Question

10) A starts a business with Rs 1000.B Joins him after 6
months with Rs 4000.C puts a sum of Rs 5000 for 4
months only. At the end of the year the business gave a
profit of Rs 2800. How should the profit be divided
among them?
a)Rs 600,Rs 1200, Rs 1000
b)Rs 800,Rs 600, Rs 1400
c)Rs 1000, Rs 1200, Rs 600
33 ,
d)Rs 1200, Rs 600, Rs 1000​

Answer 1

Step-by-step explanation:

starts a business with ₹ 4000. B joins him after 3 months with ₹ 8000. C puts a sum of ₹ 20000 in the business for 2 months only. At the end of year, the business gives a profit of ₹ 16800. How should the profit be divided amongst them ?

A = ₹ 5040 B = ₹ 7560, C = ₹ 4200

A = ₹ 7560, B = ₹ 5040, C = ₹ 4200

A = ₹ 4200, B = ₹ 7560, C = ₹ 5040

A = ₹ 4200, B = ₹ 5040, C = ₹ 7560

Correct Option: A

A's share : B's share : C's share

= Ratio of product of investment and time period of investment

= 4000 x 12 : 8000 x (12 - 3) : 20000 x 2

= 4 x 12 : 8 x 9 : 20 x 2

= 6 : 9 : 5

Let,

A's share = 6N

B's share = 9N

C's share = 5N

According to the question,

6N + 9N + 5N = 16800

⇒ 20N = 16800

∴ N = 16800/20 = 840

∴ A's share = 6N = 6 x 840 = ₹ 5040

B's share = 9N = 9 x 840 = ₹ 7560

C's share = 5N = 5 x 840 = ₹ 4200