Fox jeans regularly sell for $15 a pair and Pony jeans regularly sell for $18 a pair. During a sale these regular unit prices are discounted at different rates so that a total of $9 is saved by purchasing 5 pairs of jeans: 3 pairs of Fox jeans and 2 pairs of Pony jeans. If the sum of the two discounts rates is 22 percent, what is the discount rate on Pony jeans? (A) 9% (B) 10% (C) 11% (D) 12% (E) 15% what's the best method of solving this question?? answer given : B

Let the discount on Fox jeans be F% and the discount on Pony jeans be P% Original cost of 3 pairs of Fox jeans and 2 pairs of Pony jeans = 3*15 + 2*18 = $81 Discounted price of one pair of Fox jeans = 15 - (F/100)*15 Discounted price of one pair of Pony jeans = 18 - (P/100)*18 Discounted cost of 3 pairs of Fox jeans and 2 pairs of Pony jeans = 3*(15 - (F/100)*15) + 2*(18 - (P/100)*18) It is also given that (Original cost of 3 pairs of Fox jeans and 2 pairs of Pony jeans) - (Discounted cost of 3 pairs of Fox jeans and 2 pairs of Pony jeans) = $9 i.e. 3*15 + 2*18 - 3*15 + 3*(F/100)*15 + 2*18 + 2*(P/100)*18 = $9 45F + 36P = 900 5F + 4P = 100 - Equation 1 It is also given that F + P = 22 - Equation 2 5*(Equation 2) - Equation 1, gives 5F + 5P - 5F - 4P = 110 - 100 P = discount on Pony jeans = 10%

Following method may seem simple. With 3 qty of Fox and 2 Qty of Pony jeans, the Orig price is 3*15 + 2*18 = 45 + 36 = 81 Let the discounts on Fox & Pony jeans be x% and y% respectively. Discount is $9. Thus we can form an eqn as - 45x% + 36y% = $9 i.e. 45x/100 + 36y/100 = 9 i.e. 45x + 36y = 900 i.e. 5x + 4y = 100 ............. (1) Also, x + y = 22 (given in the question)..........(2) Solving (1) and (2), We get y=10 Thus, ans = Option B