Question

if rupees 96,000 is divided among A,Band Com the ratio 5:4:3 ,then find how much is the share of each.​

Answer 1

$\sf \Large Solution!!$

$\sf \large Given:$

$\sf \to Total\:money\:to\:be\:divided=Rs.\:96,000$

$\sf \to Ratio=5:6:3$

$\sf \large Now,$

$\sf \to Let\:A's\:ratio\:be\:5x$

$\sf \to Let\:B's\:ratio\:be\:4x$

$\sf \to Let\:C's\:ratio\:be\:3x$

$\sf \large Now,$

$\sf \to 5x+4x+3x=96,000$

$\sf \to 12x=96,000$

$\sf \to x=\dfrac{\cancel{96,000}\:^{8,000}}{\cancel{12}}$

$\sf \to x=Rs.\:8,000$

$\sf \large Now,$

$\sf \to 5x=5\times 8,000=Rs.\:40,000$

$\sf \to 4x=4\times 8,000=Rs.\:32,000$

$\sf \to 3x=3\times 8,000=Rs.\:24,000$

$\sf \boxed{\bigstar A's\:share=Rs.\:40,000}$

$\sf \boxed{\bigstar B's\:share=Rs.\:32,000}$

$\sf \boxed{\bigstar C's\:share=Rs.\:24,000}$

$\sf \large Verification:$

$\sf \to 5x+4x+3x=96,000$

$\sf \to Rs.\:40,000+Rs.\:32,000+Rs.\:24,000=Rs.\:96,000$

$\sf \to Rs.\:96,000=Rs.\:96,000$

$\sf L.H.S=R.H.S$

$\sf Hence,\:verified.$