Question

Three friends started a business of renting out air conditioners by investing Rs. 20000, Rs. 24000 and Rs. 16000, respectively. C gets 20% of total profit for repair and maintenance of the air conditioner. If in a particular year, C gets Rs. 487.50 less than the total earnings of the other two, then the total profit for the year is?

Answer 1

Given :-

• Investment of A = Rs.20000
• Investment of B = Rs.24000
• Investment of C = Rs.16000
• C Gets 20% of Total Profit for repair and maintenance of the air conditioner.
• C gets Rs. 487.50 less than the total earnings of the other two ..

Solution :-

We know That, Profit is Distributed Among Partners in The ratio of Their (Income * Time).

So,

→ Profit Ratio of A : B : C = (20000*1) : (24000*1) : (16000*1)

→ Profit Ratio of A : B : C = 20 : 24 : 16

→ Profit Ratio of A : B : C = 5 : 6 : 4

____________________

Now, We Have Given That, C Gets 20% of Total Profit for repair and maintenance of the air conditioner.

That Means, Rest 80% is Distributed Among Them in Ratio 5 : 6 : 4.

So,

→ In This 80% C gets = 80 * (4/15) = (64/3)% .

So,

→ (A + B) Both Gets = 80 % - (64/3)% = (176/3)%

So,

→ C Total Profit = (64/3)% + 20% (For Reparing)

→ C Total Profit = (64 + 60)/3 = (124/3) %

______________________________

Now, we Have Given That, C gets Rs. 487.50 less than the total earnings of the other two ..

And, we Have,

→ C get % pRofit Less than (A + B) = (176/3) - (124/3) = (52/3)%

So, we Can say That :-

→ (52/3)% ------------------- Rs.487.50

→ 100% (Total) ------------- (487.50 * 100) / (52/3) = (48750 * 3) /52 = Rs.2925 .

Hence, The Total Profit for the year is Rs.2925.

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Answer 2

Solution :-

As Profit is Distributed Among Partners in The ratio of Their (Income * Time).

So,

→ Profit Ratio of A : B : C = (20000*1) : (24000*1) : (16000*1)

→ Profit Ratio of A : B : C = 20 : 24 : 16

→ Profit Ratio of A : B : C = 5 : 6 : 4

____________________

Now, We Have Given That, C Gets 20% of Total Profit for repair and maintenance of the air conditioner.

That Means, Rest 80% is Distributed Among Them in Ratio 5 : 6 : 4.

So,

→ In This 80% C gets = 80 * (4/15) = (64/3)% .

So,

→ (A + B) Both Gets = 80 % - (64/3)% = (176/3)%

So,

→ C Total Profit = (64/3)% + 20% (For Reparing)

→ C Total Profit = (64 + 60)/3 = (124/3) %

______________________________

Now, we Have Given That, C gets Rs. 487.50 less than the total earnings of the other two ..

And, we Have,

→ C get % pRofit Less than (A + B) = (176/3) - (124/3) = (52/3)%

So, we Can say That :-

→ (52/3)% ------------------- Rs.487.50

→ 100% (Total) ------------- (487.50 * 100) / (52/3) = (48750 * 3) /52 = Rs.2925 .

Hence, The Total Profit for the year is Rs.2925.

_____________________________