Question: The salaries A, B, C are in the ratio 2 : 3 : 5. If the increments of 15%, 10% and 20% are allowed respectively in their salaries, then what will be new ratio of their salaries?
- 3:3:10
- 10:11:20
- 23:33:60
- 25:39:47
- 7:6:13
Correct Answer: C
Solution and Explanation:
Approach Solution 1:
The problem statement states that:
Given:
- The salaries A, B, C are in the ratio 2 : 3 : 5.
- The increments of 15%, 10%, and 20% are allowed respectively in their salaries
Asked:
- Find out the ratio in their salaries after the increment.
As given in the question:
A:B: C = 2:3:5
Let us assume that the salary of A is 200.
Accordingly, the salary of B will be 300.
The salary of C will be 500.
Note that the ratio of the salaries for the taken value satisfies the equation.
After the increment, the new salary of A will be
A = 200 + 15%(200)
= 200 + \(\frac{15}{100} \)*200
= 230
The new salary of B will be
B = 300 + 10%(300)
= 300 + \(\frac{10}{100} \)* 300
= 300 + 30
= 330
The new salary of C will be
C = 500 + 20%(500)
= 500 +\(\frac{1}{5} \) * 500
= 600
New ratio = A:B:C = 230 : 330 : 600 = 23:33:60
Therefore, the ratio in their salaries after the increment = 23:33:60.
Approach Solution 2:
The problem statement implies that:
Given:
- The salaries A, B, C are in the ratio 2 : 3 : 5.
- The increments of 15%, 10%, and 20% are allowed respectively in their salaries
Asked:
- Find out the ratio in their salaries after the increment.
As stated in the question:
A : B : C = 2 : 3 : 5
Let the salary of A be 2*x where x is any positive number
Similarly, the salary of B = 3x
And the salary of C = 5x
Increment in the salary of A = (1.15) * 2x = 2.3x
Increment in the salary of B = (1.10) * 3x = 3.3x
Increment in the salary of A = (1.20) * 5x = 6x
The new ratio is A:B:C = 2.3x: 3.3x: 6x = 2.3 : 3.3 : 6 = 23:33:60
Therefore, the ratio in their salaries after the increment = 23:33:60.
Approach Solution 3:
The problem statement indicates that:
Given:
- The salaries A, B, C are in the ratio 2 : 3 : 5.
- The increments of 15%, 10%, and 20% are allowed respectively in their salaries
Asked:
- Find out the ratio in their salaries after the increment.
As expressed in the question:
A : B : C = 2 : 3 : 5
The increments of 15%, 10%, and 20% are entitled respectively in their salaries
Therefore, the new ratio will be:
2 x 115/100 : 3 x 110/100 : 5 x 120/100
= 2 x 1.15 : 3 x 1.10 : 5 x 1.20
= 2.3 : 3.3 : 6
=23:33:60.
Therefore, the ratio in their salaries after the increment = 23:33:60.
“The salaries A, B, C are in the ratio 2 : 3 : 5”- is a topic of the GMAT Quantitative reasoning section of the GMAT exam. This topic has been taken from the book “The Official Guide for GMAT Review”. The candidates can evaluate facts and solve numerical problems by doing these GMAT Problem Solving questions. The candidates can follow GMAT Quant practice papers to get familiar with different types of questions that will enable them to improve their calculative performance.
