Martha bought an armchair and a coffee table at an action and sold both items at her store. Her gross profit from the purchase and sale of the armchair was what percentage greater than her gross profit from the purchase and sale of the coffee table?
(1) Martha paid 10% more for armchair than for the coffee table.
(2) Martha sold the armchair for 20% more than she sold the coffee table.
You can also try two values to see that both statements together are not sufficient.
It is obvious that neither statement alone is sufficient. The only question is whether the two of them together are sufficient.
Say she paid $100 for table and $110 for chair (10% more). Say she sold table for $200 and chair for $240 (20% more).
Her gross profit from table is $100 while from chair is $130 - i.e. 30% more
Now just vary one set of numbers a bit:
Say she paid $100 for table and $110 for chair (10% more). Say she sold table for $300 and chair for $360 (20% more).
Her gross profit from table is $200 while from chair is $250 - i.e. 25% more
So we see that the percentage by which her gross profit on chair is more than that on table varies with 2 different set of values. So both statements together are not sufficient.
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