Maths : Mixing in Ratio

Question : An investor gives money Rupees 10,000 partly to X and Y at 6 % and 10 %  interest rate respectively. If investor earn 750 Rupees in a year . What amount he gave to person Y ?


Answer  Rupees 3750

Easy Method
                                               
                                       

So investor gives money to X and Y in ratio of 3 : 5
So Y get = 5* 10000 / (3 + 5) = 6250

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Question :  A and B are two alloys of zinc and copper has ratio of metals 3:2  and 7:8  respectively.
If equal quantities of alloys are melted to form third alloy then what will be the ratio of zinc and copper ?

Zinc in Alloy A = 3 out of 5 ( 3 + 2 )
Zinc in Alloy B = 7 out of 15 ( 7 + 8 )

 Same Quantity of alloy mixed so LCM of 5 and 15  which is 15
15 Alloy A and 15 Alloy B mixed

Total Zinc in Third Alloy = (3 x 15 / 5)  + 7 = 16 out of 30
Total copper in third alloy = 30 - 16 = 14

ratio ( zinc to copper ) = 16 / 14 = 8 : 7

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Question  :  A mixture of 20 litres of milk and water contains 20 % of water . How much water should be added to this so that water will be 33.33% in new mixture ?

Answer : 4 litre water need  to add

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Question :  In a mixture of 15 litres , the ratio of milk and water is 3:2 . How much water need to be added in mixture to make the ratio 9:8?


  Answer  :   15 Litres of mixture will 9 ltr milk and 6 ltr water .
                         After adding 2 ltr water ratio will become 9 : 8.


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