Suggested GMAT Problem Solving Questions
- If 1/x − 1/x+1= 1/x+4, Then x could be GMAT Problem Solving
- If x = - |x|, Then Which One of the Following Statements GMAT Problem Solving
- A Bag Contains 4 Red and 3 Black Balls. A Second Bag Contains 2 Red GMAT Problem Solving
- A Mixture of 40 Litres of Milk and Water, Contains 20% of Water GMAT Problem Solving
- A Candidate is Required to Answer 6 Out of 10 Questions Divided into 2 Groups GMAT Problem Solving
- Company XYZ had $498.2 Million in Profits for the Year GMAT Problem Solving
- If -2 < a < 11 and 3 < b < 12, Then Which of the Following is NOT Always True GMAT Problem Solving
- Karan and Arjun run a 100-metre Race, Where Karan Beats Arjun by 10 metres GMAT Problem Solving
- The Figure below Shows an Equilateral Triangle ABC Tangent GMAT Problem Solving
- Three groups of children contain respectively 3 girls and 1 boy GMAT Problem Solving
- If x=10^{10},\frac{x^2+2x+7}{3x^2-10x+200} is closest to GMAT Problem Solving
- If set S Consists of all Different Solutions of Equation |x – 4| = x, What is the Range of Set S GMAT Problem Solving
- Set T consists of all points (x, y) such that \(x^2+y^2=1\) GMAT Problem Solving
- How Many Natural Numbers Not Exceeding 4321 can be Formed GMAT Problem Solving
- In an Isosceles Triangle PQR, If ∠Q = 80 Degrees, Then What is The GMAT Problem Solving
- Two Members of a Club are to be Selected to Represent the Club GMAT Problem Solving
- The Square Root of 24336 is Exactly GMAT Problem Solving
- A Certain Purse Contains 30 Coins, Each Coin is either a Nickel or GMAT Problem Solving
- Which of the Following is Equal to the Value of 2^5+2^5+3^5+3^5+3^5 ? GMAT Problem Solving
- The Price of a Certain Painting Increased By 20% During the First Year GMAT Problem Solving
- The Population of the Village is 5500. If the Number of Males Increase GMAT Problem Solving
- Machine A Produces 100 Parts Twice as Fast as Machine B does GMAT Problem Solving
- The Difference Between a Two-Digit Number and the Number Obtained GMAT Problem Solving
- Which of the following is always equal to sqrt(9+x^2-6x)?GMAT Problem Solving
- A Colony has Houses Numbered 1 to 150 GMAT Problem Solving
- Two Vessels A and B Contain Milk and Water Mixed in the Ratio 8:5 GMAT Problem Solving
- A Dealer Offers a Cash Discount of 20%. Further, a Customer Bargains GMAT Problem Solving
- If a Regular Hexagon is Inscribed in a Circle with a Radius of 4, The GMAT Problem Solving
- There are Two Vessels A and B. Vessel A is Containing 40 Litres of GMAT Problem Solving
- At A Certain Fruit Stand, The Price Of Each Apple Is 40 Cents GMAT Problem Solving
- The Coordinates Of Vertices P And Q Of An Equilateral Triangle PQR Are GMAT Problem Solving
- A Certain Roller Coaster has 3 Cars, and A Passenger is Equally Likely GMAT Problem Solving
- A Manufacturer Produces a Certain Men's Athletic Shoe in GMAT Problem Solving
- In The Figure Shown Below, The Area of Square Region ACEG is 729 GMAT Problem Solving
- How Many Dimes are There in 4x - 1 Cents? (1 dime = 10 cents) GMAT Problem Solving
- In How Many Ways The Letter Of The Word "Family" Can Be When GMAT Problem Solving
- A Fair Coin Is Tossed 4 Times. What Is The Probability Of Getting At GMAT Problem Solving
- In A Sequence 1, 2, 4, 8, 16, 32, ... Each Term After The First Is Twice GMAT Problem Solving
- What Is The Sum Of Odd Integers From 35 To 85, Inclusive? GMAT Problem Solving
- If x = -3, What Is The Value Of -3x^2? GMAT Problem Solving
- If 2p + 1/p = 4, Then what is the Value of p^3 + 1/8p^3 ? GMAT Problem Solving
- There are 12 Pipes that are Connected to a Tank. Some of them are fill GMAT Problem Solving
- A wire is cut into three equal parts. The resulting segments are then cut GMAT Problem Solving
- There Were R Red Balls And Y Yellow Balls In A Bag. Three Red Balls GMAT Problem Solving
- With An Average Speed Of 40 Km/H, A Train Reaches Its Destination On GMAT Problem Solving
- A Photographer Will Arrange 6 People Of 6 Different Heights GMAT Problem Solving
- What Is The Radius Of The Incircle Of The Triangle Whose Sides Measure GMAT Problem Solving
- The Value Of (2^(-14) + 2^(-15) + 2^(-16) + 2^(-17))/5 Is GMAT Problem Solving
- Points A And B Are 120 Km Apart. A Motorcyclist Starts From GMAT Problem Solving
- A student took five papers in an examination, where the full marks GMAT Problem Solving
Comments