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Mother wants to divide Rs 36 between her daughters Shreya and Bhoomika in the ratio of their ages. If age of Shreya is 15 years and age - Mathematics

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Question

Mother wants to divide Rs 36 between her daughters Shreya and Bhoomika in the ratio of their ages. If age of Shreya is 15 years and age of Bhoomika is 12 years, find how much Shreya and Bhoomika will get.

Sum

Solution

Ratio of ages = `15/12 = 5/4`

Therefore, mother wants to divide Rs 36 in a ratio of 5 : 4.

Terms of 5 : 4 are 5 and 4.

Sum of these terms = 5 + 4 = 9

Shreya will get  of the total money and Bhoomika will get `4/9` of it.

Amount that Shreya will get = `5/9 xx 36 = 20`

Amount that Bhoomika will get = `4/9 xx 36 = 16`

Therefore, Shreya and Bhoomika will get Rs 20 and Rs 16 respectively.

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Chapter 12: Ratio and Proportion - EXERCISE 12.1 [Page 252]

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NCERT Mathematics [English] Class 6
Chapter 12 Ratio and Proportion
EXERCISE 12.1 | Q 15. | Page 252

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