Question

Chanduseth gave 50% of his property to his wife 20% to his son and the reaming was equally divided among 5 daughters. Each daughter got 1500 rs what was the total property of chanduseth

Answer 1

Answer:

⋆ DIAGRAM :

$\boxed{\setlength{\unitlength}{.8mm}\begin{picture}(90,55)\thicklines\put(45,40){\vector(4,-3){25}}\put(35,40){\vector(-4,-3){25}}\put(40,40){\vector(0,-2){30}}\put(15,50){\underline{\bigstar \textsf{\textbf{Chanduseth's Property (n)}}}}\put(3,15){\sf\textcircled{\scriptsize1} Wife = 50\%}\put(30,5){\sf\textcircled{\scriptsize2} Son = 20\%}\put(50,15){\sf\textcircled{\scriptsize3} Daughters = 30\%}\put(35,41.5){\sf 100\%}\end{picture}}$

Let Total Property of Chanduseth be n.

⠀

Given : 50% of his property is given to his wife. 20% property to his son. Reaming was equally divided among 5 daughters and Each daughter got Rs. 1500

⠀

To Find : Total Property of Chanduseth.

⠀

☢ Property Given to Daughters :

⇒ 100% – Wife's Share – Son's Share

⇒ 100% – 50% – 20%

⇒ 100% – 70%

⇒ 30%

$\rule{90}{0.8}$

☯ $\underline{\boldsymbol{According\:to\:the\:Question\:now :}}$

$:\implies\sf Total \times 30\% = Daughters'\:Share\\\\\\:\implies\sf n \times 30\% = 5 \times Rs.\:1500$

• As 30% is total share of 5 Daughters, that's why we will take 5 times of 1 Daughter Share

$:\implies\sf n \times \dfrac{30}{100} = 5 \times Rs.\:1500\\\\\\:\implies\sf n = 5 \times Rs.\:1500 \times \dfrac{100}{30}\\\\\\:\implies\sf n = 5 \times Rs.\:50 \times 100\\\\\\:\implies\underline{\boxed{\textsf{n = Rs.\:25,000}}}$

⠀

$\therefore\:\underline{\textsf{Total property of chanduseth was \textbf{Rs. 25,000}}}$