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:

800
1000
850
900


​

Answer 1

$\sf{\underline{\boxed{\large{\blue{\mathsf{Correct\: Question}}}}}}$

• 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

Answer 2

$\sf{\bold{\orange{\underline{\underline{Answer}}}}}$

$\sf{\dag B's \:profit = Rs 800}$

• Therefore correct option = ( i )

$\sf{\bold{\orange{\underline{\underline{Step\:by\:step\:solution}}}}}$

• A's investment = 3x
• B's investment = 2x
• profit for charity= 20%
• Total profit = Rs. 2500
• B's profit = ???

______________________

Total Profit = Rs2500

profit for charity = 20% x 250

profit for charity = $\sf\dfrac{20}{100}\times 2500$

profit for charity = $\sf Rs. 500$

money left = Total profit - profit for charity

money left = Rs. 2500 - Rs. 500

money left = Rs. 2000

3x + 2x = Rs. 2000

5x = Rs. 2000

x = 400

B's investment = B's share in profit = 2x

B's share in profit = 2 x 400

B's share in profit = Rs.800