Badal, Advani and navjot are partners in 3/10:9/20and 1/4 sonia was ad

1.	Badal, Advani and navjot are partners in 3/10:9/20and 1/4 sonia was admitted for 1/5 shares. calculate new ratio of partners.
Answer» Answer: EXPLANATION: ★ Old Ratio : BADAL : Advani : Navjot = $= \: \dfrac{3}{10} : \: \dfrac{9}{20} : \dfrac{1}{4}$ Make the denominator same $= \: \dfrac{6}{20} : \dfrac{9}{20} : \dfrac{5}{20}$ Badal's Share = $\dfrac{6}{20}$ Advani's Share = $\dfrac{9}{20}$ Navjot's Share = $\dfrac{5}{20}$ ★ Sonia was admitted for 1/5 share of PROFIT Let, The total share of the business = 1 Remaining Share (old partners) = Total Share – Sonia’s Share Sonia's Share = $\dfrac{1}{5}$ • Remaining Share= $1 \: - \: \dfrac{1}{5} \: = \: \dfrac{4}{5}$ ★ New Profit Sharing Ratio : • Badal's New Share = $\longrightarrow \: \dfrac{4}{5} \: \times \: \dfrac{6}{20} \: = \: \dfrac{<klux>24</klux>}{100}$ Badal's New Share = $\dfrac{24}{100}$ • Advani's New Share = $\longrightarrow \: \dfrac{4}{5} \: \times \: \dfrac{9}{20} \: = \: \dfrac{<klux>36</klux>}{100}$ Advani's New Share = $\dfrac{36}{100}$ • Navjot's New Share = $\longrightarrow \: \dfrac{4}{5} \: \times \: \dfrac{5}{20} \: = \: \dfrac{20}{100}$ Navjot's New Share = $\dfrac{20}{100}$ • Sonia's Share = $\longrightarrow \: \dfrac{1}{5} \: = \: \dfrac{20}{100}$ Sonia's Share = $\dfrac{20}{100}$ New Profit Sharing Ratio : Badal : Advani : Navjot : Sonia $\longrightarrow \: \dfrac{24}{100} : \dfrac{36}{100} : \dfrac{20}{100} : \dfrac{20}{100}$ $\longrightarrow$ 24 : 36 : 20 : 20 = 6 : 9 : 5 : 5 Therefore, New Ratio of Badal, Advani, Navjot and Sonia = 6 : 9 : 5 : 5.