A man starts repaying a loan as first instalment of Rs.100. If he increases the instalments by Rs .5 every month, what amount he will pay in 30^th instalment?

Question

A man starts repaying a loan as first instalment of Rs.100. If he increases the instalments by Rs .5 every month, what amount he will pay in 30 th instalment?

Philoid · Accepted Answer

Given: First installment is Rs. 100 and he increases it by Rs. 5 every month

To find: Total amount in 30^th installment i.e. a₃₀

According to question:

A.P. will be 100, 105,……………………

a = 100 and d = 5

Formula used:

a_n = a + (n – 1)d

⇒ a₃₀ = 100 + (30 – 1)5

⇒ a₃₀ = 100 + (29)5

⇒ a₃₀ = 100 + 145

⇒ a₃₀ = 245

Hence, he will pay Rs. 245 in 30^th installment

A man starts repaying a loan as first instalment of Rs.100. If he increases the instalments by Rs .5 every month, what amount he will pay in 30th instalment?

A man starts repaying a loan as first instalment of Rs.100. If he increases the instalments by Rs .5 every month, what amount he will pay in 30^th instalment?