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In an examination A gets 10% marks less than B and B gets 25% marks more than C and C gets 20% marks less than D. If A gets 270 marks in 500 then D get-
- a)40%
- b)50%
- c)45%
- d)60%
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
In an examination A gets 10% marks less than B and B gets 25% marks m...
A : B = 9:10
B : C = 5 : 4
C : D = 4 : 5
A : B : C : D = 9 : 10 : 8 : 10
9 = 270
10 = 300
Most Upvoted Answer
In an examination A gets 10% marks less than B and B gets 25% marks m...
A : B = 9:10
B : C = 5 : 4
C : D = 4 : 5
A : B : C : D = 9 : 10 : 8 : 10
9 = 270
10 = 300
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In an examination A gets 10% marks less than B and B gets 25% marks m...
The given question is a problem-solving question that requires us to calculate the marks obtained by D in the examination. We are given the marks obtained by A and the percentage difference in marks between A, B, C, and D.
Let's solve the problem step by step:
Step 1: Calculate the marks obtained by B
Given that A gets 10% less marks than B, we can calculate the marks obtained by B using the following formula:
Marks obtained by B = Marks obtained by A / (1 - 10/100)
Substituting the given values, we get:
Marks obtained by B = 270 / (1 - 10/100)
= 270 / (1 - 0.1)
= 270 / 0.9
= 300
So, B obtains 300 marks.
Step 2: Calculate the marks obtained by C
Given that B gets 25% more marks than C, we can calculate the marks obtained by C using the following formula:
Marks obtained by C = Marks obtained by B / (1 + 25/100)
Substituting the given values, we get:
Marks obtained by C = 300 / (1 + 25/100)
= 300 / (1 + 0.25)
= 300 / 1.25
= 240
So, C obtains 240 marks.
Step 3: Calculate the marks obtained by D
Given that C gets 20% less marks than D, we can calculate the marks obtained by D using the following formula:
Marks obtained by D = Marks obtained by C / (1 - 20/100)
Substituting the given values, we get:
Marks obtained by D = 240 / (1 - 20/100)
= 240 / (1 - 0.2)
= 240 / 0.8
= 300
So, D obtains 300 marks.
Step 4: Calculate the percentage of marks obtained by D
To calculate the percentage of marks obtained by D, we can use the following formula:
Percentage of marks obtained by D = (Marks obtained by D / Total marks) * 100
Substituting the given values, we get:
Percentage of marks obtained by D = (300 / 500) * 100
= 0.6 * 100
= 60%
Therefore, the correct answer is option D) 60%.
Let's solve the problem step by step:
Step 1: Calculate the marks obtained by B
Given that A gets 10% less marks than B, we can calculate the marks obtained by B using the following formula:
Marks obtained by B = Marks obtained by A / (1 - 10/100)
Substituting the given values, we get:
Marks obtained by B = 270 / (1 - 10/100)
= 270 / (1 - 0.1)
= 270 / 0.9
= 300
So, B obtains 300 marks.
Step 2: Calculate the marks obtained by C
Given that B gets 25% more marks than C, we can calculate the marks obtained by C using the following formula:
Marks obtained by C = Marks obtained by B / (1 + 25/100)
Substituting the given values, we get:
Marks obtained by C = 300 / (1 + 25/100)
= 300 / (1 + 0.25)
= 300 / 1.25
= 240
So, C obtains 240 marks.
Step 3: Calculate the marks obtained by D
Given that C gets 20% less marks than D, we can calculate the marks obtained by D using the following formula:
Marks obtained by D = Marks obtained by C / (1 - 20/100)
Substituting the given values, we get:
Marks obtained by D = 240 / (1 - 20/100)
= 240 / (1 - 0.2)
= 240 / 0.8
= 300
So, D obtains 300 marks.
Step 4: Calculate the percentage of marks obtained by D
To calculate the percentage of marks obtained by D, we can use the following formula:
Percentage of marks obtained by D = (Marks obtained by D / Total marks) * 100
Substituting the given values, we get:
Percentage of marks obtained by D = (300 / 500) * 100
= 0.6 * 100
= 60%
Therefore, the correct answer is option D) 60%.
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In an examination A gets 10% marks less than B and B gets 25% marks more than C and C gets 20% marks less than D. If A gets 270 marks in 500 then D get-a)40%b)50%c)45%d)60%Correct answer is option 'D'. Can you explain this answer?
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