A, b and c started a business with a total investment of rs. 10,140. All of them invested for equal period of time. At the end of the year a, b and c received rs. 1944, rs. 2916 and rs. 3564 respectively as their share of profit. What was the sum of as and bs investment ?
Answers
Step-by-step explanation:
The respective ratio of investment of A and B was 7 : 9 and that of B and C was 18 : 11. All of them invested for equal period of time. If the total profit earned by them was Rs15,050
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Answer:
The sum of Investment of
A will be Rs. 2340
B's will be Rs. 3510
C's Will be Rs. 4290
Step-by-step explanation:
STEP 1:
First of all we have to make these ratio into the simplest form so that our calculation becomes easy.
A : B : C
= 1944 : 2916 : 3564
= 108 : 162 : 198
= 36 : 54 : 66
= 12 : 18 : 22
= 6 : 9 : 11 ( Simplest form of A : B : C ratios)
So 6:9:11 is the simplest form of 1944:2916:3564 .
STEP 2 :
FOR A'S INVESTMENT SUM:
total amount x ratio of each / total no. of shares
= 10,140 x 6 / 26
= 60,840 / 26
= 2340
STEP 3 :
FOR B'S INVESTMENT SUM:
total amount x ratio of each / total no. of shares
= 10,140 X 9 / 26
= 91260/ 26
= 3,510
STEP 4 :
FOR C'S INVESTMENT SUM:
total amount x ratio of each / total no. of shares
= 10140 X 11 / 26
= 111540 / 26
= 4290
hence, 2,340 ; 3,510 ; 4,290 will be the investment sum of A: B:C.
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