Question

Two partners invested Rs 1,250 and Rs 850 respectively in a business. Both the partners distribute
60% of the profit equally and distribute the rest 40 % as the interest on their capitals. If one partner
received Rs 30 more than the other. Find the total profit.​

Answer 1

Answer:

Answer:

Let the total profit be Rs.x

60% of the profit = \inline \frac{60}{100}\times x=Rs.\frac{3x}{5}

from this part of the profit each gets = Rs.\inline \frac{3x}{10}

40% of the profit = \inline \frac{40}{100}\times x=Rs.\frac{2x}{5}

Now, this amount of Rs.\inline \frac{2x}{5} has been divided in the ratio of capitals 1250 : 850 = 25 :17

\inline \therefore Share on first capital = \inline (\frac{2x}{5}\times \frac{25}{42})=Rs.\frac{5x}{21}

Share on second capital = \inline (\frac{2x}{5}\times \frac{17}{42})=Rs.\frac{17x}{105}

Total money received by 1st investor = \inline [\frac{3x}{10}+\frac{5x}{21}]= Rs.\frac{113x}{210}

Total money received by 2nd investor = \inline [\frac{113x}{210}+\frac{97x}{210}]=Rs.\frac{97x}{210}

\inline \therefore x = 393.75

Hence total profit = Rs. 393.75

Step-by-step explanation:

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