Aptitude - Chain Rule - Discussion

Let no.of machines - 'm', no.of bottles - 'b', no.of minutes(time) - 't'.

For this type of problems, first know what we have to find? here we have to find bottles i.e. 'b'.

Now, find out the relation of 'b' with other parameters 'm' and 't'.

If no.of machines increases, no.of bottles increases(direct proportion)
m & b.....(1) **Assume &-proportionality symbol**

If no.of minutes increases, no.of bottles increases(direct proportion)
t & b......(2)

From (1)&(2)

mt & b......(3)

=> (mt/b)=constant
=> (m1*t1)/b1=(m2*t2)/b2
=> (6*1)/270=(10*4)/x
=> x=1800.

6 machines produces 270 bottles in 1 minute so first we check how many bottles 1 machine can produce in 1 minute.

i.e. 270/6=45 bottles in 1 minute.

1 machine can produce 45 bottles in 1 minute.

Now we will check how many bottles can be produced in 4 mints.

i.e. 45*4=180 bottles.

1 machine can produce 180 bottles in 4 minutes 10 machines can produce 1800 bottles in 10 minutes.

@Nishant.

(num of machine) * time = work.
First given, 6M * 1min = 270.
Then 1 machine =270/6= 45.
Second step given 10m * 4 = work -->1).
We know 1MACHINE=45 PUT IN EQ -->1.
10 * 45 * 4 = 450 * 4 = 1800.
It's simple hope you understand.

Hello @Sandy.

Your doubt was how do we evaluate propotions.

So, if more and less are there or less and more are there it is indirect.

And if more and more are there or les and less are there it is direct proportion.

Hope it will helps.

What kind of formula is this? they change formula whenever they want to. See the 1st and 3rd question. Both are same. Which formula is correct. They change the sequence of formula. Anybody help it, please.

6 Machine ----- 1min ----- 270 bottle,
1 Machine ----- 1min ----- 270/6 bottle,
1 Machine ----- 4min ----- (270/6) * 4,
10 Machine ----- 4min ----- (270/6) * 4 * 10.

So, 1800 is the answer.

When Direct Proportion: M1*D2*H1 = M2*D2*H2. I cannot understand the rule for calculating direct proportion amount especially using the formula. Please explain and provide worked example.

6 Machine in 1 minute produce 270 units.

So, 1 machine in 1 minute produce 270/6 or 45 units.
So, 10 machines working 4 minutes produce = 45 x 10 x 4 or 1800 units.

1 machine can produce= 270/6=45 bottles (in 1 minute)
10 machines can produce=10*45=450 bottles(in 1 minute)
so in 4 minutes no of bottles produced= 450*4=1800

6 M/C = 270 Bottles/min.

1 M/C = 270/6 Bottles/min = 45 Bottles/min.

10 M/C = 45*10 = 450 Bottles/min.

So, in 4 min,

Number of Bottles = 450*4 = -1800.