In a certain shop, 9 oranges cost as much as 5 apples, 5 apples cost as much as 3 mangoes and 4 mangoes cost as much as 9 lemons. If 3 lemons cost Rs.4.80, the price of an orange is :a.Re.1.30b.Re.1.20c.Re.1.40d.Re.1.50
Question
In a certain shop, 9 oranges cost as much as 5 apples, 5 apples cost as much as 3 mangoes and 4 mangoes cost as much as 9 lemons. If 3 lemons cost Rs.4.80, the price of an orange is :a.Re.1.30b.Re.1.20c.Re.1.40d.Re.1.50
Solution
Let's solve this step by step:
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According to the problem, 3 lemons cost Rs.4.80. So, the cost of 1 lemon is Rs.4.80/3 = Rs.1.60.
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The problem also states that 4 mangoes cost as much as 9 lemons. So, the cost of 4 mangoes is 9*Rs.1.60 = Rs.14.40. Therefore, the cost of 1 mango is Rs.14.40/4 = Rs.3.60.
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The problem also states that 5 apples cost as much as 3 mangoes. So, the cost of 5 apples is 3*Rs.3.60 = Rs.10.80. Therefore, the cost of 1 apple is Rs.10.80/5 = Rs.2.16.
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The problem also states that 9 oranges cost as much as 5 apples. So, the cost of 9 oranges is 5*Rs.2.16 = Rs.10.80. Therefore, the cost of 1 orange is Rs.10.80/9 = Rs.1.20.
So, the price of an orange is Rs.1.20. Therefore, the answer is (b) Re.1.20.
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