Question

a sum of xis divided between a,b,c, and d such thate the ratio of share of a and b is 9:5 c share is 70% of B' 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 c is
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Answer 1

$\blue{━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━}$

${\huge\fbox\pink{A}\fbox\blue{n}\fbox\pink{s}\fbox\green{w}\fbox\red{e}\fbox\orange{r}}$

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

$\blue{⇝}$ The Ratio of shares of A & B is 9:5.

$\blue{⇝}$ Share of C is 70% of B's share.

$\blue{⇝}$ The Ratio of the share of D to the combined share of B & C is 1:3.

$\blue{⇝}$ The share of A is INR 999.

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

$\blue{⇝}$ The value of x.

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

$\pink$ 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,

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

$➞ \: D = \frac{(5k + 3.5k)}{3}$

$➞ \: D = \frac{8.5k}{3}$

⠀

⠀⠀⠀⠀⠀⠀$\blue\bigstar \: A = 9k$

⠀⠀⠀⠀⠀⠀$\blue\bigstar \: B = 5k$

⠀⠀⠀⠀⠀⠀$\blue\bigstar \: C = 3.5k$

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

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,

$x = 999 + 555 + 388.5 + 314.5$

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

⠀

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

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