Question
Aditi, Bishnu, and Chetna initiated a business with the
capital invested by Aditi and Bishnu in a ratio of 9:8. Chetna invested Rs. 800 less than Bishnu. After 18 months, Bishnu and Chetna increased their investment by 25% and 100%, and Chetna doubled her investment. This adjustment led to equal profit shares for Bishnu and Chetna at the end of 3 years. Determine the initial amount invested by Aditi.Solution
ATQ, Let the initial investment made by ‘Aditi’ and ‘Bhisnu’ be Rs. ‘9a’ and Rs. ‘8a’, respectively. Then, initial investment of ‘Chetna’ = Rs. (8a – 800) Ratio of profit shares of ‘B’ and ‘C’ = (8a × 18 + 8a × 1.25 × 18):{(8a – 800) × 18 + (8a – 800) × 2 × 18} = 324a:(432a – 43200) = 1:1 Or, 108a = 43200 So, a = 43200 ÷ 108 = 400 So, amount invested by ‘Aditi’, initially = 9 × 400 = Rs. 3,600
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