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Mathematics

The ratio of the pocket money saved by Lokesh and his sister is 5 : 6. If the sister saves ₹ 30 more, how much more the brother should save in order to keep the ratio of their savings unchanged.

Ratio Proportion

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Answer

Let the savings of Lokesh and his sister are 5x and 6x.

Let Lokesh save ₹ y more then according to question,

5x+y6x+30=566(5x+y)=5(6x+30)30x+6y=30x+1506y=150y=25.\Rightarrow \dfrac{5x + y}{6x + 30} = \dfrac{5}{6} \\[0.5em] \Rightarrow 6(5x + y) = 5(6x + 30) \\[0.5em] \Rightarrow 30x + 6y = 30x + 150 \\[0.5em] \Rightarrow 6y = 150 \\[0.5em] \Rightarrow y = 25.

Hence, Lokesh should save ₹ 25 more.

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