Raghav lent Rs7 500 to Gopal for three years and Rs5 000 to Sachin for four years on simple interest...........

Quantitative Aptitude (MTS) Simple Interest

Raghav lent Rs7,500 to Gopal for three years and Rs5,000 to Sachin for four years on simple interest at the same rate of interest

and received Rs3,570 in all from both as interest. The interest paid by Sachin is:

This questions was previously asked in

SSC MTS 11th October 2021 Shift-2

Rs1,580

Rs1,500

Rs1,680

Rs1,600

- Initial Setup: Raghav lent Rs7,500 to Gopal for three years and Rs5,000 to Sachin for four years.

- Interest Total: The total interest received from both is Rs3,570.

- Using Simple Interest Formula: Simple Interest = Principal × Rate × Time.

- Equation for Gopal: Let the rate be R%. The interest from Gopal is 7500 × R × 3/100.

- Equation for Sachin: Interest from Sachin is 5000 × R × 4/100.

- Total Interest Equation: 7500 × R × 3/100 + 5000 × R × 4/100 = 3,570.

- Solving Equations:

- 22,500R + 20,000R = 3,57,000

- 42,500R = 3,57,000

- R = 8.4

- Interest paid by Sachin: 5000 × 8.4 × 4/100 = Rs1,680.

- Correct Option: Option 3, Rs1,680.

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