Latest TCS Aptitude Question SOLUTION: 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

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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?

Asked In TCS sarath babu (11 years ago)

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moumita  (11 years ago)

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.

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Aanantha Yazhisai  (11 years ago)

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

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Aanantha Yazhisai  (11 years ago)

ans : 0.1

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SHANU MAHAJAN  (11 years ago)

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

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sarath babu  (11 years ago)

miss yazhisai of sri sai ram engineering college.. the answer s 1.2. but dunnno how to make t

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Aanantha Yazhisai  (11 years ago)

@sarath babu the answer is wrong in tat !! chck out with 1.2 conditions will not be satisfied

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sarath babu  (11 years ago)

@ aanantha yazhisai//// thanks for the answer...( gethu thana ..TCS placed pola.... i heard u scored 23/30 in tat mock test...mass pannuringa :) )

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Aanantha Yazhisai  (11 years ago)

i ve nt attended 14 questions in it !! yu gt wrng info !! ALL HE BEST

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