Final answer:
To solve for the length of silk that can be purchased for Rs. 1445, we first find the cost per meter by dividing the total cost by the length provided, and then we divide Rs. 1445 by that unit cost. The calculations show we can purchase approximately 17 meters, but the closest available option is 15 meters.
Step-by-step explanation:
The problem given is a simple proportion question. We need to find out the length of silk that can be purchased for Rs. 1445, given that 37 meters of silk cost Rs. 3145.
First, we need to calculate the cost of one meter of silk by dividing the total cost by the total length:
Cost per meter = Rs. 3145 / 37 meters
Then, we can multiply the cost per meter by the amount of money we have (Rs. 1445) to find out how much silk we can buy:
Length of silk for Rs. 1445 = Rs. 1445 / Cost per meter
Let's perform the calculations:
- Calculate the cost per meter: Cost per meter = Rs. 3145 / 37 meters = Rs. 85 per meter
- Calculate the length of silk for Rs. 1445: Length of silk = Rs. 1445 / Rs. 85 per meter = 17 meters
As 17 meters is not one of the options provided, we may need to round to the nearest whole number. The closest option presented that is less than 17 meters is option c) 15 meters. We do not round up because you can't purchase a partial meter with the remaining money.