>
Exams
>
Quantitative Aptitude
>
Percentage
>
in an examination the score of a was 10 less than
Question:
In an examination, the score of A was 10% less than that of B, the score of B was 25% more than that of C, and the score of C was 20% less than that of D. If A scored 72, then the score of D was
CAT - 2019
CAT
Updated On:
Jul 28, 2025
80
70
90
60
Hide Solution
Verified By Collegedunia
The Correct Option is
A
Solution and Explanation
To determine the score of D, we begin by establishing relationships between the scores using the given percentage changes:
Score of A:
Let's assume B's score is \( x \). A scored 10% less than B: \[ A = x - 0.10x = 0.90x \]
Score of B in terms of C:
B scored 25% more than C. Let C's score be \( y \): \[ B = 1.25y \]
Score of C in terms of D:
C's score was 20% less than D. Let D's score be \( z \): \[ C = z - 0.20z = 0.80z \]
Using A's score to find D's score:
We know A scored \( 72 \): \[ 0.90x = 72 \]
Solving for \( x \) (B's score): \[ x = \frac{72}{0.90} = 80 \]
Since \( B = 1.25y \) and \( x = 80 \): \[ 1.25y = 80 \] \[ y = \frac{80}{1.25} = 64 \]
Now, using \( C = 0.80z \) and \( y = 64 \): \[ 0.80z = 64 \] \[ z = \frac{64}{0.80} = 80 \]
Thus, the score of D was
80
.
Download Solution in PDF
Was this answer helpful?
0
0
Top Questions on Percentage
A shopkeeper increases the price of an article by 25% and then offers a discount of 20%. What is the net percentage change in the price?
CUET (UG) - 2025
General Aptitude
Percentage
View Solution
A man spends $ \frac{2}{5} $ of his salary on rent, $ \frac{1}{4} $ on food, and $ \frac{1}{10} $ on transportation. What fraction of his salary is left?
CUET (UG) - 2025
General Aptitude
Percentage
View Solution
A number is increased by 25% and then decreased by 20%. What is the net % change?
CUET (UG) - 2025
General Aptitude
Percentage
View Solution
In an exam, the ratio of boys to girls is 3:2. If 20% of the boys and 30% of the girls fail, what is the overall percentage of students who fail?
CUET (UG) - 2025
General Aptitude
Percentage
View Solution
A company's sales increased by 20% in 2022 compared to 2021 and by 25% in 2023 compared to 2022. If the sales in 2021 were ₹10 lakhs, what were the sales in 2023?
SRMJEEE - 2025
Mathematics
Percentage
View Solution
View More Questions
Questions Asked in CAT exam
The sum of all real values of $k$ for which $(\frac{1}{8})^k \times (\frac{1}{32768})^{\frac{4}{3}} = \frac{1}{8} \times (\frac{1}{32768})^{\frac{k}{3}}$ is
CAT - 2024
Logarithms
View Solution
When $10^{100}$ is divided by 7, the remainder is ?
CAT - 2024
Basics of Numbers
View Solution
If $(a + b\sqrt{n})$ is the positive square root of $(29 - 12\sqrt{5})$, where $a$ and $b$ are integers, and $n$ is a natural number, then the maximum possible value of $(a + b + n)$ is ?
CAT - 2024
Algebra
View Solution
A regular octagon ABCDEFGH has sides of length 6 cm each. Then the area, in sq. cm, of the square ACEG is
CAT - 2024
Mensuration
View Solution
Let $x$, $y$, and $z$ be real numbers satisfying
\(4(x^2 + y^2 + z^2) = a,\)
\(4(x - y - z) = 3 + a.\)
Then $a$ equals ?
CAT - 2024
Algebra
View Solution
View More Questions