Question

Share ₹ 176 in the ratio 1:2:5:3 among four children.

Answer 1

$\large \bf \blue {\underline {Solution :-}}$

$• \: \sf{The \: Given \: Rati o \: is = 1:2:5:3 }$

$• \: \sf{Four \: children \: will \: get \: ₹ \: 176. }$

$\sf{Let \: the \: constant \: be \: x.}$

$\sf{Everyone \: will \: get \: respectively \: ₹ \: 1x \: ,₹ \: 2x \: ,₹ \: 5x \: and \: ₹ \: 3x.}$

$\sf{According \: to \: the \: question, }$

$\sf 1x + 2x + 5x + 3x = 176$

$\sf⇒11x = 176$

$\sf⇒x = \frac{176}{11}$

$\sf⇒x = 16$

$\sf \red{ \therefore1st \: child \: will \: get = ₹(1 \times 16) =₹ \: 16 }$

$\sf \red{ \therefore2nd \: child \: will \: get \: = ₹(2 \times 16) = ₹ \: 32 }$

$\sf \red{ \therefore3rd \: child \: will \: get = ₹(5 \times 16) = ₹ \: 80}$

$\sf \red{ \therefore4th \: child \: will \: get =₹ (3 \times 16) =₹ \: 48 }$