Question

the cost of carpeting a floor with area 120 m square is Rs 3840 what is the cost of carpeting the floor if its area is increased by 10 m square ​

Answer 1

Given :-

• the cost of carpeting a floor with area 120 m² is Rs 3840
• And then its area is increased by 10 m²

To Find :-

• what is the cost of carpeting the floor if its area is increased by 10 m²

Answer :-

• ₹ 4160

Using Formula :-

• cross multiplication method

Explanation :-

$\small \bf the \: \: \: cost \: \: of \: \: carpeting \: \: a \: \: floor \: \: with \: \: \: \\ \\ \small \bf area \: \: 120 \: m² \: \: is \: \: ➝ \: Rs. \: \:₹ 3840 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \small \bf if \: \: its \: \: area \: \: is \: \: increased \: \: by \: \: 10 \: m² \: \: so, \\ \\ \small \bf 120 m² + 10 m² = 130 \: m² \: \: is \: \: ➝ \: ( ?) \: \: \: \: \: \: \: \: \: \: \: \: \:$

$\small \bf area \: \: 120 \: m² \: \: is \: \: ➝ \: Rs. \: \:₹ 3840 \\ \\ \small \bf increased \: \: area \: \: 130 \: m² \: \: is \: \: ➝ \: ( ?) \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \small \bf = \frac{130 \times 3840}{120} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \small \bf = \frac{130 \times { \cancel{3840}}^{32} }{ \cancel{120} } \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \small \bf = 130 \times 32 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \small \bf = \fbox \red{₹ \: 4160} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:$

I hope it helps you ❤️✔️