SOLUTION: 2.Padma purchased 30 kg of rice at the rate of tk 17.50 per kg and 30 kg rice at a certain rate. He mixed the two and sold the entire quantity at the rate of tk 18.60 per kg and ma
Question 888266: 2.Padma purchased 30 kg of rice at the rate of tk 17.50 per kg and 30 kg rice at a certain rate. He mixed the two and sold the entire quantity at the rate of tk 18.60 per kg and made 20% overall profit. at what price per kg did he purchase the lot of another 30 kg rice??
3.The ratio of the number of boys and girls in a school is 3:2. If 20% of the boys and 25% of the girls are scholarship holders, what percentage of the students does not get the scholarship?
You can put this solution on YOUR website! 2.Padma purchased 30 kg of rice at the rate of tk 17.50 per kg and 30 kg rice at a certain rate.
He mixed the two and sold the entire quantity at the rate of tk 18.60 per kg and made 20% overall profit.
at what price per kg did he purchase the lot of another 30 kg rice??
:
Let x = price of the other rice
Find the cost of the first rice
30 * 17.50 = $525
then
total cost = 30x + 525
:
Find the revenue from selling 60 kg for 18.6
60 * 18.6 = $1116, given as 20% above cost
therefore
1.2(30x + 525) = 1116
36x + 630 = 1116
36x = 1116 - 630
x = 486/36
x = $13.50 is cost per kg for the other rice
:
Check this, find the cost for each
525 + 30(13.5) = $930
A 20% increase: 1.2 * 930 = 1116
:
;
3.The ratio of the number of boys and girls in a school is 3:2.
If 20% of the boys and 25% of the girls are scholarship holders,
what percentage of the students does not get the scholarship?
:
Let x = the multiplier
then
3x = no. of boys
2x = no. of girls
therefore
5x = total students
then
.20(3x) = .6x boys have scholarships
and
.25(2x) = .5x girls have scholarships
:
5x - .6x - .5x = 3.9x students did not have scholarships
:
Find the per cent that do not have scholarships * 100 = 78%
