Multiple choice

The marked price of a piano is Rs. 1800. Raju gives successive discounts of 5% and r% to Deepu. If Deepu pays Rs. 1324 for the piano, find the value of r%.

  1. 22.37%

  2. 22.47%

  3. 22.57 %

  4. 26.75%

  5. 28.54%
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Marked Price = 1800. First discount 5%: 1800 * 0.95 = 1710. Second discount r%: 1710 * (1 - r/100) = 1324. 1 - r/100 = 1324/1710 = 0.77426. r/100 = 0.22573. r = 22.57%.

AI explanation

After the first 5 percent discount on Rs. 1800, the price becomes 1800 x 0.95 = Rs. 1710. Let the final price after the second discount of r percent be 1710 x (1 - r/100) = 1324, so (1 - r/100) = 1324 / 1710, which equals 0.77426. Subtracting this from 1 gives r/100 = 0.22574, meaning r is 22.57 percent.

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