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A Plot of Land, 600 Sq M in Area, is Divided Between Two Persons Such that the First Person Gets Three-fifth of What the Second Gets. Find the Share of Each. - Mathematics

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Question

A plot of land, 600 sq m in area, is divided between two persons such that the first person gets three-fifth of what the second gets. Find the share of each.

Sum

Solution

Area of plot of land = 600 sq. meter

Let second's share = x

Then first share = `3/5 x`

∴ Ratio between them `3/5 x : x`

`= 3/5 : 1 = 3 : 5`

Sum of ratios = 3 + 5 = 8

∴ Share of first person = `600/8 xx 3` = 225 sq.m

and second share = `600/8 xx 5 = 375` sq.m.

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Chapter 6: Ratio and Proportion (Including Sharing in a Ratio) - Exercise 6 (A)

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Selina Concise Mathematics [English] Class 7 ICSE
Chapter 6 Ratio and Proportion (Including Sharing in a Ratio)
Exercise 6 (A) | Q 16

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