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Ramu got a new table for 25% discount. H...

Ramu got a new table for 25% discount. Had he got no discount, Ramu would have had to pay Rs185 more. How much did Ramu pay for the table?

A

535

B

545

C

555

D

565

Text Solution

AI Generated Solution

The correct Answer is:
To solve the problem step by step, we will follow the reasoning provided in the video transcript. ### Step 1: Understand the Discount Ramu received a 25% discount on the table. This means that if he had not received the discount, he would have paid an additional Rs 185. ### Step 2: Set Up the Equation Since the 25% discount corresponds to Rs 185, we can set up the equation: - Let the original price of the table (without discount) be \( P \). - The discount amount (25% of \( P \)) is equal to Rs 185. ### Step 3: Calculate the Original Price From the relationship established in Step 2: \[ 0.25P = 185 \] To find \( P \), we can rearrange the equation: \[ P = \frac{185}{0.25} \] Calculating this gives: \[ P = 185 \times 4 = 740 \] So, the original price of the table is Rs 740. ### Step 4: Calculate the Price Ramu Paid Since Ramu received a 25% discount, he only paid 75% of the original price. Therefore, we calculate: \[ \text{Price paid} = 0.75P = 0.75 \times 740 \] Calculating this gives: \[ \text{Price paid} = \frac{75}{100} \times 740 = \frac{3}{4} \times 740 \] Calculating further: \[ \text{Price paid} = 555 \] Thus, Ramu paid Rs 555 for the table. ### Final Answer Ramu paid Rs 555 for the table. ---
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