Home
Class 14
MATHS
A man saves 25 on the purchase of an art...

A man saves 25 on the purchase of an article on which a discount of 20% is allowed. How much did the man pay?
एक व्यक्ति एक वस्तु की खरीद पर जिस पर 20% की छूट दी गई है। ₹25 की बचत करता है। उस व्यक्ति को कितना भुगतान करना पड़ा?

A

A)₹75

B

B)₹ 150

C

C)₹100

D

D)₹125

Text Solution

AI Generated Solution

The correct Answer is:
To solve the problem step by step, we can follow these instructions: ### Step 1: Understand the Discount The problem states that a man saves ₹25 due to a discount of 20% on the article's marked price. This means that the ₹25 he saved represents the amount of discount he received. **Hint:** Remember that the discount is a percentage of the marked price. ### Step 2: Set Up the Equation Let’s denote the marked price of the article as \( M \). The discount of 20% on the marked price can be expressed as: \[ \text{Discount} = 20\% \text{ of } M = \frac{20}{100} \times M = 0.2M \] According to the problem, this discount is equal to ₹25. Therefore, we can set up the equation: \[ 0.2M = 25 \] **Hint:** To find the marked price, you need to isolate \( M \) in the equation. ### Step 3: Solve for Marked Price To find \( M \), divide both sides of the equation by 0.2: \[ M = \frac{25}{0.2} = 125 \] **Hint:** When dividing by a decimal, you can multiply both the numerator and the denominator by 10 to make it easier. ### Step 4: Calculate the Amount Paid The amount paid by the man after the discount is the marked price minus the discount. The discount is ₹25, so: \[ \text{Amount Paid} = M - \text{Discount} = 125 - 25 = 100 \] **Hint:** Always subtract the discount from the marked price to find the final amount paid. ### Conclusion Thus, the man paid ₹100 for the article. **Final Answer:** ₹100

To solve the problem step by step, we can follow these instructions: ### Step 1: Understand the Discount The problem states that a man saves ₹25 due to a discount of 20% on the article's marked price. This means that the ₹25 he saved represents the amount of discount he received. **Hint:** Remember that the discount is a percentage of the marked price. ### Step 2: Set Up the Equation ...
Promotional Banner