Two persons P and Q entered into a partnership with capitals of Rs. 4 lakhs and Rs6 lakhs respectively. After 4 months they invested another 40,000 each. Thenthe difference of their shares . in Rupees. in the annual profit of Rs 1,12,180 is

Total amount invested by $$P=400000\times 4+440000\times 8=5120000$$Rs.

Total amount invested by $$Q=600000\times 4+640000\times 8=7520000$$Rs.

Hence the ratio in the investment $$= \dfrac{5120000}{7520000}=\dfrac{512}{752}=\dfrac{32}{47}$$

Hence, the share of P in the investment $$=\dfrac{32\times 112180}{79}=45440$$Rs.

The share of Q $$=\dfrac{47\times 112180}{79}=66740$$Rs.

Hence the required difference $$=66740-45440=21300Rs.$$