# Priti and Shobha started business with Rs. 12,240 and Rs. 20,400 respectively. After 7 months, Shobha left and Tina joined with capital Rs. 4080 more

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Priti and Shobha started business with Rs. 12,240 and Rs. 20,400 respectively. After 7 months, Shobha left and Tina joined with capital Rs. 4080 more than Shobha. If at the end of year, the profit share of Tina was Rs. 23,940, find the total profit of the year.
1. Rs. 82,597
2. Rs. 81,590
3. Rs. 80,598
4. Rs. 80,593

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Correct Answer - Option 3 : Rs. 80,598

Given:

Investment of Priti and Shobha respectively = Rs. 12,240 and Rs. 20,400

Shobha left after 7 months

Investment of Tina after she joined = Rs. 4080 + Shobha's investment

Profit share of Tina = Rs. 23,940

Concept used:

As we know, Profit is directly proportional to (Investment × Time)

Calculation:

Investment of Tina = Rs. (4080 + 20,400) = Rs. 24,480

Ratio of the profit share of Priti, Shobha and Tina = 12240 × 12 : 20400 × 7 : 24480 × 5

⇒ 36 : 35 : 30

So, 30 = Rs. 23,940

Then, 101 = Rs. (23,940/30) × 101

⇒ Rs. 80,598

∴ Total profit of the year was Rs. 80,598