Answer:
[tex]\boxed{\textsf{ The amount shared by Nandi is \textbf{ Rs 500. }.}}[/tex]
[tex]\boxed{\textsf{ The amount shared by Thabo is \textbf{ Rs 1,000. }.}}[/tex]
Step-by-step explanation:
Given that Nandini and Thabo share Rs 1500 in the ratio 1:2 . And we need to find how much each gets . So lets take the given ratio be 1x :2x . Now here we can find the share of both as ,
[tex]\qquad\boxed{\boxed{\sf Share =\dfrac{ Ratio \ number }{Sum \ of\ ratio\ nos. }\times Amount }}[/tex]
Hence here the sum of ratio numbers would be 1+2 = 3 . Here the ratio number of Nandi is 1 and that of Thaboo is 2 . So ,
Share of Nandi :-
[tex]\sf\implies Share =\dfrac{ Ratio \ number }{Sum\ of\ ratio\ nos. }\times Amount \\\\\sf\implies Share_{(Nandi)}= \dfrac{1}{1+2}\times Rs\ 1,500 \\\\\sf\implies Share_{(Nandi)}= \dfrac{1}{3}\times Rs\ 1,500 \\\\\sf\implies \boxed{\pink{\frak{ Share_{(Nandi)}= Rs\ 500 }}}[/tex]
[tex]\rule{200}2[/tex]
Share of Thabo :-
[tex]\sf\implies Share =\dfrac{ Ratio \ number }{Sum\ of\ ratio\ nos. }\times Amount \\\\\sf\implies Share_{(Thabo)}= \dfrac{2}{1+2}\times Rs\ 1,500 \\\\\sf\implies Share_{(Thabo)}= \dfrac{2}{3}\times Rs\ 1,500 \\\\\sf\implies \boxed{\pink{\frak{ Share_{(Thabo)}= Rs\ 1,000 }}}[/tex]
