Question

A sum of money a boy spends 1/3 and then 1/6 of remaining.He had Rs.25 the total amount was​

Answer 1

Answer:

Sum = ₹450

Step-by-step explanation:

Solution:

Let the sum be 100,

So, Boy spends 1/3rd of 100:

$\implies$ $\sf{{\Large\frac{1 }{ 3 }} × 100 }$

$\implies$ $\sf{{\Large\frac{100 }{ 3 }} }$

Next, he spends 1/6th of remaining:

$\implies$ $\sf{{\Large\frac{1 }{ 6 }}×{\Large\frac{ 100 }{ 3}} }$

$\therefore$ $\sf{{\Large\frac{ 50 }{ 9 }} }$

Using unitary method:

if the remaining is ₹50/9, then the sum is ₹100

if the remaining is ₹25, then the sum is ?

$\implies$ $\sf{ {\Large\frac{50 }{ 9 }}× Sum = 25 × 100}$

$\implies$ $\sf{sum ={\Large\frac{2500×9 }{ 50}} }$

$\therefore$ $\boxed{\sf{ Sum = ₹450 }}$

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