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# A trader purchased a Type A gas stove and a Type B gas stove for an eq

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Math Expert
Joined: 02 Sep 2009
Posts: 53064
A trader purchased a Type A gas stove and a Type B gas stove for an eq  [#permalink]

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16 Oct 2018, 01:20
1
1
00:00

Difficulty:

65% (hard)

Question Stats:

48% (02:26) correct 53% (01:20) wrong based on 48 sessions

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A trader purchased a Type A gas stove and a Type B gas stove for an equal sum and then sold them at different prices. The trader’s gross profit on the Type A gas stove was what percent greater than its gross profit on the Type B gas stove?

(1) The price at which the trader sold the Type A gas stove was 10 percent greater than the price at which the trader sold the Type B gas stove.

(2) The trader’s gross profit on the Type B gas stove was \$50.

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Joined: 15 Feb 2018
Posts: 246
A trader purchased a Type A gas stove and a Type B gas stove for an eq  [#permalink]

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22 Oct 2018, 21:05
From the original condition

Revenue-Expense=Profit

$$Revenue_A-Expense_A=Profit_A$$
$$Revenue_B-Expense_B=Profit_B$$

$$\frac{(Profit_A-Profit_B)}{Profit_B}$$·100

1) $$Revenue_A=1.1Revenue_B$$
Insufficient

2) $$Profit_B$$=50
Insufficient

Together,
$$Revenue_A-Expense_A=Profit_A$$
$$1.1Revenue_A-Expense_B=50$$

But we don't know the ratio of expenses.

E
A trader purchased a Type A gas stove and a Type B gas stove for an eq   [#permalink] 22 Oct 2018, 21:05
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