Question

A sum of x is divided between A,B,C and D such that the ratio of shares of A and B is 9:5, C's share
is 70% of B's share and the ratio of the share of D to the combined share of B and C is 1:3. If the share
of A is INR 999, the value of
is​

Answer 1

Given :  sum of x is divided between A,B,C and D such that the ratio of shares of A and B is 9:5, C's share is 70% of B's share and the ratio of the share of D to the combined share of B and C is 1:3. If the share

of A is INR 999,

To Find :   the value of  x

Solution:

A = 9k

B = 5k

C's share is 70% of B's share

=> C's share = (70/100)5k = 3.5k

ratio of the share of D to the combined share of B and C is 1:3.

=> D/ (5k + 3.5k)  = 1/3

=> D = 8.5k/3

A = 9k , B = 5k , C = 3.5k , D = 8.5k/3

the share of A is INR 999

9k = 999

=> k = 111

B = 5k = 555

C = 3.5k = 3.5(111)  =  388.5

D =  8.5k/3 = 8.5(111)/3  = 314.5

x = 999 + 555 + 388.5 + 314.5

=> x = 2,257

Learn More:

A sum of x is divided between A, B, C and D such that the ratio of ...

https://brainly.in/question/26145830

A, B and C share profit in the ratio 1/4:1/6:7/12. If C retire, what are ...

brainly.in/question/8959560

An amount of money is to be divided amongx,y,z in the ratio 4:9:16 if ...

brainly.in/question/7572612

Answer 2

$\huge\underline{\overline{\mid{\bold{\red{⚔ANSWER⚔}}\mid}}}$

⠀

$\huge\bf\underline{\underline{\red{GIVEN :}}}$

$\red\bigstar$ The Ratio of shares of A & B is 9:5.

$\red\bigstar$ Share of C is 70% of B's share.

$\red\bigstar$ The Ratio of the share of D to the combined share of B & C is 1:3.

$\red\bigstar$ The share of A is INR 999.

$\huge\bf\underline{\underline{\red{TO \: FIND :}}}$

$\red\bigstar$ The value of x.

$\huge\bf\underline{\underline{\red{SOLUTION :}}}$

$\red\bigstar$ Let A = 9k & B = 5k.

We know that C's share is 70% of B's share,

$➞ \: C's \: share \: = \frac{70}{100} \times 5k$

$➞ \: C's \: share = 3.5k$

We also know that the share of D to the combined share of B & C is 1:3,

$➞ \: \frac{D }{(5k + 3.5k)} = \frac{1}{3}$

$➞ \: D = \frac{(5k + 3.5k)}{3}$

$➞ \: D = \frac{8.5k}{3}$

⠀

⠀⠀⠀⠀⠀⠀$\red\bigstar \: A = 9k$

⠀⠀⠀⠀⠀⠀$\red\bigstar \: B = 5k$

⠀⠀⠀⠀⠀⠀$\red\bigstar \: C = 3.5k$

⠀⠀⠀⠀⠀⠀$\red\bigstar \: D = \frac{8.5k}{3}$

The share of A is 999 INR,

$9k = 999$

$➞ \: k = \frac{999}{9}$

$➞ \: k = 111$

Now put the values,

⠀⠀$A = 9k$

$➞ \: A = 9 \times 111$

$➞ \: A = 999$

⠀

⠀⠀$B = 5k$

$➞ \: B = 5 \times 111$

$➞ \: B = 555$

⠀

⠀⠀$C = 3.5k$

$➞ \: C = 3.5 \times 111$

$➞ \: C = 388.5$

⠀

⠀⠀$D = \frac{8.5k}{3}$

$➞ \: D = \frac{8.5k}{3} \times 111$

$➞ \: D = 314.5$

⠀

The value of x,

$x = 999 + 555 + 388.5 + 314.5$

$x = \small\boxed{{\sf\red{ \: 2257 \: }}}$

⠀

$\huge\boxed{{\sf\red{Hence, \: the \: value \: of \: x \: is \: 2257.}}}$

Hope it Helps Buddy ♥️

$\huge\bf{{\orange{★}}{\blue{★}}{\purple{★}}{\green{★}}{\pink{★}}{\color{red}{★}}{\color{gold}{★}}{\color{blue}{★}}{\color{gray}{★}}{\color{green}{★}}}$