Multiple choice

An identical pair of shoes was sold at same rate by shopkeepers of two different shops. The price at the first shop was increased by 20% in the month of January and then decreased by 15% in the month of April. At the second shop, the price was decreased by 10% in the month of January and increased by 30% in the month of April. In April, by what percent is the price at the second shop higher than that at the first shop?

  1. 10.2%

  2. 14.7%

  3. 17.4%

  4. 22.5%

  5. 25.6%
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let the initial price be 100. Shop 1: 100 * 1.20 * 0.85 = 102. Shop 2: 100 * 0.90 * 1.30 = 117. The difference is 117 - 102 = 15. The percent increase relative to Shop 1 is (15 / 102) * 100 = 14.705%.

AI explanation

Let the initial price at both shops be 100. At the first shop, the April price is 100 increased by 20% and then decreased by 15%, calculated as 100 * 1.20 * 0.85, resulting in 102. At the second shop, the April price is 100 decreased by 10% and then increased by 30%, calculated as 100 * 0.90 * 1.30, resulting in 117. The difference is 117 minus 102, which is 15, and dividing by 102 gives (15/102) * 100, meaning the price at the second shop is approximately 14.7% higher.

Keep practicing — related questions