>
Exams
>
Quantitative Aptitude
>
Profit and Loss
>
an item is sold for rs 1200 at a 20 profit find th
Question:
An item is sold for Rs. 1200 at a 20 profit. Find the cost price.
Show Hint
Use $\text{CP} = \frac{\text{SP}}{1 + \frac{\text{Profit}}{100}}$ for profit problems.
CAT - 2013
CAT
Updated On:
Jul 31, 2025
900
960
1000
1100
Hide Solution
Verified By Collegedunia
The Correct Option is
C
Solution and Explanation
-
Step 1: CP formula.
SP = $1.2 \cdot \text{CP} = 1200$.
-
Step 2: Solve.
$\text{CP} = \frac{1200}{1.2} = 1000$.
-
Step 3: Verify.
$1000 \cdot 1.2 = 1200$.
-
Step 4: Conclusion.
Option (3) 1000 is correct.
Download Solution in PDF
Was this answer helpful?
0
0
Top Questions on Profit and Loss
A bought an article at a certain price and sold it at 10% profit. B bought the same article at a price 10% lesser than A and sold it at ₹18 lesser than A. B's gain percentage in this deal is 20%. At what price B bought the article?
CUET (PG) - 2025
General
Profit and Loss
View Solution
A shopkeeper bought an item for ₹7825 and marked it at 30% higher than the cost price. If he sells the item by allowing 20% discount, then his profit percentage will be:
CUET (PG) - 2025
General
Profit and Loss
View Solution
What will be the profit percentage on selling an article at a certain price if there is 30% loss on selling the article at \(\frac{4}{5}\) of the selling price?
CUET (PG) - 2025
General Management
Profit and Loss
View Solution
Two bikes were sold for a total of Rs.1,50,000. One bike was sold at \(33\frac{1}{3}\)% loss and the other at 20% profit. The cost price of the first bike is equal to the selling price of the other bike. Find the overall loss.
CUET (PG) - 2025
General Management
Profit and Loss
View Solution
A shopkeeper makes a profit of 17% by giving a discount of 22% on the marked price of an article. But with a view to gain more profit, he reduces the discount to 18% and makes a higher profit. How much is the difference in his profit percentage with this reduction in discount?
MAT - 2025
Mathematics
Profit and Loss
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
ABCD is a rectangle with sides AB = 56 cm and BC = 45 cm, and E is the midpoint of side CD. Then, the length, in cm, of radius of incircle of
\(\triangle ADE\)
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
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
View More Questions