Question

Two partners investede rs. 1250 and rs. 850 respectively in a business. they distributed 60% of the profit equally and decide to distribute the remaining 40% as the ratio of their capitals. if one partner received rs. 30 more than the other, find the total profit?

Answer 1

A's 40% profit / B's 40 % profit = 1250/850 = 25/17
Using Component & Dividend
40% profit of A and B / 30 = 42/8
So total profit = 42/8 *30*(100/40)= Rs. 393.75.

Answer 2

Total profit is Rs. 393.75.

• Two partners invested Rs. 1250 and Rs. 850 respectively in a business.

• Ratio in which the two partners invested money is 25:17.
• Now the 60% of profit is distributed equally and 40% of the profit is distributed as the ratio of their investments.
• Let the total profit be x. Now 60% of the profit will be 0.6x.
• Now 40% of the profit is shared according to to their investments.
• One partner received Rs. 30 more than the other.

Ratio will be

$\frac{A's profit}{B's profit}$ = $\frac{25}{17}$

Using componendo-dividendo,

$\frac{A's profit +B's profit }{A's profit - B's profit}$ = $\frac{25+17}{25-17}$

$\frac{0.4x }{30}$ = $\frac{42}{8}$

x = Rs. 393.75