A started a business with a capital of Rs. 1,12,000. After 2 months, B joined the business with a capital of Rs. 80,000 and after another 2 months, C joined the business with a capital of Rs. 72,000. After 10 months from the start of the business, B withdrew Rs. 8,000 and C also withdrew Rs. 8,000. If B received Rs. 9,800 as his share in the profit at the end of a year, then the total profit was:
Show answer & explanation
Correct answer: D
Explanation
The correct answer is Option 4 i.e. 33600
Number of months A worked = 12 months
number of months B worked = 10 months
number of months C worked = 8 months
according to question, 112000 × 12 : 80000 × 8 + 72000 × 2 : 72000 × 6 + 64000 × 2
⇒ 336 : 160 + 36 : 108 + 32
⇒ 84 : 49 : 35
Recovered profit = 9800
(49/168) × x = 9800 (let x is total profit)
⇒ x = 9800 × 168/49 = 33600