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 Bishnu.Solution
Let the initial investment made by โAditiโ and โBishnuโ be Rs. โ9aโ and Rs. โ8aโ, respectively. Then, initial investment of โChetnaโ = Rs. (8a โ 800) Ratio of profit shares of โBโ and โCโ = (8a ร 18 + 8a ร 1.25 ร 18): {(8a โ 800) ร 18 + (8a โ 800) ร 2 ร 18} = 324a:(432a โ 43200) = 1:1 Or 108a = 43200 So, a = 43200 รท 108 = 400 So, amount invested by โBishnu, initially = 8 ร 400 = Rs. 3,200
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