Maharashtra State BoardSSC (English Medium) 6th Standard
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Last year Giripremi group planted 75 trees. Of these, 48 trees flourished. The Karmavir group planted 50 trees, of which, 35 flourished. Which group was more successful - Mathematics

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Sum

Last year Giripremi group planted 75 trees. Of these, 48 trees flourished. The Karmavir group planted 50 trees, of which, 35 flourished. Which group was more successful in conserving the trees they had planted?

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Solution

Suppose the surviving trees of the Giripremi group are A%.
Suppose the surviving trees of the Karmavir group are B%.

The Giripremi’s ratio of the surviving trees to planted trees is `A/100` and also `48/75`.
Therefore, `A/100 = 48/75`.

The Karmavir ratio of the surviving trees to planted trees is `B/100` and also `35/50`.
Therefore, `B/100 = 35/50`.

Let us write the same ratio in two forms,

`"A"/100 = 48/75`

∴ `"A"/100 xx 100 = 48/75 xx 100`

∴ A = 64.

`"B"/100 = 35/50`

∴ `"B"/100 xx 100 = 35/50 xx 100`

∴ B = 70.

∴ The Karmavir group was more successful in conserving the trees they had planted.

Concept: Ratios to Percents
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