Question

3½m of cloth costs cost rupees 168, find the cost of 4 ⅓ m of same cloth ​

Answer 1

Answer:

₹208

Explanation:

Given :

3½m (7/2) of cloth costs cost rupees 168.

To Find :

Cost of 4⅓ (13/3) cloth = ?

Solution :

$\sf{}Cost\ of\ \dfrac{7}{2}m\ cloth=Rs168$

$\sf{}So,cost\ of\ 1m\ cloth=168\div\dfrac{7}{2}$

$\sf{}Therefore\ cost\ of\ \dfrac{13}{3}m\ cloth:-$

$\Rightarrow\sf{}\bigg(168\div\dfrac{7}{2}\bigg)\times\dfrac{13}{3}$

$\Rightarrow\sf{}\bigg(168\times\dfrac{2}{7}\bigg)\times\dfrac{13}{3}$

$\Rightarrow\sf{}48\times\dfrac{13}{3}$

$\Rightarrow\sf{}16\times13$

$\therefore \sf{}208$

Hence,cost of 4 ⅓ m cloth is ₹208

Answer 2

Given :-

• 3½ m cloth costs cost 168 Rs.

To FinD :-

• Cost of 4⅓ ( $\frac{13}{3}$) m cloth

Solution :-

Cost of 3½ m cloth = 168

we can write 3½ as $\frac{7}{2}$

So the cost of 7/2 m cloth = 168

The cost of 1 m cloth = 168 ÷ $\frac{7}{2}$

= 168 × $\frac{2}{7}$

= 24 × 2

= 48 Rs

So the cost of 4⅓ ( $\frac{13}{3}$ ) m cloth

$→ \frac{13}{3}\times48$

$→ 13\times 16$

$→ 208$

So, the cost of 4⅓ m cloth is 208 RS.