Question 64

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?

Solution

X and Y together have ₹1300.

X + Y = 1300 Eq.(i)

If ₹10 less than three-fifth of the amount of X is equal to half of the amount of Y.

$$\frac{3}{5}$$ of X - 10 = $$\frac{1}{2}$$ of Y

0.6X - 10 = 0.5Y

Multiply the above equation by 2.

1.2X - 20 = Y Eq.(ii)

Put the value of 'Y' from Eq.(ii) to Eq.(i).

X + (1.2X - 20) = 1300

2.2X - 20 = 1300

2.2X = 1320

The amount of money X has = ₹600

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