हिंदी

A manufacturer reckons that the value of a machine, which costs him Rs 15625, will depreciate each year by 20%. Find the estimated value at the end of 5 years. - Mathematics

Advertisements
Advertisements

प्रश्न

A manufacturer reckons that the value of a machine, which costs him Rs 15625, will depreciate each year by 20%. Find the estimated value at the end of 5 years.

योग

उत्तर

Cost of machine = Rs. 15625

It will depreciate each year by 20%

∴ Cost of machine at the end of first year

= Rs. `(15625 - (15625 xx 20)/100)`

= Rs. (15625 - 3125)

= Rs. 12500

Cost of machine at the end of second year

= Rs. `(12500 - (12500 xx 20)/100)`

= Rs. [12500 - 2500]

= Rs. 10000

Cost of machine at the end of third year

= Rs. `(10000 - (10000 xx 20)/100)`

= Rs. [10000 - 2000] = Rs. 8000

 Cost of machine at the end of fourth year

= Rs. `(8000 - (8000 xx 20)/100)`

=Rs. [8000 - 1600]

= Rs. 6400

Cost of machine at the end of fifth year

= Rs. `(6400 - (6400 xx 20)/100)`

= Rs. [6400 - 1280]

= Rs. 5120

shaalaa.com
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 9: Sequences and Series - Miscellaneous Exercise [पृष्ठ २००]

APPEARS IN

एनसीईआरटी Mathematics [English] Class 11
अध्याय 9 Sequences and Series
Miscellaneous Exercise | Q 31 | पृष्ठ २००

वीडियो ट्यूटोरियलVIEW ALL [1]

संबंधित प्रश्न

If the sum of n terms of an A.P. is 3n2 + 5n and its mth term is 164, find the value of m.


Find the sum of integers from 1 to 100 that are divisible by 2 or 5.


if `a(1/b + 1/c), b(1/c+1/a), c(1/a+1/b)` are in A.P., prove that a, b, c are in A.P.


Shamshad Ali buys a scooter for Rs 22000. He pays Rs 4000 cash and agrees to pay the balance in annual installment of Rs 1000 plus 10% interest on the unpaid amount. How much will the scooter cost him?


The Fibonacci sequence is defined by a1 = 1 = a2, an = an − 1 + an − 2 for n > 2

Find `(""^an +1)/(""^an")` for n = 1, 2, 3, 4, 5.

 


Show that the following sequence is an A.P. Also find the common difference and write 3 more terms in case. 

9, 7, 5, 3, ...


The nth term of a sequence is given by an = 2n2 + n + 1. Show that it is not an A.P.


Find: 

18th term of the A.P.

\[\sqrt{2}, 3\sqrt{2}, 5\sqrt{2},\]


Is 302 a term of the A.P. 3, 8, 13, ...?


The 6th and 17th terms of an A.P. are 19 and 41 respectively, find the 40th term.


Find the second term and nth term of an A.P. whose 6th term is 12 and the 8th term is 22.


How many numbers of two digit are divisible by 3?


How many numbers are there between 1 and 1000 which when divided by 7 leave remainder 4?


If the sum of three numbers in A.P. is 24 and their product is 440, find the numbers.


Find the sum of the following arithmetic progression :

 (x − y)2, (x2 + y2), (x + y)2, ... to n terms


Find the sum of the series:
3 + 5 + 7 + 6 + 9 + 12 + 9 + 13 + 17 + ... to 3n terms.


If the 5th and 12th terms of an A.P. are 30 and 65 respectively, what is the sum of first 20 terms?


A manufacturer of radio sets produced 600 units in the third year and 700 units in the seventh year. Assuming that the product increases uniformly by a fixed number every year, find (i) the production in the first year (ii) the total product in 7 years and (iii) the product in the 10th year.


There are 25 trees at equal distances of 5 metres in a line with a well, the distance of the well from the nearest tree being 10 metres. A gardener waters all the trees separately starting from the well and he returns to the well after watering each tree to get water for the next. Find the total distance the gardener will cover in order to water all the trees.


A man is employed to count Rs 10710. He counts at the rate of Rs 180 per minute for half an hour. After this he counts at the rate of Rs 3 less every minute than the preceding minute. Find the time taken by him to count the entire amount.


A man accepts a position with an initial salary of ₹5200 per month. It is understood that he will receive an automatic increase of ₹320 in the very next month and each month thereafter.
(i) Find his salary for the tenth month.
(ii) What is his total earnings during the first year?


Write the common difference of an A.P. the sum of whose first n terms is

\[\frac{p}{2} n^2 + Qn\].

If log 2, log (2x − 1) and log (2x + 3) are in A.P., write the value of x.


If the sum of p terms of an A.P. is q and the sum of q terms is p, then the sum of p + q terms will be


If the sum of n terms of an A.P. be 3 n2 − n and its common difference is 6, then its first term is


In n A.M.'s are introduced between 3 and 17 such that the ratio of the last mean to the first mean is 3 : 1, then the value of n is


The first and last term of an A.P. are a and l respectively. If S is the sum of all the terms of the A.P. and the common difference is given by \[\frac{l^2 - a^2}{k - (l + a)}\] ,  then k =


Mark the correct alternative in the following question:

\[\text { If in an A . P } . S_n = n^2 q \text { and } S_m = m^2 q, \text { where } S_r \text{ denotes the sum of r terms of the A . P  . , then }S_q \text { equals }\]


If a1, a2, ..., an are in A.P. with common difference d (where d ≠ 0); then the sum of the series sin d (cosec a1 cosec a2 + cosec a2 cosec a3 + ...+ cosec an–1 cosec an) is equal to cot a1 – cot an 


In an A.P. the pth term is q and the (p + q)th term is 0. Then the qth term is ______.


If the sum of n terms of an A.P. is given by Sn = 3n + 2n2, then the common difference of the A.P. is ______.


If 9 times the 9th term of an A.P. is equal to 13 times the 13th term, then the 22nd term of the A.P. is ______.


Let Sn denote the sum of the first n terms of an A.P. If S2n = 3Sn then S3n: Sn is equal to ______.


If the first term of an A.P. is 3 and the sum of its first 25 terms is equal to the sum of its next 15 terms, then the common difference of this A.P. is ______.


The number of terms in an A.P. is even; the sum of the odd terms in lt is 24 and that the even terms is 30. If the last term exceeds the first term by `10 1/2`, then the number of terms in the A.P. is ______.


If b2, a2, c2 are in A.P., then `1/(a + b), 1/(b + c), 1/(c + a)` will be in ______


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×