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A certain store sells chairs individually or in sets of 6. The store charges less for purchasing a set of 6 chairs than for purchasing 6 chairs individually. How much does the store charge for purchasing a set of 6 chairs?
(1) The charge for purchasing a set of 6 chairs is 10 percent less than the charge for purchasing the 6 chairs individually.
(2) The charge for purchasing a set of 6 chairs is $20 more than the charge for purchasing the 5 chairs.
The OA is C.
Charge for a set of 6 < Charge for 6 individual chairs.
Charge for purchasing a set of 6 chairs?
Statement 1: It is insufficient because we need a number (the actual charge) but statement 1 only gives us data in percentages.
Statement 2: Again insufficient because we have no data regarding the charge of 5 chairs.
Using both together, we can derive the following equation where x = cost of one chair
5x + 20 = 90% of 6x
We can solve it to get the value of x and hence, the value of the set of 6. Hence, sufficient.
Has anyone another strategic approach to solve this PS question? Regards!
(1) The charge for purchasing a set of 6 chairs is 10 percent less than the charge for purchasing the 6 chairs individually.
(2) The charge for purchasing a set of 6 chairs is $20 more than the charge for purchasing the 5 chairs.
The OA is C.
Charge for a set of 6 < Charge for 6 individual chairs.
Charge for purchasing a set of 6 chairs?
Statement 1: It is insufficient because we need a number (the actual charge) but statement 1 only gives us data in percentages.
Statement 2: Again insufficient because we have no data regarding the charge of 5 chairs.
Using both together, we can derive the following equation where x = cost of one chair
5x + 20 = 90% of 6x
We can solve it to get the value of x and hence, the value of the set of 6. Hence, sufficient.
Has anyone another strategic approach to solve this PS question? Regards!
