Quantitative Aptitude - Arithmetic Ability Questions

    4:5
    3:2
   -------
=> 12:15:10

 12:10

=> 6:5

Here the ratio of mixtures( i.e milk , water) doesnot matter. But the important point is that whether the total amount ( either pure or mixture ) being transferred is equal or not.Since the total amount ( i.e 5 cups) being transferred from each one to another , hence A =B.

We Know, S.P=100+gain percent100×C.P 

 ⇒C.P =100122.50×392

Profit = 392−320 = Rs72

Given the ratio of efficiencies of P, Q & R are 3 : 8 : 5

Let the efficiencies of P, Q & R be 3x, 8x and 5x respectively

They can do work for 12 days.

=> Total work = 12 x 16x = 192x

Now, the required time taken by Q to complete the job alone = 162x8x = 24days.

A                   B                 C

3x                 4x                5x 

(3x+x)          2x               (5x+x)         (B Gives 1/4 to A and 1/4 to C) 

=4x              2x                 6x 

(4x+x)          2x                 5x              ( C Gives 1/6 to A) 

=5x              2x                 5x

Therefore, 5 : 2 : 5

We have to rearrange the equation to make R the subject.

Start by cross multiplying by (r + R); V (r + R) = 12R

Multiply out the bracket Vr + VR = 12R

we can assume that Amar join into business after x months. So Amar money was invest into  (12 – x ) months.

76000×1257000×(12-x)=21

--> 912000 = 114000 ( 12 – x ) = 114 ( 12 – x ) = 912

--> x = 4

After 4 months amar join the business.

1/2:1/3:1/4 = 6:4:3

As the difference is 3

=> 3/13x2600 = 600