A and B entered into a partnership investing Rs 16000 and

Home » Aptitude » Ratio, Proportion » Question

A and B entered into a partnership investing Rs 16000 and Rs. 12000 respectively. After 3 months A withdrew Rs. 5000 while B invested Rs. 5000 more. After 3 more months C joins the business with a capital of Rs 21000. The share of B exceeds that of C, out of a total profit of Rs. 26400 after one year by

1. Rs. 2400
2. Rs. 1200
3. Rs. 3600
4. Rs. 4800

Correct Option: C

Ratio of equivalent capitals of A, B and C for 1 month
= (16000 × 3 + 11000 × 9) :
(12000 × 3 + 17000 × 9) : (21000 × 6)
= (48000 + 99000) : (36000 +
153000) : 126000
= 147000 : 189000 : 126000
= 49 : 63 : 42
= 7 : 9 : 6
Sum of ratios = 7 + 9 + 6 = 22

∴ Required difference = Rs.		9 − 6	× 26400
		22

= Rs.	3 × 26400	= Rs. 3600
	22