Question: The original price of a suit is $200. The price increased 30%, and after this increase, the store published a 30% off coupon for a one-day sale. Given that the consumers who used the coupon on sale day were getting 30% off the increased price, how much did these consumers pay for the suit?
- $182
- $191
- $200
- $209
- $219
Correct Answer: A
Solution and Explanation
Approach Solution 1:
This problem solving question has only 1 approach to solve it.
The original price of a suit is given to be $200. Further, the price increased 30%, and after this increase, the store published a 30% off coupon for a one-day sale.
This implies that the consumers who used the coupon on sale day were getting 30% off the increased price. What we are required to find is the price that the consumers actually paid for the suit.
Accordingly, the original price of the suit is given to be $200 and with an increase of 30% in the price the current price becomes 30% of $200. This implies that the price of the suit is-
30% of $200
=> 30/100 * 200
=> 60
Hence, the increase in the price of the suit was by $60 implicating that the current price stands at $260.
However, the store further added a coupon for a one day sale of 30% off which the customers could use. Accordingly, if the consumers used the 30% off coupon to buy that suit, the discounted price at which the consumers might have bought the suit would be-
New price - (30% of the new price)
=> 260 - (30% of 260)
=> 260 - (30/100 * 260)
=> 260 - 78
=> 182
Hence, the discounted price of the suit after the 30% discount offered by the store can be stated to be $182 at which the consumers actually bought the suit. Thus, $182 is the correct answer which implies for option A.
“The original price of a suit is $200. The price increased 30%, and”- is a topic of the GMAT Quantitative reasoning section of GMAT. To solve GMAT Problem Solving questions a student must have knowledge about a good amount of qualitative skills. GMAT Quant practice papers improve the mathematical knowledge of the candidates as it represents multiple sorts of quantitative problems.
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