If Rs. 306 is 5/9 % of the price of a sofa, then the price of the sofa is

Question

If Rs. 306 is 5/9 % of the price of a sofa, then the price of the sofa is

1. A. ₹ 55080 (Correct answer)
2. B. ₹ 64560
3. C. ₹ 5580
4. D. ₹ 75840

Correct Answer

Option A — ₹ 55080

Detailed Solution & Explanation

The correct answer is ₹ 55080.

Key Points

• If Rs. 306 is 5/9% of the price of the sofa, then: Price = 306 divided by (5/9 divided by 100) = 306 x (9/5) x 100 = 306 x 180 = Rs. 55,080.
• Verification: 5/9% of 55,080 = (5/9)/100 x 55,080 = (5 x 55,080)/(9 x 100) = 275,400/900 = Rs. 306.
• The price of the sofa is Rs. 55,080.