Rs. 3500 has been divided between three persons, P, Q and R in such a way that if t heir shares are diminished by Rs. 30 and Rs. 40 and Rs. 50 respectively, the remainders are in the ratio 7 : 4 : 9. Find the share of Q.

Total amount = 3500 has been divided between three persons P, Q and R

But T heir shares are diminished by 30/-, 40/-, and 50/- respectively

i.e., 30 + 40 +50 = 120/-

then the remainders are in the ratio 7 : 4 : 9

$\Rightarrow 3500-120=3380$

$7x+4x+9x=20x\times 169=2\cancel{0}\times 169=338\cancel{0}$

Q shares $4\times 169=676$

Q share is 676/-