X sells his goods 25\% cheaper than Y and 25\% dearer than Z. How much percentage is Z's goods cheaper than Y?
- A. \frac{100}{3}\%
- B. 40% ✓
- C. 50%
- D. \frac{200}{3}\%
Correct Answer: B. 40%
Explanation
Let Y's price be 100. Then X's price is 75. Since X is 25\% dearer than Z, X = 1.25Z \implies 75 = 1.25Z \implies Z = 60. Z is cheaper than Y by (100-60) = 40, which is 40\% of Y's price.
Related questions on Arithmetic
- What is the remainder when (17^{25} + 19^{25}) is divided by 18?
- A bottle contains spirit and water in the ratio 1:4 and another identical bottle contains spirit and water in the ratio 4:1. In what rat...
- Let P = 5^5 \times 15^{15} \times 25^{25} \times 35^{35} and Q = 10^{10} \times 20^{20} \times 30^{30} \times 40^{40}. What is the numbe...
- Two students X and Y appeared in a test. The score of X is 20 more than that of Y. If the score of X is 75% of the sum of the scores of X an...
- Question: The product of a natural number N and the number M written by the same digits of N in the reverse order is 252. What is the number...