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BOOST YOUR APTITUDE WITH TRICKS! PART-2

Hey Learners ,in the Part 1 we have seen the first 4 types of problems in the chapter RATIO & PROPORTION, Now let us see the remaining 4 types of problems and their solving strategies!

Optimistic Learners is here to enhance your aptitude skills with some tips and tricks.


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Here we go with the chapter : RATIO & PROPORTIONS


Types of problem : PART -2


  • Finding A: D from A: B, B: C and C: D.

  • Usage of Common Factor x.

  • Finding number of Coins in a bag.

  • Adding and removing quantities.

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Want to learn the first 4 types of problems in this chapter then click here to learn the part-01

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  • Finding A: D from A: B, B: C and C: D


FORMULA:

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Question:

Ratio between salary of A and B is 3: 5, B and C is 4: 5, C and D is 6: 7. If the salary of A is $ 7200, find the salary of D.



A: D = 72: 175


7200/D = 72/175


D = 17500




FORMULA SUBSTITUTION METHOD:

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  • Usage of Common Factor x

Question:

Two numbers are in the ratio 4: 5. Sum of their squares is 1025. Find the numbers.

Answer:

Substitute the common factor x to the ratio 4: 5 Assume the actual numbers as 4x and 5x Given,


(4x) 2 + (5x) 2 = 1025

16x2 + 25x2 = 1025;

41x2 = 1025 x2 = 25;

x = 5

Substitute x = 5 in 4x and 5x to find the numbers


The numbers are, 20 and 25.

  • Finding number of Coins in a bag.

Question:

A bag contains 5 paise, 10 paise and 20 paise coins in the ratio 2:4:5. Total amount in the bag is Rs. 4.50. How many coins are there in 20 paise?

Answer:

T = (2 x 5) + (4 x 10) + (5 x 20)

= 150 paise

= Rs. 1.50


X = 4.50/1.50 X = 3


Quantity of 20 paise coins

= 5 x 3

= 15 coins.


FORMULA:

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  • Adding and removing quantities.

Question:

Container 1 has milk and water in the ratio 2 : 5. After adding 4 liters of pure water from container 2, the ratio between milk and water in container 1 became 1 : 3. Find the quantity of milk in the container.


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Answer:


Let us assume the actual quantity of milk and water as 2x and 5x.

New quantity of water = 5x + 4

2x/(5x + 4) = 1/3

6x = 5x + 4

x = 4


Quantity of milk = 2x

= 2(4)

= 8 liters.


Practice more to solve them within seconds..! See you soon with a new chapter.

LEARNING NEVER ENDS! LET'S LEARN TOGETHER!


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