A started a business. After 4 months from the start of the business, B and C joined him. The ratio of
the investments of A, B and C was 4: 6:5. If A's share in annual profit was Rs.250 more than that of C,
what was the total annual profit earned?
Answers
Answer:
Description for Correct answer:
Ratio of the equivalent capitals of A, B and C for 1 month
= (12 x 4) : (6 x 8) : ( 5 x 8) = 48 : 48 : 40
= 6 : 6 : 5
Sum of ratios = 6 + 6 + 5 = 17
If total annual profit be Rs.x then
A's share - C's share = 250
=> 6x/17 - 5x/17 = 250
=> x/17 = 250
=> x= 17 x 250 = Rs. 4250
Step-by-step explanation:
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Given : A started a business.
After 4 months from the start of the business, B and C joined him. The ratio of the investments of A, B and C was 4: 6:5. If A's share in annual profit was Rs.250 more than that of C,
To find : the total profit earned by them.
Solution:
Let say A , B and C invested = 4x , 6x and 5x respectively
A for 12 months = 4x * 12 = 48x
B & C joins after 4 months hence 12 - 4 = 8 months
=> B investment = 6x * 8 = 48x
C investment = 5x * 8 = 40x
Total = 48x + 48x + 40x = 136x
A's share in annual profit was Rs.250 more than that of C,
=> 48x - 40x = 8x = 250
8x = 250
=> x = 250/8
=> 136x = 136 * 250/8 = 4250
the total profit earned by them. = 4250
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