**solved**

**quantitative aptitude problems.**Here, we will provide most important

**competitive math question**and easy solution using

**math tricks**. Earlier, we have provided you chapter-wise concept and

**shortcut math formula**. On that tutorials, we have taken some easy math problems to apply shortcuts formula. But now, we are going to apply shortcuts formula in

**exam level math problems**. All the

**quantitative aptitude**will from various chapters. If you need chapter wise math concept, shortcut formula and tricks then click below and read your desire chapter.

Problems 1: If the cost price of an article is 80% of its selling price, then profit percentage will be-

Solution:- Let's selling price is 100 units. And cost price will be 80 unit as per the question. And gain =100-80=20. So, apply to the executing of the

**percentage of profit formula**. Because we know gain and cost price.**Math Problems 2:-**A milkman bought 70 litres of milk for rupees 630 and added costless 5 litres water. If he sells it 9 rupees per litres, then find his profit percentage.

Solution:- We will use above formula again. To use that formula, we have to find total profit he made.

Profit= (Selling price - Cost price)

(70+5)*9 -630= 675-630 = 45 Rupees.

Now apply the above formula:

**Problem 3:**A train starts running from a place at 1 P.M at the rate of 18 km per hours. Another train starts from the same place at 3 P.M in the same direction and over-takes the first train at 9 P.M. The speed of the second train in km/hour is -

**Problem 4:**Water and sugar in two vessels A and B are in the ratio5:3 and 5:4 respectively. In what ratio, the liquids in both the vessels are mixed to obtain a new mixture in vessel C in the ratio 7:5?

Solution: We can solve this problem using arithmetic operation. But the easiest method is the allegation. We use it for the quicker solution.

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