Question

while constructing a house, a man spent 2/5th of the total amount for getting building material, 3/8th on the labor, 1/6th of the remaining on the interiors and the rest on the furniture. If the man spent Rs. 1,14,000 on furniture, find the total money spent on the construction of the house.

Answer 1

Answer:

2/5 + 3/8 = 31/40

Now 9/40 of total amount is left

then

1/6 of 9/40 = 3/80

Now

money left 1 - (31/40 + 3/80) = 15/80

this 15/80 is equal to Rs 114000

therefore total money = 114000 * 80/15 = 608000

ans Rs 608000

Answer 2

Total money spent on the construction of the house is Rs.6,08,000.

Step-by-step explanation:

Given:

A man spent $\frac{2}{5} th$ of the total amount for getting building material.

$\frac{3}{8} th$on the labor.

$\frac{1}{6} th$ of the remaining on the interiors.

The rest on the furniture.

The man spent Rs. 1,14,000 on furniture,

To Find:

Total money spent on the construction of the house.

Solution:

Let the total money spent on the construction of the house is Rs.p.

As given, a man spent $\frac{2}{5} th$ of the total amount for getting building material.

The amount spent  for getting building material $=\frac{2}{5} \ of\ p=\frac{2p}{5}\ Rs.$

As given,  on the labor.

The amount spent on the labor $=\frac{3}{8} \ of\ p=\frac{3p}{8}\ Rs.$

Remaining amount $=p-\frac{2}{5}p -\frac{3}{8} =\frac{9}{40} p.$

As given, $\frac{1}{6} th$ of the remaining on the interiors.

The amount spent for $\frac{1}{6} th$ of the remaining on the interiors $=\frac{1}{6} \ of\ \frac{9}{40} =\frac{9}{40} \times\frac{1}{6} =\frac{3}{80} p.$

As given-the rest on the furniture.

he amount spent on the  furniture $=p-(\frac{2}{5} P+\frac{3}{8}P +\frac{3}{80}p)$

                                                         $=P-(\frac{32+30+3}{80}) P$

                                                         $=p-\frac{65}{80} p$

                                                         $=\frac{80-65}{80}p =\frac{15}{80} p$

As given,the man spent Rs. 1,14,000 on furniture,

Then,    $\frac{15}{80} p=114000$

             $p= \frac{114000\times80}{15}$

                $=Rs.6,08,000$

Thus,total money spent on the construction of the house Rs.6,08,000.

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