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27 Jul 2017, 03:41
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D
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Jonathan buys c chairs and t tables for his newly set up restaurant, where c and t are positive integers. The chairs regularly sell at $50 apiece and the tables regularly sell at $80 apiece. Jonathan gets a discount of 20 percent on the price of each chair and 15 percent on the price of each table that he buys. What percentage of the total amount spent by him in buying the chairs and the tables at discounted prices was spent in buying chairs?
(1) He saved a total of $100 by purchasing the chairs and the tables at their discounted prices instead of their regular prices
(2) Due to the discounts, he paid only five-sixths of the amount he would have paid in purchasing the chairs and the tables at their regular prices
(1) He saved a total of $100 by purchasing the chairs and the tables at their discounted prices instead of their regular prices
(2) Due to the discounts, he paid only five-sixths of the amount he would have paid in purchasing the chairs and the tables at their regular prices
Archived Topic
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This topic has been closed and archived due to inactivity or violation of community quality standards. No more replies are possible here.
Where to now? Join ongoing discussions on thousands of quality questions in our Data Sufficiency (DS) Forum
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27 Jul 2017, 06:23
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duahsolo
Jonathan buys c chairs and t tables for his newly set up restaurant, where c and t are positive integers. The chairs regularly sell at $50 apiece and the tables regularly sell at $80 apiece. Jonathan gets a discount of 20 percent on the price of each chair and 15 percent on the price of each table that he buys. What percentage of the total amount spent by him in buying the chairs and the tables at discounted prices was spent in buying chairs?
(1) He saved a total of $100 by purchasing the chairs and the tables at their discounted prices instead of their regular prices
(2) Due to the discounts, he paid only five-sixths of the amount he would have paid in purchasing the chairs and the tables at their regular prices
(1) He saved a total of $100 by purchasing the chairs and the tables at their discounted prices instead of their regular prices
(2) Due to the discounts, he paid only five-sixths of the amount he would have paid in purchasing the chairs and the tables at their regular prices
HI..
we are given initial and discounted price of each chair.
we are looking for % of chairs, so a RATIO is also sufficient..
let's see the statements
(1) He saved a total of $100 by purchasing the chairs and the tables at their discounted prices instead of their regular prices
Discounted prices are 0.8*50 for chair and 0.85*80..
OR discounts are 10 for chair and 12 for table..
if c chair and t table are sold...
Discount = \(10c+12t=100....5c+6t=50\)...
SO t is multiple of 5.... and t can take only one value 5 as 10 will make c NEGATIVE..
so c=4 and t=5..
% can be found as \(\frac{4}{9}*100\)
sufficient
(2) Due to the discounts, he paid only five-sixths of the amount he would have paid in purchasing the chairs and the tables at their regular prices
initial amount = 50c+80t
discounted price = 40c+68t..
so \(\frac{5}{6}*(50c+80t)=40c+68t\)
here again you will get a ratio 5c=4t...or \(\frac{c}{t}=\frac{4}{5}\)..
\(\frac{c}{c+t}=\frac{4}{4+5}\)
%= \(\frac{4}{9}*100\)
sufficient
D
27 Jul 2017, 06:48
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duahsolo
Jonathan buys c chairs and t tables for his newly set up restaurant, where c and t are positive integers. The chairs regularly sell at $50 apiece and the tables regularly sell at $80 apiece. Jonathan gets a discount of 20 percent on the price of each chair and 15 percent on the price of each table that he buys. What percentage of the total amount spent by him in buying the chairs and the tables at discounted prices was spent in buying chairs?
(1) He saved a total of $100 by purchasing the chairs and the tables at their discounted prices instead of their regular prices
(2) Due to the discounts, he paid only five-sixths of the amount he would have paid in purchasing the chairs and the tables at their regular prices
(1) He saved a total of $100 by purchasing the chairs and the tables at their discounted prices instead of their regular prices
(2) Due to the discounts, he paid only five-sixths of the amount he would have paid in purchasing the chairs and the tables at their regular prices
C chairs - $50 each - $40 (After discount)
T tables - $80 each - $68 (After discount)
\(\frac{40C}{40C+68T}\)*100 = ?
So we need to find unique value for C and T.
1) 10C + 12T = 100
=> 5C + 6T = 50
C = 4, T = 5
Sufficient.
2) \(\frac{5}{6}\)*(50C + 80T) = 40C + 68T
=>\(\frac{C}{T}\) = \(\frac{4}{5}\)
=> C = 4, T = 5
Sufficient.
Answer is D
Archived Topic
Hi there,
This topic has been closed and archived due to inactivity or violation of community quality standards. No more replies are possible here.
Where to now? Join ongoing discussions on thousands of quality questions in our Data Sufficiency (DS) Forum
Still interested in this question? Check out the "Best Topics" block above for a better discussion on this exact question, as well as several more related questions.
Thank you for understanding, and happy exploring!
