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Miyagi opened a bonsai shop by investing an amount. After 3 years his student 1 invested half the amount invested by miyagi and another student invested after 2 years and that amount was twice the investment made by miyagi. The business earned profit of Rs. 217,000 after 6 years. By how much percentage is profit earned by student 1 less then that earned by miyagi?

Miyagi opened a bonsai shop by investing an amount. After 3 years his student 1 invested half the amount invested by miyagi and another student invested after 2 years and that amount was twice the investment made by miyagi. The business earned profit of Rs. 217,000 after 6 years. By how much percentage is profit earned by student 1 less then that earned by miyagi? Correct Answer 75%

Given:

Student 1 = Invested amount half that of miyagi

Student 2 = Twice amount of miyagi

Formula used:

Profit earned in Rs = Profit earned in % × investment

Calculation:

Let, investment made by miyagi = X

⇒ miyagi : Student 1: Student 2 = 6 × X : (3 × X/ 2) : (4 × X × 2)

⇒ Miyagi : Student 1: Student 2 = 12 : 3 : 16

⇒ Profit earned by miyagi = 12 × 217000/ 31

⇒ Profit earned by miyagi = 84,000

⇒ Profit earned by student 1 = 3 × 217000/ 31

⇒ Profit earned by student 1 = 21,000

Required percentage = ((84000 – 21000)/ 84000) × 100

⇒ required percentage = 63000/ 840

∴ required percentage is 75%

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