If a farmer borrows ₹2000 and repay with a total interest of ₹140 in 12 months each installment less than the precedind by ₹15. What is the first installment ?
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✦Principle =2,000
Interest =140
Number of installments =12
Amount =2140
Let first installment be x
then the installments in order are x,x-15,………x-165
Sum of installments =x+x-15+………x-165=2140
2140=12x-15-30………-165
2140=12x -15(1+2……11)
2140=12x-15(66)
2140=12x-990
2140+990=12x
3130=12x
x=260.833
The first installment =260.83Rs
✦Principle =2,000
Interest =140
Number of installments =12
Amount =2140
Let first installment be x
then the installments in order are x,x-15,………x-165
Sum of installments =x+x-15+………x-165=2140
2140=12x-15-30………-165
2140=12x -15(1+2……11)
2140=12x-15(66)
2140=12x-990
2140+990=12x
3130=12x
x=260.833
The first installment =260.83Rs
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