Q2 of 7 Page 68

Sixty crates, each of which can hold 36 mangoes, are required to pack a certain number of mangoes. How many crates, each of which can hold 48 mangoes, will be required for the same number of mangoes? What kind of proportion is there between the number of crates and the number of mangoes in each crate?

Let number of mangoes be ‘n’


1 crate of hold 36 mangoes


Therefore, 60 crates can hold 60×36 = 2160 mangoes


n = 2160


now 1 crate holds 48 mangoes


Let number of crates required be ‘c’


number of mangoes are same which is n = 2160


Therefore, c × 48 = 2160


⇒ c = = = 45


45 crates are required



From table 60×36 = 45×48 = 2160


If we consider x as a value in number of crates and y as a value in number of mangoes in each crate we can write xy = 2160


⇒ xy = k


⇒ y = k × ⇒ y ∝


Hence there is inverse proportion between number of crates and number of mangoes in each crate


In this question we can directly say that it is inverse proportion because it is obvious that when the holding capacity increases the number of containers reduces.


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