8 oranges cost as much as 5 apples, 5 apples as much as 3 mangoes, 4 mangoes as much as 8 pineapples. If 3 pineapples cost Rs. 36, then an oranges cost is :

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Q: 110 (CAPF/2009)
8 oranges cost as much as 5 apples, 5 apples as much as 3 mangoes, 4 mangoes as much as 8 pineapples. If 3 pineapples cost Rs. 36, then an oranges cost is :

question_subject: 

Maths

question_exam: 

CAPF

stats: 

0,7,4,7,3,1,0

keywords: 

{'oranges cost': [0, 0, 1, 0], 'pineapples': [0, 0, 1, 1], 'oranges': [0, 0, 2, 1], 'mangoes': [0, 0, 1, 2], 'apples': [1, 0, 1, 0]}

To solve this problem, we need to establish a chain of equivalences between the different fruits.

According to the given information:

- 8 oranges = 5 apples

- 5 apples = 3 mangoes

- 4 mangoes = 8 pineapples

We are also given that 3 pineapples cost Rs. 36.

To find the cost of oranges, we need to convert the cost of pineapples to oranges:

- Since 4 mangoes = 8 pineapples, we can say that 1 mango = 2 pineapples.

- Since 5 apples = 3 mangoes, we can say that 1 apple = 3/5 mango.

- Since 8 oranges = 5 apples, we can say that 1 orange = 5/8 apple.

Now, we can calculate the cost of oranges:

- If 3 pineapples cost Rs. 36, then the cost of 1 pineapple is Rs. 36/3 = Rs. 12.

- Using the previously established equivalences, the cost of 1 apple is (5/8) * Rs. 12 = Rs. 7.50.

- Finally, using the equivalence 1 orange =