Question

a man builds 1/8th of the wall everyday out of the length of the wall built everyday 20% of the wall falls at the end of the day till the wall is completely built in how many days can we complete the construction of the wall

Answer 1

I 3/5 days is the answer to this qn

Answer 2

Explanation:

part built on every day = $\frac{1}{8}$

20% of $\frac{1}{8}$ falls at the end of the each day

thus ,

part built on each day = 80% of $\frac{1}{8}$ = $\frac{1}{10}$ parts

at the end of the 9th day $\frac{9}{10}$ part of the wall is built

then

time taken to complete the remaining one part is

$\frac{\frac{1}{10} }{\frac{1}{8} } \\\\\frac{1}{10} \times \frac{8}{1}\\\\=\frac{4}{5}$

therefore , the construction of the wall  will be completed in $\frac{4}{5}$ days

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