Question

the certain sum of money is divided between P and Q in the ratio 3 + 1 /2 :5+1/2 if it gets 320 rupees less than Q then find the Q's share​

Answer 1

Q's share is 880

Explanation:

Let Q's share be x

and, P's share be (x-320)

P:Q = 3 + 1/2 : 5 + 1/2

= 7/2 : 11/2

= (7/2 × 2) : (11/2 ×2)

= 7 : 11

$\frac{p}{q} \: = \: \frac{7}{11} \\ \\ \frac{(x \: - \: 320)}{x} \: = \: \frac{7}{11} \\ 11(x \: - \: 320) = 7x \\ 11x - 3520 = 7x \\ 11x - 7x = 3520 \\ 4x = 3520 \\ x = \frac{3520}{4} \\ x = 880$

Hence, Q's share is 880