Mathematics Solutions Solutions for Class 8 Math Chapter 15 Compound Interest are provided here with simple step-by-step explanations. These solutions for Compound Interest are extremely popular among Class 8 students for Math Compound Interest Solutions come handy for quickly completing your homework and preparing for exams. All questions and answers from the Mathematics Solutions Book of Class 8 Math Chapter 15 are provided here for you for free. You will also love the ad-free experience on Meritnation’s Mathematics Solutions Solutions. All Mathematics Solutions Solutions for class Class 8 Math are prepared by experts and are 100% accurate. Show
Page No 90:Question 1:Find the amount and the compound interest.
Answer:(1) Here, P = ₹ 2000; R = 5 % ; N = 2 years A=P1+R100N =2000
1+51002 =20001051002 =200021202 =2205 Rupees∴ Compound Interest after 2 years,I = Amount
- Principal =2205-2000 =205 Rupees (2) Here, P = ₹ 5000; R = 8 % ; N = 3 years A=P1+R100N =50001+81003 =5000
1081003 =500027253 =6298.56 Rupees∴
Compound Interest after 3 years,I = Amount - Principal =6298.56-5000 =1298.56 Rupees (3) Here, P = ₹ 4000; R = 7.5 % ; N = 2 years A=P1+R100
N =40001+7.51002 =40001+751000
2 =4000107510002 =400043402 =4622.
50 Rupees∴ Compound Interest after 2 years,I = Amount - Principal
=4622.50-4000 =622.50 Rupees Page No 90:Question 2:Sameerrao has taken a loan of ₹12500 at a rate of 12 p.c.p.a. for 3 years. If the interest is compounded annually then how many rupees should he pay to clear his loan? Answer:Here, P = ₹ 12500; R = 12 % ; N = 3 years A=P1+R100N = 125001+121003 =125001+3253 =125002825 3 =17561.60 Rupees Hence, he should pay an amount of ₹ 17561.60 to clear his loan. Page No 90:Question 3:To start a business Shalaka has taken a loan of ₹8000 at a rate of 1012 p.c.p.a. After two years how much compound interest will she have to pay? Answer:Here, P = ₹ 8000; R = 1012 % ; N = 2 years A=P1+R100 N =80001+10121002 =80001+21 2002 =80002212002 =9768.20 Rupees∴ Compound Interest after 2 years,I = Amount - Principal =9768.20-8000 =1768.20 Rupees Hence, she will have to pay a Compound interest of ₹ 1768.20 after 2 years. Page No 93:Question 1:On the construction work of a flyover bridge there were 320 workers initially. The number of workers were increased by 25% every year. Find the number of workers after 2 years. Answer:Here, P = Number of
workers initially = 320 A=P1+R100N =3201+251002 =3201+142 =32054 2 =500 Hence, the number of workers after 2 years is 500. Page No 93:Question 2:A shepherd has 200 sheep with him. Find the number of sheeps with him after 3 years if the increase in number of sheeps is 8% every year. Answer:Here, P = Number of sheeps initially =
200 A=P1+R100N =200 1+81003 =2001+2253 =20027253 =251.94 =252 approx Hence, the number of sheeps after 3 years is 252. Page No 93:Question 3:In a forest there are 40,000 trees. Find the expected number of trees after 3 years if the objective is to increase the number at the rate 5% per year. Answer:Here, P = Number of trees initially = 40,000 A=P1+R100 N =400001+51003 =400001+1203 =4000021203 =46305 Hence, the expected number of trees after 3 years is 46,305. Page No 93:Question 4:The cost price of a machine is 2,50,000. If the rate of depreciation is 10% per year find the depreciation in price of the machine after two years. Answer:Here, P = Cost price of the machine = 2,50,000 A=P1+R 100N =2500001+-101002 =2500001-110 2 =2500009102 =202500 Also, Hence, the depreciation in price of the machine after two years is Rs 47,500. Page No 93:Question 5:Find the compound interest if the amount of a certain principal after two years is ₹4036.80 at the rate of 16 p.c.p.a. Answer:Here, P = Principal A=P1+ R100N⇒4036.80=P1+161002⇒4036.80=P1 +4252⇒4036.80=P29252⇒P=4036.80×25×2529×29 ⇒P=3000 Also, Hence, the compound interest is ₹ 1036.80 Page No 93:Question 6:A loan of ₹15000 was taken on compound interest. If the rate of compound interest s 12 p.c.p.a. find the amount to settle the loan after 3 years. Answer:Here, P = Principal = ₹ 15000 A=P1+R100N =150001 +121003 =150001+3253 =1500028253 =21073.92 Hence, the amount is ₹ 21073.92 Page No 93:Question 7:A principal amounts to ₹13924 in 2 years by compound interest at 18 p.c.p.a. Find the principal. Answer:Here, P = Principal A=P1+R100N⇒13924=P1+181002⇒13924=P1+9502⇒13924=P59502⇒P=13924 ×50×5059×59⇒P=10000 Hence, the principal is ₹ 10000. Page No 93:Question 8:The population of a suburb is 16000. Find the rate of increase in the population if the population after two years is 17640. Answer:Here,
P = Population of a suburb = 16000 A=P1+R100N⇒17640=160001 +R1002⇒1764016000=1+R1002⇒441400=1+R1002⇒21202=1+R1002⇒1+R100=21 20⇒R100=2120-1⇒R100=120⇒R=5 Hence, the rate of increase in the population is 5 p.c.p.a. Page No 93:Question 9:In how many years ₹700 will amount to ₹847 at a compound interest rate of 10 p.c.p.a. Answer:Here, P = Principal = ₹ 700 A=P1+R 100N⇒847=7001+10100N⇒847700=1+110N⇒121100=1110N⇒11102=1110N ⇒N=2 Hence, the number of years is 2 years. Page No 93:Question 10:Find the difference between simple interest and compound interest on ₹20000 at 8 p.c.p.a. Answer:Disclaimer: In the question "Time" is not given. So the question is solved taking time as 2 years, because simple interest and compound interest will be same for one year. Here, P = Principal = ₹ 20000 Simple interest=P×R×N100 =20000×8×2100 =3200Amount=P1 +R100N =200001+81002 =200001+2252 =2000027252 =23328 Compound interest=23328-20000 =3328Compound interest-Simple interest=3328-3000 =128 Hence, the difference between simple interest and compound interest is ₹ 128. View NCERT Solutions for all chapters of Class 8 What is the compound interest on rupees 2500 for 2 years at the rate of interest 4 percentage per annum?= 2704 - 2500 = Rs. 204 C.I. - S.I.
At what rate% per annum will Rs 2304 amounts to Rs 2500 in two years compounded annually?At what rate percent per annum compound interest will ₹ 2304 amount to ₹ 2500 in 2 years? Hence, the rate of interest is 4 1/6% p.a.
At what rate percent will rupees 2000 amount to rupees 2315.25 in 3 years at compound interest?At what rate percent will ₹ 2000 amount to ₹ 2315.25 in 3 years at compound interest? Hence, the rate of interest is 5% p.a.
At what rate percent per annum compound interest will 5000 amount to 5832 in 2 years?Hence rate = 8%
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