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Saima invested Rs. 50000 in gold for the whole year. After 5 months of Saima, her brother joined her and invested Rs 60000. Next year Saima invested Rs. 10000 more and her brother withdrew Rs. 5000 and at the end of two years profit earned by Saima is Rs. 42000. Find the total profit earned if they distributed half of the total profit equally and rest in the capital ratio.

Saima invested Rs. 50000 in gold for the whole year. After 5 months of Saima, her brother joined her and invested Rs 60000. Next year Saima invested Rs. 10000 more and her brother withdrew Rs. 5000 and at the end of two years profit earned by Saima is Rs. 42000. Find the total profit earned if they distributed half of the total profit equally and rest in the capital ratio. Correct Answer Rs. 80,000

Given

Saima invested in gold for first year = Rs. 50000

Saima invested more in gold for second year = Rs. 10000

Saima’s brother invested for 7 month = Rs. 60000

Saima’s brother withdrawal from first years amount = Rs. 5000

Profit earned by Saima at the end of second year = Rs. 42000

Calculation

Saima invested for second year = Rs. 50000 + Rs 10000 = Rs. 60000

Saima’s brother invested for second year = Rs. 60000 – Rs. 5000 = Rs. 55000

According to question

Capital Ratio = 50000 × 12 + 60000 × 12 : 60000 × 7 + 55000 × 12

⇒ 600000 + 720000 : 420000 + 660000

⇒ 1320000 : 1080000 = 11 : 9

Let total profit earned by both = Rs x

Saima’s profit for 2 years = x × 50% × 50% + x × 50% × 11/20

⇒ 42000 = 21 x/40

⇒ x = (42000 × 40)/ 21

⇒ x = Rs. 80000

∴ Total profit earned by Saima and her brother after 2 years is Rs. 80,000

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