Question

divide Rs50,000between.two charities intheratio 1 by 10: 1 by 5

Answer 1

Answer:

If a total amount of 50000 is divided in the ratio 1/10 : 1/5 between two charities, then the first one gets Rs 16666.6667 and the second one gets Rs 33333.3333

Step-by-step explanation:

Given

Total amount = Rs 50000

Ratio by which the amount should be divided = 1/10 : 1/5

That is if one charity gets 1/10 x money, the other gets 1/5 x money

So,

$\frac{1}{10} x +\frac{1}{5} x = 50000\\\\\frac{5x +10x}{50} = 50000\\\\\frac{15x}{50} = 50000\\\\x=\frac{50000*50}{15} \\\\=\frac{50000*10}{3} \\\\=\frac{500000}{3}$

so,

The first charity gets 1/10 x =

$\frac{1}{10} * \frac{500000}{3} \\\\= 16666.6667$

So they get Rs 16666.6667

The second charity gets 1/5 x =

$\frac{1}{5} *\frac{500000}{3} \\\\=\frac{100000}{3} \\\\=33333.3333$

So, they get Rs 33333.3333

So the first one gets Rs 16666.6667 and the second one gets Rs 33333.3333