AI Mentor

Check Your IQ

Free Expert Demo

Try Test

Courses

Dropper NEET Course Dropper JEE Course Class - 12 NEET Course Class - 12 JEE Course Class - 11 NEET Course Class - 11 JEE Course Class - 10 Foundation NEET Course Class - 10 Foundation JEE Course Class - 10 CBSE Course Class - 9 Foundation NEET Course Class - 9 Foundation JEE Course Class -9 CBSE Course Class - 8 CBSE Course Class - 7 CBSE Course Class - 6 CBSE Course

Offline Centres

How many $kg$ of sugar costing $Rs . 5.75$ per $kg$ should be mixed with $75 kg$ of cheaper sugar costing $Rs . 4.50$ per $kg$ so that the mixture is worth $Rs . 5.50$ per $kg$ ?

see full answer

Your Exam Success, Personally Taken Care Of

1:1 expert mentors customize learning to your strength and weaknesses – so you score higher in school , IIT JEE and NEET entrance exams.

An Intiative by Sri Chaitanya

300 kg

325 kg

350 kg

250 kg

answer is B.

(Unlock A.I Detailed Solution for FREE)

Best Courses for You

JEE

NEET

Foundation JEE

Foundation NEET

CBSE

Detailed Solution

Given,
Cost of sugar = Rs.5.75 per kg.
Amount of cheaper sugar = 75kg.
Cost of cheaper sugar = 4.50 per kg.
Cost of the mix sugar = Rs.5.50 per kg.
Let say

x kg

sugar costing

Rs . 5.75

per

kg

is added.
Total cost

= Rs . (5.75 x + 75) \times 4.50

\Rightarrow

Total cost

= Rs . (5.75 x + 337.5)

\Rightarrow

Total sugar

= (x + 75) kg

Average cost of sugar mixture

= \frac{Total cost of sugar}{Total sugar}

\Rightarrow 5.5 = \frac{(5.75 x + 337.5)}{(x + 75)}

\Rightarrow 5.5 x + 412.5 = 5.75 x + 337.5

\Rightarrow 75 = 0.25 x

\Rightarrow x = \frac{75}{0.25}

\Rightarrow x = 300 kg

Thus, the amount of sugar mixed should be 300kg.
Therefore, the correct option is 2.

Watch 3-min video & get full concept clarity

courses

No courses found

Result Producing online coaching for JEE/NEET of south India

Largest All India Test Series for JEE/NEET

Best Online Course for IIT JEE

Best Online Course for NEET

Best Online Course for CBSE

Ready to Test Your Skills?

Check your Performance Today with our Free Mock Test used by Toppers!

Take Free Test

Get Expert Academic Guidance – Connect with a Counselor Today!