X and Y together have ₹1300. If ₹10 less than three-fifth of the amount of X is equal to half of the amount of Y, then how much does X have?
Answer & explanation
Correct answer: option 2
X + Y = Rs. 1300,
Y = 1300 - X,
⇒ Here, \(\frac{3x}{5}\) - 10 = \(\frac{1300 - x}{2}\)
⇒ \(\frac{3x}{5}\) - \(\frac{x}{2}\) = 650 + 10
⇒ \(\frac{11x}{10}\) = 660
⇒ x = Rs. 600
Therefore, X have Rs. 600.