Latest Syntel Aptitude Question SOLUTION: A certain type of mixture is prepared by mixing brand A at Rs.9 a kg. with brand B at Rs.4 a kg. If the mixture is worth Rs.7 a kg., how many kgs. of brand A are needed to make 40k

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A certain type of mixture is prepared by mixing brand A at Rs.9 a kg. with brand B at Rs.4 a kg. If the mixture is worth Rs.7 a kg., how many kgs. of brand A are needed to make 40kgs. of the mixture?

Asked In Syntel (12 years ago)

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shivendra pratap singh  (10 years ago)

the ratio of brand A and B in the mixture i 3:2
so the quantity of brand A is =3*40/5=24
24 kg of brand A needed to make the 40 kg mixture

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Rskesh Kumar  (10 years ago)

A + B = 40.

And at Rs 7 a kg for 40 kg, you want a total of Rs.280.

So the second equation is 9A + 4B = 280

From the first equation: B = 40 - A
and sub into the second equation:

9A + 4(40-A) = 280
9A + 160 - 4A = 280
5A = 120
A = 24.

And you should check: B should equal 40-24 = 16. Check with the final equation: 9*24 + 4*16 = 216 + 64 = 280. So it works.

Your answer, of course, is A = 24.

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