A and B start a business with capital Rs. 28,000 and Rs. 21,000 respectively. A gets 20% from their total profit for managing the business. If A gets Rs. 220 more profit than B, then find the share of B.
Answer & explanation
Correct answer: option 3
A : B
Inv. : 28000 : 21000
4 : 3
Profit: 4 : 3 = 7R ......(i)
*If time is same then investment ratio becomes profit ratio*
Now, ATQ
⇒ 20% profit taken by A and remaining 80% (i.e. = 7R) is divided according to their profit ratio.
So,
20% = \(\frac{1}{5}\) = \(\frac{7}{35}\)
⇒ Remaining = 80% = \(\frac{4}{5}\) = \(\frac{28}{35}\) ....(ii)
Multiply (i) by 4 to compare with (ii):
A : B ⇒ 80% : 20%(A) : Total
Profit: 16 : 12 ⇒ 28 : 7 : 35
Hence,
A's total profit = 16R + 7R = 23R
Difference b/w profit of A and B = 23R - 12R = 11R
⇒ 11R = 220
⇒ 1R = 20
⇒ B's Profit = 12R = 12 × 20 = Rs.240