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Bunuel
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Bunuel

Tough and Tricky questions: Word Problems.



By what percent has the price of an overcoat been reduced?

(1) The original price was $380.
(2) The original price was $50 more than the reduced price.

Kudos for a correct solution.

% decrease = reduced price/original price
or
(New price - original price)/ original price
Without anyone of them we cant find the solution therefore, both statements required. Second statement gives the amount of reduction but for % we will need original price
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By what percent has the price of an overcoat been reduced? To answer this, we need both the original and final prices or the percentage drop.

(1) The original price was $380. This is insufficient as we don't know by what amount the price dropped; we also don't know the final price.
(2) The original price was $50 more than the reduced price. This is insufficient as we don't know the absolute values, originally and finally.

Choice is C--if we combine the statements, we know the overcoat was $380 and the price reduction was $50. We can calculate a %.
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Statement 1
The original price was $380. We are given the original price, but we don't have any information about the reduced price.
Not sufficient

Statement 2
The original price was $50 more than the reduced price. But we still don't know the original price.
Not sufficient

Statement 1 and Statement 2 Together
Together Sufficient to tell the reduction percentage.
Sufficient

Answer is Option C
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1 not sufficient bcz no info on reduced price
2 not sufficient bcz no info on actual/original price

Together they provide both reduced price and original price hence, sufficient C
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