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UPSC Prelims

Mathematics

Theme:

Ratio, Proportion, Partnership and Mixture / अनुपात, समानुपात, साझेदारी और मिश्रण

Q47 2017, Ratio, Proportion, Partnership and Mixture

There is a milk sample with 50% water in it. If 1/3rd of this milk is added to equal amount of pure milk, then water in the new mixture will fall down to

दूध के एक नमूने में 50% पानी है। यदि इस दूध का 1/3 भाग इतनी ही मात्रा के शुद्ध दूध में मिलाया जाए, तो नए मिश्रण में पानी की मात्रा कितने प्रतिशत रह जाएगी?

Explanation Please wait..

Let the weight of mixture = 100 g. So amount of milk in mixture = 50 g, and amount of water in mixture = 50 g.

We then took one-third of the mixture i.e. 100 g mixture (= 100/3 g).

It has (100/3) / 2 water and (100/3) / 2 milk. (coz 50% both)

We added 100/3 pure milk to it.

So finally we have a mixture equal to:

100/3 milk + (100/6) water + (100/6) milk = 400 / 6 g mixture.

So amount of Water in this final mixture=

[ 100 / 6 ] / [ 400 / 6 ] = 1 / 4 = 25 %.

So final percent of water in the mixture= 25%.

व्याख्या Please wait..

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