Question

If p:q= 3:4, q:r= 6:5 and r:s = 7:2, then on dividing Rs12324 among p,q,r and s, Find the amount of q.

Answer 1

p:q=3:4
q:r= 6:5
p:q:r= 18:24:20
=9:12:10
r;s =7:2
p:q:r:s =63:84:70:20
=237

q=12324×70/237

=52×70 =3640

Answer 2

Answer:

Rs.3640

Step-by-step explanation:

Given :p : q = 3 : 4, q : r = 6 : 5

To Find :Find the amount of q.

Solution:

$\frac{p}{q} = \frac{3}{4}, \frac{q}{r} = \frac{6}{5}$

$\frac{p}{q} = \frac{3}{4} \times \frac{6}{6}, \frac{q}{r} = \frac{6}{5}\times \frac{4}{4}$

 $\frac{p}{q} = \frac{18}{24}, \frac{q}{r} = \frac{24}{20}$

=> p : q : r = 18 : 24 : 20

=> p : q : r = 9 : 12 : 10

Now ,p : q : r = 9 : 12 : 10, r : s = 7 : 2

$p : q : r = (9 : 12 : 10) \times 7, r : s = (7 : 2) \times 10$

$p : q : r = 63 : 84 : 70, r : s = 70 : 20$

p : q : r : s = 63 : 84 : 70 : 20

$p + q + r + s = 63 + 84 + 70 + 20 = 237$

Total amount = 12324

Amount of q = $12324\times \frac{70}{237}=3640$

Hence the amount of q is Rs.3640