A fruit vendor packed the bananas he sells into packets of 2, 6, and 12. He fixed the price of a dozen bananas at 5 and his sales revenue was 1,000. What is the number of 2-banana packets that he sold, if the number of 2-banana, 6-banana, and 12-banana packets sold were in the ratio 1:2: 3?
(A) 24
(B) 16
(C) 48
(D) 32
Answers
Answer:
Option (C) 48 packets of 2- bananas sold
Step-by-step explanation:
Given : Sales revenue = 1000
Price of dozen banana = 5
Solution : No of Dozen banana = Total sales revenue/Price of dozen banana
= 1000/5
= 200 dozens
= 200 X 12 nos
= 2400 nos
Qty sold ratio in packets is 2 banana : 6 banana : 12 banana = 1:2:3
Qty sold ratio in numbers is 2X1 : 6X2 : 12 X3
= 2 : 12 : 36
∴ 2- banana sold in numbers = 2- banana ratio/sum of ratio X Total bananas
= 2/50 X2400
= 96 nos
= 96/2
= 48 packets