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Lakshmi Deepika

· started a discussion

· 1 Months ago

A:B 5:3 (Question: 200588.0 )

why the ratios doubled 5:3 to 10: 9 and 2:3 to 6:9

Question:
A and B started a business with the investments in the ratio of 5:3 respectively. After 6 months from the start of the business, C Joined them and the respective ratio between the Investments of B and C was 2:3. If the annual profit earned by them was Rs. 12,300/-, what was the difference between B’s share and C’s share In the profit?
Options:
A) Rs. 900/-
B) Rs. 800/-
C) Rs. 600/-
D) Rs. 400/-
E) Rs. 700/-
Solution:
Ans: (a) A : B = 5 : 3 = 10 : 6

B : C = 2 : 3 = 6 : 9

∴ A : B : C = 10 : 6 : 9

Ratio of the equivalent capitals of A, B and C for 1 year

= 10 × 12: 6 × 12: 9 × 6 = 20:12:9

Sum of the terms of ratio = 20 + 12 + 9 = 41

∴ Difference between the shares of B and C

= \(\left ( \cfrac {12-9}{41}\ \right )×12300\) = Rs.900

ganeshkumar

· commented

· 1 Months ago

in ratio we have to arrange so a:b:c=10:6:9 we want
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