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

==============================================================

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

===========================================================

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

===============================================

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.


==============================================

Label : Maths for Kids , Maths Puzzle , Brain Tester ,  Maths Question , Time distance speed
             Maths Problems , Maths worksheet

Comments

Post a Comment

Popular posts from this blog

LCM and HCF problem

Image
Question : There are three numbers such that the product of the first two numbers is 91                  and that of the last two numbers is 221. Find all three numbes and their sum Answer : Suppose numbers are A , B AND C. Also given   A x B  = 91 and B x C = 221 Since the numbers are prime number, they contain only 1 as the common factor. Also, above two products have B in common. So, B = H.C.F. of ( 91 and 221 ) = 13; A  = 91/13 = 7;  C  = 221/13 = 17. Required sum = (7 + 13 + 21 ) = 41. ================================================================= Question : The ratio of two numbers is 3 : 4. The L.C.M. of two numbers is 48.                   Find sum of the number Solution : Let the numbers be 3x and 4x. Then, their L.C.M. = 12x. So, 12x = 48 or x = 4 The numbers are 12 and 16. Hence, required sum = (12 + 16) = 28. ===...
Read more

Line of Symmetry

Image
Line of Symmetry This is a lesson on line symmetry for grades 3-4. It contains variety of exercises for the students. symmetry means that one shape becomes exactly like another. The line of symmetry is an imaginary line where you could fold an image and have both halves match exactly i.e.  if you placed a mirror along the symmetry line, you would see the other half of the figure reflected in the mirror. Exercise on line of Symmetry : Note : 1) Equilateral triangle has three line of symmetry while Isosceles triangle has only one line of symmetry.  2) Square has four line of symmetry while rectangle has two line of symmetry. Pl tell how many line of symmetry do  rhombus   and     parallelogram have
Read more

LCM and HCF

Image
Factor :   Factor for a given number are all the numbers which divides given number completely i.e. if you divide given number by factor then there will be no remainder. Question Write all the factors of 100 ? Prime Number : are the numbers which divided completely by only itself or one.               example 2 , 3 , 5 so on Question :   Write all the prime number till 100 ? ========================================================= HCF : Highest common factor of two or more number is the largest number that divide all the number completely    Factor of 10 are 1 ,  2  and 5    Factor of 15 are 1 , 3   and 5  so common factor of 10 and 15 are 1 and 5 in  which 5 is largest so HCF = 5 Note : HCF will be always less than the smallest number or equal to the smallest number.            HCF for prime numbers is 1. i.e there is no common factor other tha...
Read more