Aptitude - Chain Rule - Discussion

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.

6 machines = 270 (1min).
10 machines = ? (4min).
10 machines x 4 min = 40 machines (1 min).

Now cross multiply,
40x270/6 = 1800.

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.

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.

It can also be more machines, Less Minutes (Indirect Proportion).

And Less Machine more minutes (Indirect Proportion). Right? Correct me If I am wrong.

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.

@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.

270/6 x 10 x 4 = 1800.

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.

Machine. Minutes. Bottles.

1. 1. 45.
6. 1. 270.
10. 1. 450.
10. 4. 1800.