3. An article can be bought by paying 28,000
at once or by making 12 monthly instalments.
If the first instalment paid is * 3,000 and
every other instalment is 100 less than the
previous one, find :
(i) amount of instalment paid in the 9th month
(ii) total amount paid in the instalment scheme.
Answers
Given : An article can be bought by paying 28,000 at once or by making 12 monthly installments. If the first installment paid is * 3,000 and
every other installment is 100 less than the previous one,
To find : (i) amount of installment paid in the 9th month
(ii) total amount paid in the installment scheme.
Solution:
An article can be bought by paying 28,000 at once
1st installment = Rs 3000
Next installment is 100 less than previous installment
This is an AP
a = 3000
d = - 100
9th installment = a + (9-1)d = a + 8d = 3000 + 8(-100)
= 3000 - 800
= 2200 Rs
12th installment = a + 11d = 3000 -1100 = Rs 1900
Amount paid in 12 installments = (12/2)(3000 + 1900)
= 6 * 4900
= 29400 Rs
total amount paid in the installment scheme. = Rs 29400
amount of installment paid in the 9th month = Rs 2200
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Answer:
Amount of installment paid in the 9th month = 2200
Total amount paid = 29400
Step-by-step explanation:
Given :
Cost of the Article =28000
Installments are as: 3000,2900,2800
Total installments : 12
Every installment is less than 100 by previous one so,
22
Now ,
We will calculate any month installment by below formula,
nth month installment = 1st installment - (n - 1)*100
where,
n = month number
(i) amount of installment paid in the 9th month
i.e. nth month installment = 1st installment - (n - 1)*100
= 3000 -(9 - 1)*100
= 3000 - 8*100
= 3000 - 800
= 2200
(ii) total amount paid in the installment scheme.
total numbers of installments = 12
so ,
Total amount paid = 29400