Jeff Bezos and Elan Musk started a fruit market business by investing in the ratio of 4 : 7. Bill joined them after 8 months investing an amount equal to that of Elan. At the end of the year, 20% profit was earned which is equal to Rs. 75200. Find the amount invested by Bill.
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Given: Ratio of investment made by Jeff and Elon = 4:7
The investment made by Bill is the same as that made by Elon
Profit made at the end of the year = 20% = Rs. 75200
To Find: Amount invested by Bill
Solution:
- We can solve this question by using the following mathematical process:
- Let Investment made by Jeff be 4x
and let Investment made by Elon be 7x
According to the question,
The investment made by Bill = 7x (same as that made by Elon)
Total investment made = 4x + 7x + 7x = 18x
- Now profit made = 20 % of 18x
⇒ 20% of 18x + 18x = 75200
⇒ (18x) + 18x = 75200
⇒ 18x( + 1) = 75200
⇒ 18x × = 75200
⇒ x = 75200 ×
⇒ x = 3481.48
- Amount invested by Bill =7x
So, 7x = 3481.48 × 7 = 24370.37
Therefore, the amount invested by Bill is Rs 24370.37.
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