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sherxon
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Two items have a total cost of $225. Merchant mad 40% profit Updated on: 19 Sep 2021, 22:29
Originally posted by sherxon on 19 Sep 2021, 21:49.
Last edited by chetan2u on 19 Sep 2021, 22:29, edited 1 time in total.
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E
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95% (hard)

Question Stats:

41% (02:55) correct 59% (02:48) wrong based on 100 sessions

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Two items have a total cost of $225. Merchant made 40% profit from the sale of these two items. If the first item is sold on 25% profit and the second one on 50% profit, what is the selling price of the more expensive item?

A. 112.5
B. 135
C. 162.5
D. 189
E. 202.5
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E
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Two items have a total cost of $225. Merchant mad 40% profit 19 Sep 2021, 22:28
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sherxon
Two items have a total cost of $225. Merchant mad 40% profit from the sale of these two items. If the first item is sold on 25% profit and the second one on 50% profit, what is the selling price of the more expensive item?

A. 112.5
B. 135
C. 162.5
D. 189
E. 202.5
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Let the cost of more expensive be x, so the cost of other will be 225-x.

Since 40% is closer to 50%, we can say that more expensive was sold at 50%.

\(1.5(x)+1.25(225-x)=1.4(225)...............0.25x=0.15*225.............x=\frac{15*225}{25}=135\)

But we are asked for the selling price. => 1.5*135=202.5$


E
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Two items have a total cost of $225. Merchant mad 40% profit 19 Sep 2021, 22:52
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Profit 225*40%=90
X/4+(225-x)/2=90
So x=90
Expensive products cost is (225-90)=135
So its selling price is (135+67.5)=202.5

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Two items have a total cost of $225. Merchant mad 40% profit 20 Sep 2021, 00:16
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sherxon
Two items have a total cost of $225. Merchant made 40% profit from the sale of these two items. If the first item is sold on 25% profit and the second one on 50% profit, what is the selling price of the more expensive item?

A. 112.5
B. 135
C. 162.5
D. 189
E. 202.5
Show more

Solution:

Let the CP of 1st item be \(x\). So, the CP of 2nd item \(= 225-x\).

We are told that the merchant made 40% profit from the sale of these two items. This means that profit earned from selling both the items \(=40\)% of \(225\).

\(⇒ \frac{40}{100} \times 225\)

\(⇒ 0.4\times 225\)

\(⇒ $90\).

Or SP of both the items \(= 225+90=$315\).

We are told that the merchant sells the first one at a profit of 25%. This means that profit earned from selling the 1st item \(=25\)% of \(x\).

\(⇒ \frac{25}{100} \times x\)

\(⇒ \frac{x}{4}\).

Or SP of 1st item \(= x+\frac{x}{4}=\frac{5x}{4}\).

Similarly, SP of 2nd item \(= 225-x + 50\)% of \((225-x) = 225-x + \frac{225-x}{2}=\frac{3(225-x)}{2}\).

So according to the problem:\( \frac{5x}{4}+\frac{3(225-x)}{2}=315\)

\(⇒ x=90\)

So the SP of 1st item \(= \frac{5x}{4}=\frac{5\times 90}{4}=112.5\)

And SP of 2nd item \(= \frac{3(225-x)}{2}=202.5\)

Hence the right answer is Option E.
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Two items have a total cost of $225. Merchant mad 40% profit 04 Feb 2023, 11:23
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Given: Two items have a total cost of $225. Merchant made 40% profit from the sale of these two items.
Asked: If the first item is sold on 25% profit and the second one on 50% profit, what is the selling price of the more expensive item?

Total Cost = $225
Profit = 40%
Total Selling Price = $225*1.4 = $315

Let the cost of one item be x.
Cost of another item = $225-x

Total Selling price = 1.25x + 1.5(225-x) = 225*1.4
22.5 = .25x
x = 90
225-x = 135

Cost of more expensive item = $135
Selling price of more expensive item = 1.5*$135 = $202.5

IMO E
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