If a debt of `4600Rs` at a rate of simple interest `10%` per annum, is to be repaid in `4` years, then what will be the instalment per annum?

Explanation

Let the instalment per annum be `Rs x`.
As per question. `(x+(x xx10xx3)/(100))+(x+(x xx10xx2)/(100))+(x+(x xx10xx1)/(100))+x=4600`
`implies(x+(3x)/(10))+(x+(2x)/(10))+(x+(x)/(10))+x=4600`
`implies(13x)/(10)+(12x)/(10)+(11x)/(10)+x=4600`
`implies(13x+12x+11x+10x)/(10)=4600`
`implies(46x)/(10)=4600impliesx=(4600xx10)/(46)impliesx=1000`.
`:.` The instalment per annum `=Rs 1000`.