3 partners together invested Rs. 114,000 in a business. At the end of 1 year, A got Rs. 337.50, B got Rs.1125 and C got Rs. 675 as profit. How much amount did each invest? What is the profit percent?
Answers
Answer:
5250
Step-by-step explanation:
Solution of the given problem is shown below,
Let a, b & c denote the investments of A, B & C respectively.
It is mentioned that, A, B & C altogether invested Rs 14000. So we get the following relation,
a + b + c = 14000 …… (1)
It is mentioned that, at the end of the year, A got Rs 337.50, B got Rs 1125 and C got Rs 637.50 as profits.
We know that profits are directly proportional to investments. So we get the following relations,
a/337.50 = b/1125 = c/637.50 = k (say) [where k is constant of proportionality]
Hence, a = 337.50*k ,,,,,, (2a) b = 1125*k ,,,,,, (2b) c = 637.50*k ,,,,,, (2c)
From (1), (2a), (2b) & (2c) we get,
337.50*k + 1125*k + 637.50*k = 14000
or 2100*k = 14000 or k = 140/21 = 20/3 …… (3)
Hence,
From (2a) & (3) we get, a = 337.50*k = 337.50*(20/3) = 2250
From (2b) & (3) we get, b = 1125*k = 1125*(20/3) = 7500
Therefore, the difference between the investments of B and A
= b - a = 7500 - 2250 = 5250 (Rs) [Ans
Answer:
altogether invested Rs. 14000 in business. At the end of the year, A got Rs. 337.50, B Rs. 1125 and C Rs. 637.50 as profit. The difference between the investments of B and A was ?
A. Rs. 2200
B. Rs. 3200
C. Rs. 4200
D. Rs. 5250
Answer: Option D
Solution(By Examveda Team)
Ratio of investments of A, B and C = Ratio of their profits
=337.50:1125:637.50=9:30:17∴A's investment=Rs.(14000×956)=Rs. 2250B's investment=Rs.(14000×3056)=Rs. 7500Hence, required difference=Rs.(7500−2250)=Rs. 5250