Aptitude - Percentage - Discussion

@Dezal.

Solve it through vein diagram.
60 + 50 = 110.
10 is extra count and it is the number of students who passed in both subject.

Why X is taken? It is already given Rs. 25, out of which 30 paise went on sales tax.

Please explain why 30 paise is deducted?

In a class 60% of students passed in Telugu, 50% 0f students passed in English. Then if every student Passed in either Telugu or English or both the subjects. Then what is the percentage of students passed in both the subjects?

Can anyone help me to solve this problem?

Simple:

X be taxed items.
Y be non-taxed items.

Rs.25
Tax 30 Paise.
Tax 6%.

(6/100)X = (30/100).
X = 5.

Y = (25-(X+0.30)).
Y = 19.70.

Tax = 6%.

There for tax = 6% of 24.7 (excluding 30 ps).

That is = 1. 482.

Therefore tax free = 25 - (1.482 + 0.3) = 23.218 know?

@Scarlet:

2) A container contains 30 litres of alcohol. From this container 5 litres of liquid is taken out and the container is completely filled by water. Next time 6 litres of mixture was taken out and the container was completely filled with water. Approx how much percent alcohol is left behind in the container?

5 litres removed from 30 liters.

>>> alcohol removed = 5(25/30).

= 4.16 liters.

>>> alcohol present = 25 - 4.16.

= 20.84 liters.

Now 6 liters removed from 30 liters.

>>> alcohol removed = 6 (20.84/30).

= 4.168 liters.

>>> alcohol present = 20.84 - 4.168.

= 16.67 liters.

Now we are asked % of alcohol present:

= 16.67 of 30.

= 16.67/30 * 100 = 55.56 %.

There is an also another way.

1) The bought thing of Rs. 25.

2) 30 paise (0.030).

So subtract it 25-(0.030) = 24.7.

Then 30/6*100 = 30/6 = 5.

Subtract 24.7-5 = 19.7.

So here you get 19.7.

Cost of stationary item is Rs. 25 which is included tax 30 paise.

So cost of item without tax is 25-0.30 = 24.70.

Now according to question let cost of item in which applying tax be X.

So 6% of X = 30/100 (because to convert paise into rupee divide by 100).

= 6/100*X = 30/100.

X = 5 rupees.

Now, cost of item with tax free = 24.70-5 = 19.70.

Really I can't get any thing please any one explain me clearly.