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Number Line Prime Class 7 Solutions Chapter 10 Profit and Loss
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 10, Profit and Loss. Here students can easily find step by step solutions of all the problems for Profit and Loss, Exercise 10A and 10B 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 10 solutions. Here in this post all the solutions are based on latest Syllabus.
Profit and Loss Exercise 10A Solution :
Question no – (1)
Solution :
(a) C.P = Rs 20, S.P = Rs 26
Given, C.P = 20, S.P = 26
SP > CP,
∴ Profit = S.P – C.P
= 26 – 20
= 6
(b) C.P = Rs 58, S.P = Rs 49
Given, C.P = 38, S.P = 49
C.P > S.P
∴ Loss = C.P – S.P
= 58 – 49
= 9
(c) C.P = Rs 7.50, S.P = Rs 10
Given, C.P = 7.50, SP = 10
∴ S.P > C.P
Profit = S.P – C.P
= 10 – 7.50
= 2.50
(d) C.P = Rs 140, S.P = Rs 105
Given, C.P = 140, S.P = 105
C.P > S.P
∴ Loss = C.P – S.P
= 140 – 105
= 35
(e) C.P = Rs 8000, S.P = Rs 7,981
Given, C.P = 8000, S.P = 7981
Clearly, C.P > S.P
∴ Loss = C.P – S.P
= 8000 – 7981
= 19
Question no – (2)
Solution :
(a) C.P = Rs 38, Profit = Rs 6
∴ C.P = 38, Profit = 6
∴ S.P = C.P + Profit
= 38 + 6
= 448
(b) C.P = Rs 408, Loss = Rs 20
∴ C.P = 408, Loss = 20
∴ S.P = C.P – Loss
= 408 – 20
= 388
(c) C.P = Rs 12.50, Loss = Rs 1.50
∴ S.P = C.P – Loss
= 12.50 – 1.50
= 11
(d) C.P = Rs 720, Profit = Rs 53
∴ C.P = 720, Profit = 53
∴ S.P = C.P + Profit
= 720 + 53
= 773
Question no – (3)
Solution :
(a) S.P = Rs 82, Loss = Rs 10
∴ S.P = 82
∴ Loss = 10
∴ C.P = S.P = Loss
= 82 + 10
= 92
(b) S.P = Rs 176, Profit = Rs 15
∴ S.P = 176, Profit = 15
∴ C.P = SP – Profit
= 176 – 15
= 161 Rs
(c) S.P = Rs 439, Loss = Rs 48
∴ S.P = 439, Loss = 48
∴ C.P = 439 + 48
= 487
(d) S.P = Rs 1385, Profit = Rs 270
∴ S.P = 1385, Profit = 170
∴ C.P = 1385 – 270
= 1115
Question no – (4)
Solution :
Given, C.P = 5890, S.P = 6672
∴ S.P > C.P
∴ Profit will be,
= 6672 – 5890
= 782 Rs
Question no – (5)
Solution :
∴ C.P = 21700, He spent 540 on its repair
∴ New C.P will be,
= (21700 + 540)
= 22240 Rs
∴ S.P = 24000
∴ S.P > C.P
∴ Profit will be,
= (21700 + 540)
= 1760 Rs.
Profit and Loss Exercise 10B Solution :
Question no – (1)
Solution :
(a) CP = Rs 1440 and SP = Rs 1800
Given, CP = 1440, SP = 1800
SP > CP
∴ Profit = 1800 – 1440
= 360
∴ Profit % = (360/1440 × 100) %
= 25%
(b) CP = Rs 100 and SP = Rs 200
Given, CP = 100, SP = 200
∴ SP > CP, Profit = 200 – 100
∴ Profit % = (100/100 × 100)
= 100%
(c) CP = Rs 200 and SP = Rs 100
Given, CP = 200, SP = 100
CP > SP,
∴ Loss = 200 – 100
= 100
∴ Loss % = 100/200 × 100
= 50%
(d) CP =Rs 550, overhead expense
= Rs 250 and SP = Rs 900
Given, CP = 550, OE = 250, SP = 900
∴ Total CP = (550 + 250) = 800, SP = 900
∴ SP > CP, Profit = 900-800
= 100
∴ Profit % = 100/800 × 100
= 25/2%
Question no – (2)
Solution :
∴ Profit% = 15%,
Total C.P = (1850 + 450) = 2300 Rs
∴ S.P = 100 + 15/100 × 2300
= 115 × 23
= 2645 Rs
Question no – (3)
Solution :
∴ Loss% = 18%, S.P = 287
∴ C.P = 100/100 – 18 × 87
= 100/82 × 287
∴ C.P = 350 Rs
Question no – (4)
Solution :
∴ Total C.P = 1200 + 650 = 1850, Loss % = 10%
∴ S.P = 100 – 10/100 × 1850
∴ S.P = 90 × 185/10
∴ S.P = 1664
Question no – (5)
Solution :
∴ Loss % = 15 %, S.P = 15300
∴ C.P = 100/100 – 15 × 15300
∴ C.P = 100/85 × 15300
∴ C.P = 18000
Question no – (6)
Solution :
∴ C.P = 180 – 30 = 150, Profit = 26%
∴ S.P = 100 + 26/100 × 150
∴ S.P = 120/100 × 150
∴ S.P = 189 Rs
Question no – (7)
Solution :
He bought 200 oranges
And 120 rupees for a score
∴ Total CP = (120 × 10)
= 1200
∴ 200 orange CP = 1200
∴ 1 orange CP = 1200/200
∴ 175 orange CP
= 1200 × 175/200
= 1050
∴ 25 are rotten left orange
= 200 – 25
= 175
∴ SP = 175 × 5 = 875
∴ C.P > S.P,
∴ Loss will be,
= 1200 – 875
= 325
∴ Loss%
= (325/1200 × 100)%
= 27 1/2%
Therefore, His loss percent will be 27 1/2%
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