Question

Brian & Paul share a lottery win of £7800 in the ratio 1 : 4.
Brian then shares his part between himself, his wife & their son in the ratio 1 : 6 : 3.
How much more does his wife get over their son?

Answer 1

Answer

First, we should find that, how much money does Brian get's at first while it's divided between him and Paul.

According to the question,

$\sf \dashrightarrow 1 : 4 = 7800$

$\sf \dashrightarrow 1x + 4x = 7800$

$\sf \dashrightarrow 5x = 7800$

$\sf \dashrightarrow x = \dfrac{7800}{5}$

$\sf \dashrightarrow x = 1560$

Now, we can find the total money given to Brian.

Total money given to Brian :

$\sf \dashrightarrow 1x = 1(1560)$

$\sf \dashrightarrow Rs.1560$

Now, we can find the money given to his wife and his sons.

$\sf \dashrightarrow 1 : 6 : 3 = 1560$

$\sf \dashrightarrow 1x + 6x + 3x = 1560$

$\sf \dashrightarrow 10x = 1560$

$\sf \dashrightarrow x = \dfrac{1560}{10}$

$\sf \dashrightarrow x = 156$

Total money given to himself :

$\sf \dashrightarrow 1x = 1(156)$

$\sf \dashrightarrow Rs.156$

Money given to his wife :

$\sf \dashrightarrow 6x = 6(156)$

$\sf \dashrightarrow Rs.936$

Money given to his son :

$\sf \dashrightarrow 3x = 3(156)$

$\sf \dashrightarrow Rs.468$

Now, we can find the answer of this question, i.e, more money given to wife that son.

More money given to wife than son :

$\sf \dashrightarrow 936 - 468$

$\sf \dashrightarrow Rs.468$

Hence, his wife is given with ₹468 more than his kids.