# Tricks to solve Ratio and Proportion Problems Today I'm going to discuss a very helpful trick of ratio and proportion of Quantitative Aptitude section. I'm sure this would be very helpful for you and this trick will save your more than half time, you generally take to solve the question.

Question
Ratios, rates, proportions
Tricks to solve Ratio and Proportion Problems Today I'm going to discuss a very helpful trick of ratio and proportion of Quantitative Aptitude section. I'm sure this would be very helpful for you and this trick will save your more than half time, you generally take to solve the question.

2021-04-16

Ratio and Proportion

• Some facts of Ratio and proportion
• Ratio is written as 2:3, where 2 and 3 are known as terms.
• First term i.e. 2 is known as Antecedent.
• Second term i.e. 3 is known as Consequent.
• 2^2: 3^2 is known as duplicate ratio of 2:3.
• 2^3:3^3 is known as triplicate ratio of 2:3.
• sqrt2: sqrt3 is sub-duplicate ratio of 2:3.
• a^(1/3) : b^(1/3) is sub-triplicate ratio of 2:3.

## Ratio and Proportion Trick

Let me tell you one example which can be solved in 30 sec if you use this trick
Example: If A:B = 3: 4, B: C = 2: 3 and C:D = 5:7, then find A:B:C:D. Solution: General method of solving this question is very lengthy, So let me tell me tell you how can we calculate it easily.

See how it is simple, you just need to remember the pattern and if you notice it, it is really simple . Last and first steps are just the straight lines. So, what is left, just the middle pattern. If I talk about only three terms i.e. A, B and C. Then the pattern will be much easier. Lets see how,

### Let us do an example of 5 terms:

Example: If A: B = 3: 4, B: C = 4: 5, C: D = 1: 2 and D: E = 3: 4, Find A: B: C: D: E.

Solution: Similarly, in this case, make the same pattern as in above cases:

Take a pen and try to make it yourself first or do it step by step by looking the solution. then only you can learn this technique.

A: B: C: D: E = 9: 12: 15: 30: 40
So, this is how we solve these types of questions quickly.
I will update one more session of this chapter regarding proportions.

### Relevant Questions

Mixture or Alligation method of Quantitative Aptitude Alligation means linking. Today I'm going to discuss alligation method with you all. This is one of an important chapters of Quantitative exams. Basically, alligation is a rule that enables us to find the ratio of the quantities of the ingredients at given prices and are mixed to produce a mixture of given price.
Time and Work: Techniques and examples with solutions Today I'm going to discuss a very important topic i.e. Time and Work of quantitative aptitude. In almost every exam at least 2-3 question are asked every time. In this chapter, I will tell you about a definite relationship between Time and work and easy method to solve the problems.
Finance bonds/dividends/loans exercises, need help or formulas
Some of the exercises, calculating the Ri is clear, but then i got stuck:
A security pays a yearly dividend of 7€ during 5 years, and on the 5th year we could sell it at a price of 75€, market rate is 19%, risk free rate 2%, beta 1,8. What would be its price today? 2.1 And if its dividend growths 1,7% each year along these 5 years-what would be its price?
A security pays a constant dividend of 0,90€ during 5 years and thereafter will be sold at 10 €, market rate 18%, risk free rate 2,5%, beta 1,55, what would be its price today?
At what price have i purchased a security if i already made a 5€ profit, and this security pays dividends as follows: first year 1,50 €, second year 2,25€, third year 3,10€ and on the 3d year i will sell it for 18€. Market rate is 8%, risk free rate 0,90%, beta=2,3.
What is the original maturity (in months) for a ZCB, face value 2500€, required rate of return 16% EAR if we paid 700€ and we bought it 6 month after the issuance, and actually we made an instant profit of 58,97€
You'll need 10 Vespas for your Parcel Delivery Business. Each Vespa has a price of 2850€ fully equipped. Your bank is going to fund this operation with a 5 year loan, 12% nominal rate at the beginning, and after increasing 1% every year. You'll have 5 years to fully amortize this loan. You want tot make monthly installments. At what price should you sell it after 3 1/2 years to lose only 10% of the remaining debt.
Solved examples of number series in Quantitative aptitude As we know, questions related to number series are very important in Quantitative aptitude section, So, today I’m going to discuss some problems of number series. These are just for your practice. I have already discussed this chapter in previous session i.e. Sequence and Series. Read this article first, then go through these examples.
$$\displaystyle{b}{e}{g}\in{\left\lbrace{a}{r}{r}{a}{y}\right\rbrace}{\left\lbrace{\left|{c}\right|}{c}{\mid}\right\rbrace}{h}{l}\in{e}\text{Store}&\ \text{ Original Price of Aquarium (\)}\backslash{h}{l}\in{e}\text{Pets Plus}&{118}\backslash{h}{l}\in{e}\text{Pet Planet}&{110}\backslash{h}{l}\in{e}{e}{n}{d}{\left\lbrace{a}{r}{r}{a}{y}\right\rbrace}$$