Ken had to collect some fruits from two marts and deliver some fruits to another mart. He collected from Mart M and the ratio of oranges to chikoos was 5 : 9. When he reached Mart N, he unloaded ¹¹₁₂ of the chikoos and some oranges from his vehicle. The ratio of oranges to chikoos became 2 : 3. At Mart P, 37 oranges and 24 chikoos were collected and the number of oranges to chikoos became the same.

1. How many fruits were there on his vehicle after visiting Mart P?
2. How many oranges were delivered to Mart N?

	Location	Oranges	Chikoos
Comparing oranges and chikoos at first	Mart M	5x4 = 20 u	9x4 = 36 u
Before 1	Mart M	20 u	12x3 = 36 u
Change 1	Mart N	- ?	- 11x3 = - 33 u
After 1	Mart P	2 u	1x3 = 3 u
Before 2	Mart P	2x1 = 2 u	3x1 = 3 u
Change 2	Mart P	+ 37	+ 24
After 2	Mart P	2 u + 37	3 u + 24

(a)
The number of chikoos after unloading at Mart N is repeated.  Make the number of chikoos left after unloading at Mart N the same.  LCM of 3 and 1 is 3.

The number of chikoos collected at Mart M is repeated.  Make the number of chikoos collected at Mart M the same by multiplying 9 by 4. 
 
The number of oranges and chikoos in the end is the same.

3 u + 24 = 2 u + 37
3 u - 2 u = 37 - 24

1 u = 13

Number of oranges on his vehicle after collecting from Mart P
= 2 u + 37
= 2 x 13 + 37
= 26 + 37
= 63

Number of fruits on his vehicle after collecting from Mart P
= 2 x 63 
= 126 

(b)
Number of oranges delivered to Mart N
= 20 u - 2 u
= 18 u
= 18 x 13
= 234

Answer(s): (a) 126; (b) 234