(a) What will be the cost of 40 metres of the same type of cloth? |
(b) What will be the length of the cloth bought for Rs. 810? |
Answer:
(a) Let cost of cloth be Rs. x.
Here, cost will be increase by increasing the length of cloth. Hence, it is directly proportional. \[\frac{25}{337.5}=\frac{40}{x}\] \[x=\frac{337.5\times 40}{25}=\,Rs.\,540\] (b) Let the length of cloth be y m. Length of cloth (m) 25 40 Cost of cloth (Rs.) Rs.337.50 x
Here, as the length will increase by increasing the amount so, it is directly proportional. \[\frac{25}{337.5}=\frac{y}{810}\] \[\Rightarrow \,\] \[y=\frac{25\times 810}{337.5}\] \[\Rightarrow \,\] y = 60 metres. Length of cloth (m) 25 Y Cost of cloth (Rs.) Rs.337.50 810
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