Provide math questions related to the SSC exam.
Understand the Problem
The user is asking for math questions related to the SSC (Staff Selection Commission) exam. This likely means questions related to quantitative aptitude, arithmetic, algebra, geometry, trigonometry, and data interpretation, tailored to the SSC exam syllabus.
Answer
₹800
Answer for screen readers
The marked price of the item is ₹800.
Steps to Solve
- Understand the problem
We need to find the marked price of an item given the cost price, discount percentage, and profit percentage.
- Calculate the selling price
The shopkeeper makes a 20% profit on the cost price. So, the selling price (SP) can be calculated as:
$SP = CP + 20% \text{ of } CP = CP \times (1 + 0.20)$
Given that the cost price (CP) is ₹600:
$SP = 600 \times 1.20 = 720$
- Relate selling price and marked price
A discount of 10% is given on the marked price (MP). Thus, the selling price is 90% of the marked price:
$SP = MP - 10% \text{ of } MP = MP \times (1 - 0.10) = MP \times 0.90$
- Calculate the marked price
We know the selling price is ₹720. We can solve for the marked price (MP) using the equation from Step 3:
$720 = MP \times 0.90$
$MP = \frac{720}{0.90} = 800$
The marked price of the item is ₹800.
More Information
Marked price is a retail technique extensively used to lure customers. It involves artificially inflating the price of a product and then offering discounts on it to give the illusion of a good deal.
Tips
A common mistake is to apply the profit percentage to the marked price instead of the cost price or to apply the discount to the cost price instead of the marked price. Always carefully identify the base on which percentages are calculated. Another error is incorrectly calculating percentages, for example, calculating 10% of 600 as 6 instead of 60.
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