If a lemon and an apple together cost Rs. 12.00, a tomato and a lemon cost Rs. 4.00 and an apple cost Rs. 8.00 more than a tomato or a lemon then which of the following can be the price of a lemon?
Answers
Answer:
Cost of lemon can be Rs. 3 or Rs. 1
Step-by-step explanation:
Given:
Cost of lemon and apple = Rs. 12
Cost of lemon and tomato = Rs. 4
Cost of an apple is 8 more than lemon or tomato.
To find: Cost of lemon.
let l represent cost of lemon , a represent cost of apple and t represent cost of tomato.
According tot he question,
l + a = 12 ......................(1)
t + l = 4 ...........................(2)
a = 8 + t or a = 8 + l
Clearly cost of tomato and lemon is not same.
from (2),
only possible value of t and l are ( 3 , 1 ) or ( 1 , 3 )
when t = 1 and l = 3
a = 8 + t = 8 + 1 = 9
a + l = 12
but if a = 8 + l = 8 + 3 = 11
so, from (2)
a + l ≠ 12
Similarly,
when t = 3 and l = 1
a = 8 + t = 8 + 3 = 11
a + l = 12
but if a = 8 + l = 8 + 1 = 9
so, from (2)
a + l ≠ 12
So, Apple is 8 more than tomato not the apple.
⇒ Cost of lemon can be 3 or 1.
Therefore, Cost of lemon can be Rs. 3 or Rs. 1