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CAT Exam Model Paper 2 with solutions for free online practice
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© examsnet.com
Question : 71
Total: 100
Dia and Urea are two chemical fertilizers. Dia consists of N, P and K and Urea consists of only N and P. A mixture of Dia and Urea is prepared in which the ratio of N, P and K is 26%, 68% and 6% respectively. The ratio of N, Pand K in Dia is 20%, 70% and 10% respectively. What is the ratio of N and P in the Urea?
27% and 63%
33% and 67%
35% and 65%
70% and 30%
Validate
Solution:
(c) Let the total quantity of mixture be ‘Z’ kg
Let the total quantity of Dia mixture be 600 kg.
This 6% of K is obtained only from Dia,
K
U
+
K
D
=
R
M
⇒
0
+
10
100
×
600
=
6
100
×
Z
⇒
60
×
100
6
=
Z
⇒ Z = 1000 kg
N
U
+
N
D
=
N
M
⇒
N
U
+
120
=
260
⇒
N
U
=
260
−
120
=
140
kg
and
P
U
+
P
D
=
P
M
⇒
P
U
+
420
=
680
⇒
P
U
=
680
−
420
=
260
kg
U, D, M → Urea, Dia and mixture
∴ Ratio of N : P = 7 : 13
⇒ 35: 65
© examsnet.com
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