Multiple choice

The prices of two articles are in the ratio of $2 : 5$. If the price of the first article be increased by $25$% and that of the second by Rs $25$, ratio becomes $1/3$. The original price of second article is ?

  1. $30$
  2. $40$
  3. $50$
  4. $60$
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let the prices be 2x and 5x. Increasing the first by 25% gives 2x * 1.25 = 2.5x. The new ratio is 2.5x / (5x + 25) = 1/3. Cross-multiplying gives 7.5x = 5x + 25, so 2.5x = 25, which means x = 10. The original price of the second article is 5x = 50.

AI explanation

Let the original prices of the two articles be 2x and 5x. After the increase, their new prices become 1.25 times 2x and 5x plus 25. The new ratio is 2.5x divided by (5x + 25), which equals 1/3. Cross-multiplying gives 7.5x = 5x + 25, so 2.5x = 25 and x = 10. The original price of the second article is 5x, which is 5 times 10, giving Rs. 50.

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