Question : Three partners P, Q, and R invested a total of Rs. 52,000 in a business. At the end of the year, P got Rs. 1,430, Q got Rs. 1,870 and R got Rs. 2,420 as a share of profit. How much amount did Q invest in the business?
Option 1: Rs. 17,000
Option 2: Rs. 20,400
Option 3: Rs. 15,300
Option 4: Rs. 18,700
Correct Answer: Rs. 17,000
Solution :
Given: Three partners P, Q, and R invested a total of Rs. 52,000 in a business.
At the end of the year, P got Rs. 1,430, Q got Rs. 1,870 and R got Rs. 2,420 as a share of profit.
The ratio of P, Q, and R's profit = 1430 : 1870 : 2420 = 13 : 17 : 22
The sum of the ratio = 13 + 17 + 22 = 52
The amount Q invests in the business = $\frac{17}{52}\times 52000=$ Rs. 17,000
Hence, the correct answer is Rs. 17,000.
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