Question

The cost of 4kg of Apple and 6kg of orange is Rs620.If the cost of orange is the same as the cost of 5 kg Apple find the cost of per kg of Apple and orange?​

Answer 1

The apple cost RS 18.24 per kg, while

the orange cost RS 91.18 per kg.

Explanation:

Let the cost of 1kg if apple and orange be RS A and RS O respectively.

From the first line:

4A +6O= 620

2A +3O= 310 -----(1) (÷2 throughout)

From the information given in second line:

O= 5A -----(2)

subst. (2) into (1):

2A +3(5A)= 310

2A +15A= 310 (expand)

17A= 310 (simplify)

A= 310 ÷17 (÷17 on both sides)

A= 18.235 (5 s.f.)

A= 18.24 (2 d.p.)

Subst. into (2):

O= 5(18.235)

O= 91.18 (2 d.p.)