Question

i) A farmer borrows `1000 & agrees to repay with a total interest of `140 in 12 installments, each

installment being less than the preceding installment by `10. What should be his first & last

installment?​

Answer 1

Answer:

ANSWER

Repay with a total 12 instalment = Rs. 140

∴ Total of 12 instalment S

12

= Rs (1,000+140)

= Rs. 1140

Number of instalments (n)=12

Let first instalments =a

Difference (d)=−10

∴S

n

=

2

n

[2a+(n−1)d]

∴S

12

=

2

12

[2a+11×(−10)]

⇒1140=6[2a−110]

⇒2a−110=190

⇒2a=300

a=150

∴ First instalment is Rs. 150.

Answered By

toppr

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Answer 2

Step-by-step explanation:

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