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Amrita and Bhawna entered into a partnership of handicrafts investing Rs. 13800 and Rs. 17250 respectively. After 4 months, Amrita invested Rs. 3000 more while Bhawna withdrew Rs. 3000. After 2 more months, Chanda joined the business with a capital of Rs. 12250. By how much the share of Bhawna exceeds that of Chanda, out of a total profit of Rs. 446100 after one year?  
1. Rs. 91250
2. Rs. 146000
3. Rs. 109500
4. Rs. 118625
5. Rs. 122275

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Correct Answer - Option 3 : Rs. 109500

Concept:

The ratio of profit = Time × Investment 

Calculation:

The ratio of the profit to be shared among Amrita, Bhawna and Chanda:-

Amrita : Bhawna : Chanda

Rs. 13800 × 4 months  + Rs. 16800 × 8 months : Rs. 17250 × 4 months + Rs. 14250 × 8 months : Rs. 12250 × 6 months

632 : 610 : 245 

According the the question:

The value of the total profit in terms of ratio will be equal to (632 + 610 + 245) 1487

The difference of the share of Bhawna and Chanda would be (610 - 245) = 365

Now, 1487 = 446100 

1 = 446100/1487 ⇒ 300 

∴ 365 = 365 × 300 ⇒ 109500

The share of Bhawna exceeds that of Chanda by Rs. 109500

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