A and b invest in a business in the ratio 3:2. If 5% of the total profit goes to charity and a's share is rs. 855, what is the total profit is? Options
Answers
A's share after giving to charity = Rs 855
Find A's share before giving to charity:
A's share before giving to charity = 100%
Charity = 5%
A's share after giving to charity = 100 - 5 = 95%
95% = Rs 855
1% = 855 ÷ 95 = Rs 9
100% = 9 x 100 = Rs 900
Define x:
Ratio of A : B = 3 : 2
Let x be the constant ratio
Ratio of A : B = 3x : 2x
Solve x:
A's share = 4x
A's share = Rs 300
3x = 900
x = 900 ÷ 3 = Rs 300
Find total profit:
Total profit = 3x + 2x = 5x
5x = 300 x 5 = Rs 1500
Answer: Total profit is Rs 1500
Answer
Total profit is 1500
Explanation
It is given that A and B invest in a business in the ratio 3:2
5% of the total profit goes to charity
Let P be the total profit 5% given as charity. remainig 95% divided into A and B
A get 3/5 of remaining and B get 2/5 of remaining
A's share is rs. 855
so we can write
(P x0 .95 x 3)/5 =855
P = Rs. 1500