Question

a cunning fruit vendor sells a fruit basket ar rs. 160 each and earns 33.33% profit. each of the fruit baskets consists of 5 oranges. the vendor adds oranges of 2 different qualities. the good quality oranges cost rs. 30 and the cheaper ones cost rs. 20 each what is the ratio of no of oranges of each quality in the basket?

Answer 1

Step-by-step explanation:

sp = 160

cp = 160 × 100/(100+33.3)

= 16000 /(100+100/3)

= 16000 / (400/3)

= 16000×3/400

= 120

30x+20y = 120

or, 3x+2y = 12 ............(1)

x+y = 5 ..........(2)

(1) - (2)×2, we get

3x + 2y. = 12

2x + 2y = 10

(-) ( - ). (-)

............................

x = 2

from equation (2)

2 + y = 5

or , y = 3

the ratio of two type of oranges is 2:3