Sign in
Please select an account to continue using cracku.in
↓ →
Alpha and Beta are two chemical fertilizers. Alpha consists of N, P, K and Beta consists of N and P. A mixture of Alpha and Beta is prepared in which the ratio of N, P and K is 26%, 68% and 6%. The ratio of N, P, K in Alpha is 20%, 70% and 10%. What is the ratio of N and P in Beta?
Let's say amount of fertilizer alpha taken be $$a$$ units.
Amount of fertilizer beta taken be $$b$$ units.
Now, ratio of K in alpha = 10% and in final mixture, the ratio is 6%
So,$$\dfrac{10}{100}\times\ a+0=\dfrac{6}{100}\times\ \left(a+b\right)$$
or, $$0.1a=0.06a+0.06b$$
or, $$0.1a-0.06a=0.06b$$
or, $$0.04a=0.06b$$
or, $$\dfrac{a}{b}=\dfrac{6}{4}=\dfrac{3}{2}$$
So, let say $$a=3$$ and $$b=2$$
Let say percentage of P in Beta be $$p%$$
So, $$3\cdot\dfrac{70}{100}+2\cdot\dfrac{p}{100}=5\cdot\dfrac{68}{100}$$
or, $$210+2p=340$$
or, $$p=\dfrac{340-210}{2}=\dfrac{130}{2}=65\%$$
So, percentage of P in Beta = $$65\%$$
So, percentage of N in beta = $$\left(100-65\right)\%=35\%$$
So, correct answer is option C.
Click on the Email ☝️ to Watch the Video Solution
Create a FREE account and get:
Book Free CAT Mentorship
Get personalized CAT strategy from a 99%iler
500+ students mentored
OTP Verification
Enter the 6-digit code sent to your phone
Booking Summary
Enter OTP
Didn't receive the OTP?
Start your IIM journey with the right preparation and crack CAT 2026.
Educational materials for CAT preparation