Question

An amount of Rs. 992 is to be divided among
three people so that Rishi receives twice as
much as Sameer, who receives one fifth as
much as Garima. How much money should
Garima receive? (in Rs)​

Answer 1

Given :

• An amount of Rs. 992 is to be divided among  three people so that Rishi receives twice as  much as Sameer, who receives one fifth as  much as Garima.

To find :

• How much money should  Garima receive? (in Rs)​

Solution :

Let the money received by Garima be Rs. y

∴ Money received by Sameer = Rs. y/5

∴ Money received by Rishi = Rs. 2 * y/5 = Rs. 2y/5

Now atq,

⇒ 2y/5 + y/5 + y = 992

⇒ (2y + y + 5y)/5 = 992

⇒ 8y = 992 * 5

⇒ 8y = 4960

⇒ y = 4960/8

⇒ y = Rs. 620

Therefore,

Money received by Garima = Rs. 620

Answer 2

Given

total amount= 992

total people= 3

To find

amount that Garima recived

Solution

★ let sammer get y rupess

★ so money that rishi recieve = 2y = z

★ let garima recive x rupess

★ sammer = 1/5 x rupess

❐x + y +z = 992

❐x+ 1/5x + 2y= 992

❐x+ 1/5 x+ 2 x (1/5x)= 992

❐8x/5= 992

❐8x= 992 x 5

❐x = 992 x 5/8

❐x= 620

$\bold \red{∴ Garima \: recived \: Rs. \: 620.}$