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Fox jeans regularly sell for $15 a pair and Pony jeans regularly sell for $18 a pair. The rates of sales of both the types of jeans remain in a uniform relation over the period of time. 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?
Read Solution (Total 8)
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- Let us assume the discount rate of Fox jeans is F and Pony jeans is P. We have to find out the value of P.
Now given that F + P = 22 (Given that the sum of the discount rates is 22). This is one equation. We need one more equation to solve for P.
Now we are given that 3 pairs of Fox jeans and 2 pairs of Pony jeans if purchased at discount price will save $9. So sum of the individual discounts of Fox jeans and Pony jeans will add to $9.
For 3 pairs of Fox jeans the discount = 3 x $15 x F/100 (F percent is actually F/100).
For 2 pairs of Pony jeans the discount = 2 x $18 x P/100
So 45F/100 + 36P/100 = 9. If it is simplified, the equation becomes
45F + 36P = 900 which again simplifies to
5F + 4P = 100
Now we have 2 equations F + P = 22 and 5F + 4P = 100
Solving this we get P = 10. - 12 years agoHelpfull: Yes(27) No(0)
- let the discount rate of fox be x% n discount rate for pony is y%
x%+y%=22%(given)
(i.e) x+y=22
(45x+36y)/100=9
solving, y=10 % (i.e)=0.1
x=12 % (i.e)=0.12
checking:45*0.12+36*0.1=9
As takin "0.12" for pony(as yu told it will be the answer)
y=0.12 that makes x=0.1
45*0.1+36*0.12=8.82 (not satisfied) it must be 9
- 12 years agoHelpfull: Yes(4) No(2)
- ans : 0.1
- 12 years agoHelpfull: Yes(3) No(0)
- x+y=22 ------------eq1
before discount-after discount=9 -------------eq2
before discount= 45+36=81
after discount:
fox jeans= (15((100-x)/100))*3
pony jeans (18((100-y)/100))*2
after putting them in eq 2
and solving both equations we get y=1.1111 - 12 years agoHelpfull: Yes(1) No(1)
- miss yazhisai of sri sai ram engineering college.. the answer s 1.2. but dunnno how to make t
- 12 years agoHelpfull: Yes(0) No(0)
- @sarath babu the answer is wrong in tat !! chck out with 1.2 conditions will not be satisfied
- 12 years agoHelpfull: Yes(0) No(0)
- @ aanantha yazhisai//// thanks for the answer...( gethu thana ..TCS placed pola.... i heard u scored 23/30 in tat mock test...mass pannuringa :) )
- 12 years agoHelpfull: Yes(0) No(1)
- i ve nt attended 14 questions in it !! yu gt wrng info !! ALL HE BEST
- 12 years agoHelpfull: Yes(0) No(1)
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