A man secures an interest free loan rs.14500 from a friend and agrees to repay it in installments. He pays rs 1000 as first installment and increases each installment by equal amount over preceding installment. What is the last installment?
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He had to pay the last installment of Rs 1900
Step-by-step explanation:
The first installment is Rs 1000
Let a be the first installment, while the increment is represented by d
If he pays 10 installments, the installments are represented as:
a, a+d, a+2d…..a+9d
After paying first installment, the remaining amount to be paid is Rs 13500
Thus,
13500 = 9a + 45d
When a = 1000;
13500 = 9 x 1000 + 45 d
4500 = 45 d
d = 100
Thus, every installment was increased by an increment which was the multiple of 100
The last installment that he had to pay was a+9d
= 1000 + 9 x 100
= 1900
He had to pay the final installment of Rs 1900
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