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Sujata and Kavita started a parlor into a partnership with investment in the ratio of 4 : 3 respectively. Among them, Kavita is the working partner for which she gets 15% of the total profit and Sujata is the sleeping partner. If at the end of one year they earned a profit of Rs. 50000 out of which 8% goes to the charity. Find the share of Kavita in the profit.

Sujata and Kavita started a parlor into a partnership with investment in the ratio of 4 : 3 respectively. Among them, Kavita is the working partner for which she gets 15% of the total profit and Sujata is the sleeping partner. If at the end of one year they earned a profit of Rs. 50000 out of which 8% goes to the charity. Find the share of Kavita in the profit. Correct Answer Rs. 24,000

Given

Percentage of kavita’s part in the profit = 15%

Profit earned after 1 year = Rs. 50000

Percentage of profit goes to charity = 8%

Formula Used 

Investment = capital × time

Calculation 

Amount goes to charity = 8% × 50000 = Rs. 4000

Amount goes to Kavita as a working partner =15% × 50000 = Rs. 7500

Remaining amount = Rs. (50000 – 7500 – 4000) = Rs. 38500

Share of Kavita in the remaining profit = 3 × 38500/ 7 = Rs. 16500

Total share of Kavita = Rs. (7500 + 16500) = Rs. 24000

∴ kavita’s total share of profit is  Rs. 24,000.

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