Ramesh had a sum of money .Two-third of the total money he invested in scheme A for 6 years and rest of the money he invested in scheme B for 2 years. Scheme A offers simple interest rate of 12% per annum and scheme B offres compounds interest (compound annually) at a rate of 10 % per annum. If the total sum obtained from both the schemes is ₹5610.what was the total amount invested by him in scheme A and scheme B together

Options

A. ₹15,000
B. ₹10,200
C. ₹11,500
D. ₹10,500

Answer

B

Explanation

Let Ramesh has sum of ₹ P.
Then ` 2/3 P xx ( 12 xx 6)/100 + 1/3 P ( 1 + 10/100)^(2) - 1/3 P = 5610`
` ( 48P)/100 + 1/3 P (121/100) - 1/3 P = 5610`
` (48P)/100 + (121 P - 100P)/300 = 5610`
` (144 P + 21P)/300 = 5610`
` (165P)/300 = 5610`
` Rightarrow P = ( 5610 xx 300)/165`
` Rightarrow P = 34 xx 300 `
` Rightarrow P = ₹ 10,200`