The income of X and Y are in the ratio of 8: 7 and their expenditures are in the ratio 19: 16. If each saves ₹ 1250, find their incomes.

Home » The income of X and Y are in the ratio of 8: 7 and their expenditures are in the ratio 19: 16. If each saves ₹ 1250, find their incomes.

The income of X and Y are in the ratio of 8: 7 and their expenditures are in the ratio 19: 16. If each saves ₹ 1250, find their incomes.

Solution:

Leave the pay alone signified by x and the consumption be meant by y.

Then, at that point, from the inquiry we have

The pay of X is ₹ 8x and the use of X is 19y.

The pay of Y is ₹ 7x and the use of Y is 16y.

Along these lines, on working out the investment funds, we get

Saving of

$X\text{ }=\text{ }8x\text{ }\text{ }-19y\text{ }=\text{ }1250$

Saving of

$Y\text{ }=\text{ }7x\text{ }\text{ }-16y\text{ }=\text{ }1250$

Thus, the arrangement of conditions framed are

$8x\text{ }\text{ }-19y\text{ }\text{ }-1250\text{ }=\text{ }0\text{ }\text{ }\text{ }\left( I \right)$

$7x\text{ }\text{ }-16y\text{ }\text{ }-1250\text{ }=\text{ }0\text{ }\text{ }\text{ }\left( ii \right)$

Utilizing cross-increase strategy, we have

R D Sharma Solutions For Class 10 Maths Chapter 3 Pair of Linear Equations in Two Variables ex 3.11 - 4

$x\text{ }=\text{ }3750/5$

x = 750

On the off chance that, x = 750,

The pay of X = 8x

8 x 750

= 6000

The pay of Y = 7x

= 7 x 750

= 5250

Along these lines, the pay of X is ₹ 6000 and the pay of Y is ₹ 5250

i

Sign up now and study all subjects for free