मराठी

A man deposited Rs 10000 in a bank at the rate of 5% simple interest annually. Find the amount in 15th year since he deposited the amount and also calculate the total amount after 20 years. - Mathematics

Advertisements
Advertisements

प्रश्न

A man deposited Rs 10000 in a bank at the rate of 5% simple interest annually. Find the amount in 15th year since he deposited the amount and also calculate the total amount after 20 years.

बेरीज
Advertisements

उत्तर

In Simple Interest, the amount after n years is given by:

Amount = `P +(P xx R xx T)/100`

where:

  • P = Principal = ₹ 10,000
  • R = Rate of interest per annum = 5%
  • T = Time in years = 15 and 20 years

Amount after 15 years: 

`"SI"_15 = (10000 xx 5 xx 15)/100 = ₹ 7,500`

Amount15 = 10000 + 7500 = ₹ 17,500

Amount after 20 years: 

`"SI"_20 = (10000 xx 5 xx 20)/100 = ₹ 10,000`

Amount20 = 10000 + 10000 = ₹ 20,000​

shaalaa.com
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 8: Sequences and Series - Miscellaneous Exercise [पृष्ठ १४८]

APPEARS IN

एनसीईआरटी Mathematics [English] Class 11
पाठ 8 Sequences and Series
Miscellaneous Exercise | Q 16. | पृष्ठ १४८

व्हिडिओ ट्यूटोरियलVIEW ALL [1]

संबंधित प्रश्‍न

Find the sum of all natural numbers lying between 100 and 1000, which are multiples of 5.


Insert five numbers between 8 and 26 such that the resulting sequence is an A.P.


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


Find the sum of all two digit numbers which when divided by 4, yields 1 as remainder.


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.

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


Which term of the A.P. 84, 80, 76, ... is 0?


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


How many terms are there in the A.P.\[- 1, - \frac{5}{6}, -\frac{2}{3}, - \frac{1}{2}, . . . , \frac{10}{3}?\] 


If 9th term of an A.P. is zero, prove that its 29th term is double the 19th term.


If 10 times the 10th term of an A.P. is equal to 15 times the 15th term, show that 25th term of the A.P. is zero.


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


Find the four numbers in A.P., whose sum is 50 and in which the greatest number is 4 times the least.


The angles of a quadrilateral are in A.P. whose common difference is 10°. Find the angles.


Find the sum of the following arithmetic progression :

41, 36, 31, ... to 12 terms


Find the sum of first n odd natural numbers.


If a, b, c is in A.P., then show that:

 a2 (b + c), b2 (c + a), c2 (a + b) are also in A.P.


A man arranges to pay off a debt of Rs 3600 by 40 annual instalments which form an arithmetic series. When 30 of the instalments are paid, he dies leaving one-third of the debt unpaid, find the value of the first instalment.


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


Write the sum of first n odd natural numbers.


If m th term of an A.P. is n and nth term is m, then write its pth term.


If 7th and 13th terms of an A.P. be 34 and 64 respectively, then its 18th term is


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


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


Let Sn denote the sum of n terms of an A.P. whose first term is a. If the common difference d is given by d = Sn − k Sn − 1 + Sn − 2 , then k =


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 =


If the first, second and last term of an A.P are a, b and 2a respectively, then its sum is


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 a, b, c, d are four distinct positive quantities in A.P., then show that bc > ad


The first term of an A.P.is a, and the sum of the first p terms is zero, show that the sum of its next q terms is `(-a(p + q)q)/(p - 1)`


A man accepts a position with an initial salary of Rs 5200 per month. It is understood that he will receive an automatic increase of Rs 320 in the very next month and each month thereafter. Find his salary for the tenth month


Let 3, 6, 9, 12 ....... upto 78 terms and 5, 9, 13, 17 ...... upto 59 be two series. Then, the sum of the terms common to both the series is equal to ______.


The fourth term of an A.P. is three times of the first term and the seventh term exceeds the twice of the third term by one, then the common difference of the progression is ______.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×