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Mathematics

Five mangoes and four guavas cost as much as three mangoes and seven guavas. What is the ratio of the cost of one mango to the cost of one guava?

  1. 1 : 3

  2. 3 : 2

  3. 4 : 3

  4. 5 : 2

Ratio Proportion

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Answer

Let the cost of a mangoe be M and the cost of a guava be G.

Given,

Five mangoes and four guavas cost as much as three mangoes and seven guavas.

⇒5M+4G=3M+7G⇒5M−3M=7G−4G⇒2M=3G⇒MG=32.\Rightarrow 5M + 4G = 3M + 7G \\[1em] \Rightarrow 5M - 3M = 7G - 4G \\[1em] \Rightarrow 2M = 3G \\[1em] \Rightarrow \dfrac{M}{G} = \dfrac{3}{2}.

Hence, option 2 is the correct option.

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