Percentage P6

If Larry sells his toy at a discount of 20%, he can still make a gain of $150. If he sells it at a 45% discount, he will lose $325. How much did Larry pay for his toy?

80%  -->  1 u  +  $150

55%  -->  1 u  -  $325

80%  -  55%  -->  150  -  (- 325)

25%  -->  150  +  325  =  $475

80%  -->  80/25  x  475  =   $1520

1520 -  150  =  $1370

It was $1370.

Ratio P6

Larry, May and Nora shared the cost of a meal. The ratio of the amount paid by Larry to the total amount paid by May and Nora is 2 : 3 while May’s share was 20% of the total amount paid by Larry and Nora. Given that Nora paid $84 more than May, how much did the meal cost?


L : M + N  =  2  :  3
                  =  12  :  18  [x 6 to get total of same total of 30]

M : L + N  =  20  :  100  
                  =  1  :  5
                  =  5  :  25   [x 5 to get same total of 30]

30 - 12 - 5 = 13

L : M : N = 12  :  5  :  13

13 - 5 = 8

8 u  -->  $84

30 u  -->  30/8  x  84  =  $315

It was $315.

Ratio P6

Ali, Bill and Cindy had a total of 450 apples. The ratio of the number of apples Bill had to the number of apples that Cindy had was 2 : 5. After Ali and Bill had given away ½ of their apples, the children had 300 apples left. How many apples did Bill have at first?

A [  ][  ]                  ]

B [][][][]                 ]  450

C [][][][][][][][][][]  ]

A [  ]                      ]

B [][]                      ]  300

C [][][][][][][][][][]  ]

300 x 2 = 600

10 u --> 600 - 450 = 150

4 u  -->  4/10  x 150  =  60 apples

Bill had  60 apples  at first.