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In an examination, A has scored 20 marks more than B. If B has scored 5% less marks than A, how much has B scored?
- a)360
- b)380
- c)400
- d)420
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
In an examination, A has scored 20 marks more than B. If B has scored ...
Check options directly.
Start with (a). If B is 360, A will be 380. Now, 5% of 380 = 19. So B will become 380 – 19 = 361. Hence this option is wrong (B is 360, not 361).
If B is 380, A will be 400. Now, 5% of 400 = 20. So B will be 400 – 20 = 380. Hence (b) is correct. You do not need to check options (c) and (d) at all.
Most Upvoted Answer
In an examination, A has scored 20 marks more than B. If B has scored ...
Given information:
- A scored 20 marks more than B
- B scored 5% less marks than A
To find:
- How much did B score?
Solution:
Let's assume B's score as x.
Then, according to the given information, A's score will be (x+20).
Also, we know that B scored 5% less marks than A. Mathematically, we can write it as:
x = (A - 5/100*A)
x = 0.95A
Now, substituting the value of A from the first equation, we get:
x = 0.95(x+20)
x = 0.95x + 19
0.05x = 19
x = 380
Therefore, B scored 380 marks.
Answer: Option B
- A scored 20 marks more than B
- B scored 5% less marks than A
To find:
- How much did B score?
Solution:
Let's assume B's score as x.
Then, according to the given information, A's score will be (x+20).
Also, we know that B scored 5% less marks than A. Mathematically, we can write it as:
x = (A - 5/100*A)
x = 0.95A
Now, substituting the value of A from the first equation, we get:
x = 0.95(x+20)
x = 0.95x + 19
0.05x = 19
x = 380
Therefore, B scored 380 marks.
Answer: Option B
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Community Answer
In an examination, A has scored 20 marks more than B. If B has scored ...
Let B scored m marks.
So, A scored m + 20 marks.
Let maximum marks be M.
According to the question, B has scored 5% less marks than A.
So, marks scored by B = (100 - 5)% of A
m = 95/100 � (m + 20)
100m = 95m + 1900
5m = 1900
m = 380
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In an examination, A has scored 20 marks more than B. If B has scored 5% less marks than A, how much has B scored?a)360b)380c)400d)420Correct answer is option 'B'. Can you explain this answer?
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