Question

divide Rs 880 in the ratio 1/5:1/6​

Answer 1

Step-by-step explanation:

Let the two parts of 880 be $\frac{1}{5}x \:\& \:\frac{1}{6}x$

$\therefore \: \frac{x}{5} + \frac{x}{6} = 880 \\ \\ \therefore \: \frac{6x + 5x}{5 \times 6} = 880 \\ \\ \therefore \: \frac{11x}{30} = 880\\ \\ \therefore \: x = 880 \times \frac{30}{11}\\ \\ \therefore \: x = 80 \times 30\\ \\ \therefore \: x = 2400 \\ \\ \implies \: \\ \frac{1}{5} \times x = \frac{1}{5} \times 2400 = 480 \\ \\ \frac{1}{5} \times x = \frac{1}{6} \times 2400 = 400$

Thus, two parts of 880 in the given ratios are ₹480 and ₹400.

Answer 2

Step-by-step explanation:

Let the parts be in 1/5x and 1/6x

Therefore,

$\frac{1}{5} x + \frac{1}{6} x = 880 \\ </p><p> \frac{x}{5} + \frac{x}{6} = 880 \\ </p><p> \frac{6x + 5x}{5 \times 6} = 880 \\ </p><p> \frac{11x}{30} = 880 \\ 11x = 880 \times 30 \\ </p><p>x = \frac{26400}{11} \\</p><p> x = 2400$

Therefore, the first part =

$\frac{1}{5} x = \frac{1}{5} \times 2400 = 480$

and the second part =

$\frac{1}{6} x = \frac{1}{6} \times 2400 = 400$

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