Change set
Pick exam & year, then Go.
Question map
In a game between X and Y, X has to give ₹ 10 each time he loses to Y. If he wins, then he gets ₹ 50 from Y. If they play 15 times and X earns ₹ 450, how many times does X win?
Explanation
To find the number of times X wins, we can set up a linear equation. Let w be the number of games X wins and l be the number of games X loses.
Given:
1. Total games played: w + l = 15
2. Total earnings: 50w - 10l = 450
From the first equation, we can express the number of losses as l = 15 - w. Substituting this into the second equation:
50w - 10(15 - w) = 450
50w - 150 + 10w = 450
60w - 150 = 450
60w = 600
w = 10
Thus, X wins 10 times. We can verify this: if X wins 10 times, he loses 5 times (10 + 5 = 15). His earnings would be (10 × 50) - (5 × 10) = 500 - 50 = 450, which matches the problem statement.
SIMILAR QUESTIONS
In a bag, there are notes of ₹ 10, ₹ 20 and ₹ 50 in the ratio of 1 : 2 : 3. If the total money is ₹ 1,000, how many notes of ₹ 10 are there ?
Ten (10) items of a product are sold for ₹ 100 at 10% profit. If 12 items of the same product are sold for ₹ 100, then the gain/loss (in %) would be :