Question

a total amount of rs1560 is to be divided among A, B and C such that A gets 50% of what B gets and B gets 20% of what C gets. How much will each of them get?​

Answer 1

$\textbf{\underline{\underline{According\:to\:the\:Question}}}$

Here we have :-

${\boxed{\sf\:{A\;= Rs 120\;,\;B = Rs 240\;and\;C = Rs 1200}}}$

Assumption :-

C gets amount be p

${\boxed{\sf\:{Situation :-}}}$

B = 20% of p

B = 0.2p

${\boxed{\sf\:{Situation :-}}}$

A = 50% of 0.2p

A = 0.5 × 0.2p

A = 0.1p

${\boxed{\sf\:{Total\;amount\;=\;1560}}}$

${\boxed{\sf\:{Hence:-}}}$

p + 0.2p + 0.1p = 1560

1.3p = 1560

p = Rs 1200

${\boxed{\sf\:{Hence\;Amount:-}}}$

A = 0.1p

= 0.1 × 1200

= Rs 120

B = 0.2p

= 0.2 × 1200

= Rs 240

C = p

= Rs 1200

$\Large{\boxed{\sf\:{A=120,B=240\;and\;C=1200}}}$