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Number Line Prime Class 7 Solutions Chapter 11 Simple Interest
Welcome to NCTB Solutions. Here with this post we are going to help 7th class students for the Solutions of Number Line Prime Class 7 Math Book, Chapter 11, Simple Interest. Here students can easily find step by step solutions of all the problems for Simple Interest, Exercise 11A, 11B, 11C and 11D Also here our mathematics teacher’s are solved all the problems with easily understandable methods with proper guidance so that all the students can understand easily. Here in this post students will get chapter 11 solutions. Here in this post all the solutions are based on latest Syllabus.
Simple Interest Exercise 11A Solution :
Question no – (1)
Solution :
(a) P = Rs 860, I = Rs 45
∵ P = 860, I = 75
∴ A = P + I
∴ A = 860 + 75
∴ A = 935
So, the amount will be Rs 935
(b) P = Rs 10,200, I = Rs 980
∵ P = 10,200, I = 980
∴ A = P + I
∴ A = 90200 + 980
∴ A = 11180
Thus, the amount will be Rs 11180
(C) P = Rs 3500, I = Rs 267
∵ P = 3500, I = 267
∴ A = 3500 + 267
∴ A = 3767
Hence, the amount will be Rs. 3767
(d) P = Rs 5810, I = Rs 476
∵ P = 5810, I = 476
∴ A = 5810 + 476
∴ A = 6286
Therefore, the amount will be 6286 Rs.
Simple Interest Exercise 11B Solution :
Question no – (1)
Solution :
(a) Rs 500 for 1 year at 4% p.a.
∴ Interest on 100 rupees for one year = 4
∴ 1 rupees for one year = 4/100
∴ 500 rupees for one year
= 4/100 × 500
= 20 Rs
∴ S.I. for 1 year = 20 Rs
(b) Rs 800 for 1 Year at 3% p.a.
∴ Interest on 100 rupees for one year = 3
∴ 1 rupees for one year = 3/100
∴ 800 rupees for one year
= 3/100 × 800
= 24 Rs
∴ S.I. for 1 year = 24 Rs
(c) Rs 1000 for 3 years at 6% p.a.
∴ Interest on 100 rupees for 1 years = 6
∴ 1 rupees for 1 years = 6/100
∴ 1000 rupees for 1 years,
= 6/100 × 1000
= 60 Rs
∴ S.I. for 1 year = 60 Rs
∴ For 3 year = 60 × 3 = 180 Rs
(d) Rs 5600 for 2 years at 7 % p.a.
∴ Interest on 100 rupees for 1 year = 7
∴ 1 rupee for 1 year = 7/100
∴ 5600 rupees for 1 year,
= 7/100 × 5600
= 392 Rs
∴ S.I. for 1 year = 392
∴ For 2 year = 392 × 2
= 784 Rs
Question no – (2)
Solution :
(a) Rs 9000 for 3 years bat 6% p.a.
P = 9000, R = 6%, T = 3 Years
∴ S.I. – PRT/100
= 9000 × 6 × 3/100
= 1620 Rs
(b) Rs 7650 for 4 years at 12.5 % p.a.
P = 7650, R = 12.5%, T = 4 Years
∴ S.I. = 7650 × 125 × 4/1000
= 3825 Rs
(c) Rs 6480 for 2 years at 16% p.a.
P = 6480, T = 2Y, R = 16%
∴ S.I. = 6480 × 16 × 2/100
= 20736/10
= 2013.6 Rs
(d) Rs 9300 for 5 years at 7% p.a.
P = 9300, R = 7%, T = 5 y
∴ S.I. = 9300 × 7 × 5/100
= 3255 Rs
Simple Interest Exercise 11C Solution :
Question no – (1)
Solution :
(a) P = Rs 1500, R = 11% p.a., T = 3 years
P = Rs 1500, R = 11%, t = 3y
∴ I = 1500 × 11 × 3/100
∴ I = 495 Rs
∴ A = P + I
∴ A = 1500 + 495
∴ A = 1995 Rs
(b) P = Rs 1840, R= 5%, t = 2years
P = 1840, R = 5, T = 2y
∴ I = 1840 × 5 × 2/100
∴ I = 184 Rs
∴ A = 1840 + 184
∴ A = 2024 Rs
(c) P = Rs 6000, R = 12 ½% p.a., T =5 years
P =Rs 6000, R = 12 1/2% , T = 5 years
∴ I = 6000 × 25/2 × 5/100
∴ I = 3750 Rs
∴ A = 6000 + 3750
∴ A = 9750 Rs
(d) P = Rs 7500, R = 6%p.a., T = 4 years
P = 7500, R = 6% T = 4y
∴ I = 7500 × 6 × 4/100
∴ I = 1800 Rs
∴ A = 7500 + 1800
∴ A = 9300 Rs
Question no – (2)
Solution :
(a) P = 8500, R = 18%, T = 3 y
∴ I = 8500× 18 × 3/100
∴ I = 4590 Rs
∴ A = 8500 + 4590
∴ A = 13090 Rs
(b) P = 3600, R = 15%, T = 4y
∴ I = 3600 × 15 × 4/100
∴ I = 2160 Rs
∴ A = 3600 + 2160
∴ A = 5760 Rs
Therefore, he has to pay Rs 5760 at the end of 4 years.
Simple Interest Exercise 11D Solution :
Question no – (1)
Solution :
(a) R = 12%, T = 4, I = 900
∴ I = PRT/100
∴ P = I × 100/RT
= 900 × 100/12 × 4
= 1875
(b) R = 15%, T =5, I = 7245
∴ P = I × 100/RT
= 7245 × 100/15 × 5
= 9660
(c) R = 5 %, T= 4y, I = 940
∴ p = 940 × 100/5 × 4
= 4700
(d) R = 8 %, T = 2y, I = 840
∴ p = 840 × 10/8 × 2
= 5250
Question no – (2)
Solution :
(a) P = 350%, I = 105, T = 6
∴ R = I × 100/PT
= 105 × 100/350 × 6
(b) P= 425, I = 238, T = 8
∴ R = 238 × 100/425 × 8
= 7 %
Question no – (3)
Solution :
(a) P = 300, I = 60, R =5%
∴ T = 100 × I/PR
= 100 × 60/300 × 5
= 4 years
(b) P = 500, I = 105, R = 3 1/2% = 7/2%
∴ T = 100 × 105/500 × 7/2
= 6 years.
Question no – (4)
Solution :
(a) P = 20,000, A = 23000, R = 5%, T = ?
∴ I = A – P
∴ I = 23000 – 2000
∴ I = 3000
∴ T = I × 100/PR
∴ T = 3000 × 100/20000 × 5
∴ T = 3 year
∴ It takes 3 Years
(b) P = 62000, A = 99200, T = 4 year, R = ?
∴ I = A – P
∴ I = 99200 – 62000
∴ I = 37200
∴ R = I × 100/PT
∴ R = 37200 × 100/62000 × 4
∴ R = 15%
Therefore, the rate of the interest will be 15%
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