Ice cream commission PS

[ssang]

Hi can someone help to solve this? Thanks

A salesman sells two equally priced brands of ice cream, for which he receives a sales commission of 5 percent on one brand and 7 percent on the other. If the salesman sold a total of $10,000 in ice cream and collected $660 in commissions, what fractional part of the total ice cream sold did he sell at the lower commission rate?
7/8 4/5 1/2 1/5 1/8

Ans D

[IIMAOnly]

x be the amount sold on one brand
y be the amount sold on another brand

x+y = 10000
0.05x + 0.07y = 660

solving the two equations..

Multiplying first equation by 0.07 gives 0.07x + 0.07y = 700

equation (1) - equation (2) gives

0.02x = 40 and hence x = 40/0.02 = 4000/2 =2000

Fraction = 2000/10000 = 1/5

[aakfather]

nice !