Question

a businessman bought x bags of maize at a cost of shs.960 per bag. he spend she 15 per bag on transport. he later sold the maize39 per tine making a profit of shs.515 per bag. (a) calculate the number of tins in one bag. (b) if the business man made total of sha 29,640. how many bags had he sol? (c) the businessman later used the total sales to buy more maize at shs.926.25 per bag he sold half of the bags to the maize millers the rate of shs.1,390 per bag and retailed the remaining at his stall to consumers at shs.39 per tin. which option would earn more profit and by how much? (2mk) (d) express the difference as a percentage of the sales to the consumers.

Answer 1

a) To calculate the number of tins in one bag, we can use the information given in the problem: "he later sold the maize39 per tine"

So we can assume that one bag of maize is divided into tins and the price per tin is 39 shs.

b) To find out how many bags the businessman sold, we can use the information that he made a total of 29,640 shs in profit.

We know from the problem that the profit per bag is 515 shs, so to find out how many bags he sold we can divide the total profit by the profit per bag: 29,640 shs / 515 shs/bag = 57.5 bags

c) To find out how much profit the businessman made by selling half of the bags to the maize millers, we can use the information that he bought the bags at 926.25 shs and sold them at 1,390 shs.

We know that he sold half of the total number of bags, so we can divide the total number of bags by 2: 57.5 bags / 2 = 28.75 bags

To find out the total profit he made, we can multiply the number of bags sold by the profit per bag: 28.75 bags * (1,390 shs - 926.25 shs) = 22,447.5 shs

d) To express the difference as a percentage of the sales to the consumers, we can use the information that the businessman sold the bags to the maize millers at 1,390 shs and to the consumers at 39 shs.

To find the difference, we can subtract the price he sold the bags to the consumers from the price he sold the bags to the maize millers: 1,390 shs - 39 shs = 1351 shs

To find the percentage of the difference, we can divide the difference by the price he sold the bags to the consumers and multiply by 100: (1351 shs / 39 shs) * 100 = 34,641.03%