A business man mixed high quality sugar costing 10 shillings with low quality sugar costing 8 shillings per kg in the ratio 3:5 by which he sold the mixture at 9.80 shillings per kg . What was his percentage profit?

His percentage profit is 12%

Step-by-step explanation:

Here, we want to calculate the percentage profit made by the business man.

Per kg of what he is selling, he has 3 parts high quality sugar and 5 parts low quality sugar.

Now let’s see how much these costs

For the high quality sugar, it’s total kg mixed per kg will be 3/(3+5) = 3/8

Since high quality sugar costs 10 shillings per kg, 3/8 of a kg will cost 3/8 * 10 = 30/8 = 3.75 shillings

For the low quality, its part will be 5/(3 + 5) = 5/8

since low quality costs 8 shillings per kg, 5/8 of a kg will cost 5/8 * 8 = 5 shillings

Total cost price = 3.75 + 5 = 8.75 shillings

% profit = (selling price - cost price)/cost price * 100%

selling price here is 9.8 shillings per kg

while cost price is 8.75 shillings per kg

% profit = (9.8-8.75)/8.75 * 100%

= 1.05/8.75 * 100% = 0.12 * 100% = 12%

2. angles qrt and qst both measures 156 degrees.

step-by-step explanation:  

we have been given a diagram of a circle and we are told that measure of arc qvt is 156 degrees.  

we can see from our given diagram that angle qrt and angle qst subtends to arc qvt.

since we know that angles subtended by the same arc at the circumference are always equal.

by angle subtended by same arc theorem, measure of angle qrt and angle qst will be equal to the measure of arc qvt.

therefore, angles qrt and qst both measures 156 degrees and 2nd statement is the correct choice.