Math, asked by Eli10, 7 months ago

Richie Rich donates two-fifths of his annual earnings to six charity institutions in the ratio of 2:2:3:5:6:7. If the charity institution with the largest share received Php. 2,275,840 last year, how much did the philanthropist earn?

Answers

Answered by RvChaudharY50

Given :- Richie Rich donates two-fifths of his annual earnings to six charity institutions in the ratio of 2:2:3:5:6:7. If the charity institution with the largest share received Php. 2,275,840 last year, how much did the Richie earn annually ?

Solution :-

Let us assume that, the annual income of Richie is php x .

Than,

→ sum she donates = (2/5) of x = (2x/5) php.

now, given that, this donation was distributed in 6 charity institutions in the ratio of 2 : 2 : 3 : 5 : 6 : 7.

So, we can say that,

First charity institution received = (2/25) of total donation sum.
second charity institution received = (2/25) of total donation sum.
Third charity institution received = (3/25) of total donation sum.
Fourth charity institution received = (5/25) of total donation sum.
Fifth charity institution received = (6/25) of total donation sum.
sixth charity institution received = (7/25) of total donation sum.

as, we can see , sixth charity institution received largest share of donation sum .

also, given that,

the largest share received was = Php. 2,275,840

Therefore, we can conclude that,

→ (7/25) of total donation sum = Php. 2,275,840

→ (7/25) of (2x/5) = Php. 2,275,840

→ (14x/125) = 2275840

→ 14x = (2275840 * 125)

dividing both sides by 14,

→ x = php 20,320,000 (Ans.)

Hence, Richie earn " php 20,320,000" annually.