 1.4 X
• Since the second article was sold at a loss of 30%, we can write –
o SP2 = (1 – 30%) of X
o SP2 = 0.7 X
• Thus, total Selling Price = 1.4X + 0.7X = 2.1 X and
• Total Cost Price = X + X = 2X
• Total Profit Percentage = (SP/CP -1) * 100 = 2.1X/2X – 1) * 100 = 5%

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Re: Two articles were bought for the same price. One was sold at 40%  [#permalink]

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31 Jan 2018, 11:13
souvonik2k wrote:
Two articles were bought for the same price. One was sold at 40% profit and the other was sold at 30% loss. Find the overall percentage of profit/loss made.
A) 5% profit
B) 5% loss
C) 10% profit
D) 10% loss
E) None of these

Let CP be 100 each, so total CP is 200
SP of one item is 140 & SP of the other item is 70 , Total SP is 210

So, Total Profit is $$\frac{10}{200}*100$$ = 5% Profit, Answer will be (A)

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Re: Two articles were bought for the same price. One was sold at 40%  [#permalink]

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02 Feb 2018, 12:05
souvonik2k wrote:
Two articles were bought for the same price. One was sold at 40% profit and the other was sold at 30% loss. Find the overall percentage of profit/loss made.
A) 5% profit
B) 5% loss
C) 10% profit
D) 10% loss
E) None of these

We can let the cost of each article be c. Thus total cost of the two articles would be 2c. Since one article make a 40% profit or 0.4c profit and the other article made a 30% loss or 0.3c loss. The total profit made is 0.4c + (-0.3c) = 0.1c. Thus the total profit as a percentage of total cost is:

0.1c/2c = 0.1/2 = 1/20 = 0.05 = 5%

Alternate Solution:

Assume that each item costs $100, for a total cost of$200. The first is sold for $140, and the second is sold for$70. Thus, the total revenue is $210, yielding a profit of 210 - 200 = 10. We see that the$10 profit, as a percentage of \$200, is 10/200 = 1/20 = .05, or 5%.

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Re: Two articles were bought for the same price. One was sold at 40% &nbs [#permalink] 02 Feb 2018, 12:05
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