What single discount is equivalent to the two discounts given?

Question

The prices of all home appliances sold at Benson's Marketing have already been reduced by 15%. During an anniversary sale, an additional discount of 10% is given. Show solution. Another question. An account executive receives a commission of 18% for every deal closed. If the account executive wishes to earn a commission of $225,00, approximately, how much must the deal be? Show solution

Answer 1

Answer 1) The equivalent discount is 15 +10 - 15*10/100 = 25-1.5 = 23.5

Remember, Total Discount = x+y - xy/100

where x is first discount and y is second discount.

Answer 2) Let he earns x dollars

then 0.18x =22500

=> x = 22500/0.18 = 125000

so total amount for all the deals that he has to make is 125000