A and B invest in a business in the ratio 3 : 2. If 20% of the total p

1.	A and B invest in a business in the ratio 3 : 2. If 20% of the total profit goes to charity and the total profit is 2500, find the profit of B:8001000850900
Answer» $\sf{\underline{\boxed{\large{\blue{\mathsf{Correct\: Question}}}}}}$ A and B invest in a business in the ratio 3 : 2. If 20% of the total profit goes to CHARITY and the total profit is 2500, find the profit of B: _______________________ $\sf{\underline{\boxed{\large{\blue{\mathsf{Solution}}}}}}$ $\sf{\bold{\green{\underline{\underline{Given}}}}}$ A and B investment = 3 : 2 profit goes to charity = 20% Total profit = Rs. 2500 _______________________ $\sf{\bold{\green{\underline{\underline{To\:Find}}}}}$ Profit of B = ???? ______________________ $\sf{\bold{\green{\underline{\underline{Solution}}}}}$ $\sf\leadsto Total \: Profit \implies Rs2500$ profit goes to charity $\sf\longrightarrow$ 20% of profit $\sf\longrightarrow$ 20% of 2500 $\sf\longrightarrow \dfrac{20}{100}\times 2500$ $\sf\longrightarrow \dfrac{20}{\cancel{100}}\times \cancel{2500}$ $\sf\longrightarrow 20\times 25$ $\sf\longrightarrow Rs. 500$ _____________________ $\sf\leadsto$ profit left $\sf\longrightarrow$ Total profit - profit given in charity $\sf\longrightarrow$ Rs. 2500 - Rs. 500 $\sf\longrightarrow$ Rs. 2000 _____________________ $\sf\leadsto$ profit of B $\sf\longrightarrow$ let A and B profit be 3x and 2x $\sf\longrightarrow$ 3x + 2x = Rs. 2000 $\sf\longrightarrow$ 5x = Rs. 2000 $\sf\longrightarrow$ $x = \dfrac{2000}{5}$ $\sf\longrightarrow$ x = Rs. 400 profit of B = 2x = 2 x 400 = Rs.800 ______________________ $\sf{\bold{\green{\underline{\underline{Answer}}}}}$ profit of B = Rs. 800 therefore option A is correct