Question

A person spends 30% of his monthly income on rent, ‘X’ % on sports, ‘Y’% on transport and rest is saved by him which is Rs 4800. If his monthly income is Rs 12000 and value of ‘Y’ is one-third of the value of ‘X’ then how much amount does he spend on transport?​

Answer 1

Answer:

Rs900

Step-by-step explanation:

Given,

Rent = 30% of 12000

x% = x%

y% = 1/3x

Remaining = 4800

To find,

Money spent on transport (y%)

Procedure,

$money \: spent \: on \: rent = 30\% \: of \: 12000 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{30}{100} \times 12000 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{30 \times 12000}{100} \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{360000}{100} \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 3600$

$money \: that \: remains \: from \: 12000 = 4800$

$\therefore \: money \: left \: for \: x \: and \: y = 1 2000 - (3600 + 4800) \\ = 12000 - 8400 \\ = 3600$

So, we have 3600 that is to be distributed between x and y. And ultimately y will be the answer.

Now,

Let x = 3x

y = x

$3x + x = 3600$

$4x = 3600$

$x = \frac{3600 }{4}$

$x = 900$

Now,

$3x = 900 \times 3 \\ = 2700$

$x \: \: \: = 900 \times 1 \\ = 900$

Therefore,

X = 3600

Y = 900.

Our answer is y.

Therefore, total money spent on transport is Rs900.

Hope it helps you