• Jul 3rd 2006, 04:34 AM
laser2302

Question 1:
On 2 May 2000, a man borrowed a sum of money from a bank at 6.5% p.a. simple interest and on 2 September 2000, the interest amounted to $137.50. Calculate the amount of money he borrowed. Question 2: A fish merchant bought a container of fish for$36,000. He sold 1/2 of the fish at a profit of 20% and 1/6 of it at a loss of 10%. At what price must he sell the remaining fish in order to make a profit of 15% on the whole?

Question 3:
(a) A garrision has enough food to last for 24 days. How much longer will the food last if each individual ration can be reduced by 20%?

(b) By how much will each individual ration have to be reduced if hte food is to last 40 days?

Question 4:
A scouts' camp has enough food for 36 days. How long will the food last if each scout's ration is reduced in the ration 4:5?

Thanks!
• Jul 3rd 2006, 05:21 AM
Quick
Quote:

Originally Posted by laser2302
A fish merchant bought a container of fish for $36,000. He sold 1/2 of the fish at a profit of 20% and 1/6 of it at a loss of 10%. At what price must he sell the remaining fish in order to make a profit of 15% on the whole? He has$36,000 worth of fish, he sells half $\displaystyle 36000\div2=13000$ at a 20% profit, $\displaystyle 13000\times0.2=3600$
He has $36,000 worth of fish, he sells a sixth$\displaystyle 36000\div6=6000$at a 10% loss,$\displaystyle 6000\times -0.1=-600=$So now we see how much profit he has so far$\displaystyle 3600-600=3000$So now we see how much profit he wants$\displaystyle 36000\times0.15=5400$So now we see how much more profit he needs to match his goal$\displaystyle 5400-3000=2400$Now we find out how much his remaining fish are worth$\displaystyle 36000\times\left(1-\frac{1}{2}-\frac{1}{6}\right)=36000\times\frac{1}{3}=12000$Now we divide the amount more he wants by the amount he has left$\displaystyle 2400\div12000=0.2\$