Question

raman a painter always donated one fifth of his income to an orphanage once he got a contract of painting a house having three rooms of dimensions 10m×12m×3.5m,:8m×6m×3.5m and 7m×5m×3.5m. he charged ruppees 30 per m^2 for his work.how much money did raman earn?find amount of money he gave to the orphanage?

Answer 1

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Answer 2

Answer:

Earned Money = Rs 16,170, Amount given = Rs 3234

Step-by-step explanation:

Let Three rooms be R1, R2 and R3

$\textbf{\underline{\underline{Area\:Of\:R1}}}$

$\sf \: Dimension = (10 \times 12 \times 3.5)m$

$\sf Area \: of \: Ceiling = 10 \times 12 = 120 {m}^{2}$

$\sf \: Area \: of \: 4 \: walls = 2(1 0+ 12) \times 3.5$

$\sf \: Area \: of \: 4 \: walls = 154 {m}^{2}$

$\sf \: Total \: Area =( 154 + 120)m = 274 {m}^{2}$

$\textbf{\underline{\underline{Area\:Of\:R2}}}$

$\sf \: Dimension = (8 \times 6 \times 3.5) m$

$\sf \: Area \:of \: Ceiling = 8 \times 6 = 48 {m}^{2}$

$\sf \: Area \: of \: 4 \: walls = 2(8 + 6) \times 3.5$

$\sf \: Area \: of \: 4 \: walls = 98 {m}^{2}$

$\sf \: Total \: Area =( 98 + 48)m = 146{m}^{2}$

$\textbf{\underline{\underline{Area\:Of\:R3}}}$

$\sf\:Dimension\: (7 \: \times \: 5 \: \times \: 3.5)m$

$\sf\:Area\:Of\:Ceiling = 7 \: \times \: 5 \: = \: 35 \: m^2$

$\sf\:Area\:Of\:4\:Walls \: = \: 2(7 \: + \: 5) \: \times \: 3.5$

$\sf\:Area\:Of\:4\:Walls = \: 84 \: m^2$

$\sf\:Total\:Area \: = \: (35 \: + \: 84) \: m^2 \: = \: 119 \: m^2$

$\textbf{\underline{\underline{Total\:Area\:To\:Be\:Painted \::}}}$

$\sf\:(274 \: + \: 164 \: + \: 119) \: m^2 \: = \: 539 \: m^2$

$\bold{\underline{\underline{Charge\:at\:rate\:of\:Rs.\:30\:per\:m^2}}}$

$\sf\:539 \: \times \: 30 \: = \: Rs\:16170$

$\textbf{\underline{\underline{Money\:Given\:To\:Orphange : }}}$

$\sf\dfrac{1}{5}\times 16170$

$\sf\: Rs\:3234$