Suraj0184
A retailer bought a total of 64 baskets from a wholesale market that came in two sizes, small and large. The price of a small basket was $ 50 less than that of a large basket. She paid a total of $ 5000 for the large baskets, and a total of $ 1800 for the small baskets. Then, the price of a large basket and a small basket together, in $, is
A. 100
B. 125
C. 150
D. 175
E. 200
Source : Wizako
Any time the instinct is to start setting up algebraic equations, I check to see if it makes sense to Plug In The Answers (PITA). In general, it is best to start with B and D, but those look more cumbersome to work with, so let's start with C.
C:
Small + large = 150. Large is $50 more than small. Large is $100 and small is $50. $5000 for large at $100 each is 50 baskets. $1800 for small at $50 each is 36 baskets. That's a total of 86 baskets, which is too many. We need to raise the prices. A, B, and C are out.
Let's try E:
Small + large = 200. Large is $50 more than small. Large is $125 and small is $75. $5000 for large at $125 each is 40 baskets. $1800 for small at $75 each is 24 baskets. That's a total of 64 baskets. Yay!
Answer choice E.
ThatDudeKnowsPITA