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Answers
Answer:
(a) Selling price is ₹330 and Profit is ₹30.
(b) Cost price is ₹411.76 and Loss is ₹60.24.
(c) Selling price is ₹944 and Profit percentage is 5.25%.
(d) Cost price is ₹920 and Loss percentage is 6.52%.
(e) Selling price is ₹440 and Loss percentage is 15.38%.
(f) Loss is ₹500 and Loss percentage is 33.33%.
Explanation:
(a) Let the SP be ₹x.
CP = ₹300
Profit percentage = 10%
SP = ₹{(100+gain%)/100 × CP}
= ₹{(100+10)/100 × 300}
= ₹{110/100 × 300}
= ₹{110 × 3}
= ₹330
Profit = ₹(330-300) = ₹30
Therefore, Selling price is ₹330 and Profit is ₹30.
(b) Let the CP be ₹x.
Loss percentage = 15%
Loss = ₹(CP × Loss%/100)
= ₹(x × 15/100)
= ₹(x × 3/20)
= ₹3x/20
SP = ₹(CP-Loss) = ₹(x - 3x/20) = ₹(20x-3x/20)
= ₹17x/20
CP = 17x/20 = 350
= 17x = 350 × 20 = 7000
= x = 7000/17 = ₹411.76
Loss = ₹(CP-SP) = ₹(411.76-350) = ₹60.24
Therefore, Cost price is ₹411.76 and Loss is ₹60.24.
(c) CP = ₹894
Profit = ₹50
SP = ₹(CP+Profit) = ₹(894+50) = ₹944
Profit percentage = (Profit/CP × 100)%
= (50/944 × 100)%
= (50/238 × 25)%
= (1250/238)%
= (625/119)% = 5.25%
Therefore, Selling price is ₹944 and Profit percentage is 5.25%.
(d) SP = ₹860
Loss = ₹60
CP = ₹(SP+Loss) = ₹(860+60) = ₹920
Loss percentage = (Loss/CP × 100)%
= (60/920 ×100)%
= (60/46 × 5)%
= (300/46)%
= (150/23)% = 6.52%
Therefore, Cost price is ₹920 and Loss percentage is 6.52%
(e) CP = ₹520
Loss = ₹80
SP = ₹(CP-Loss) = ₹(520-80) = ₹440
Loss percentage = (Loss/CP × 100)%
= (80/520 × 100)%
= (80/26 × 5)%
= (400/26)%
= (200/13)% = 15.38%
Therefore, Selling price is ₹440 and Loss percentage is 15.38%.
(f) CP = ₹2000
SP = ₹1500
Loss = ₹(CP-SP) = ₹(2000-1500) = ₹500
Loss percentage = (Loss/CP × 100)%
= (500/1500 × 100)%
= (500/15)%
= (100/3)% = 33.33%
Therefore, Loss is ₹500 and Loss percentage is 33.33%.