Aptitude :: Profit And LossPage 2
9.  A dishonest dealer professes to sell his goods at cost price but uses a weight of 960 gms for a kg weight. Find his gain percent.  (a)41/6%  (b)61/6%  (c)31/6%  (d)51/6% 

Answer is: AGain % = [{Error/(True Value) (Error)} x 100]%
(40/960 x 100)% = 41/6%
10.  If the manufacturer gains 10%, the wholesale dealer 15% and the retailer 25%, then find the cost of production of a table, the retail price of which is Rs 1265?  (a)600  (b)700  (c)800  (d)900 

Answer is: CLet the cost of production of the table be Rs x
Then, 125% of 115% of 110% of x = 1265
125/100 X 115/100 X 110/100 X x = 1265
253/160 x = 1265
x = Rs. 800
11.  Monika purchased a pressure cooker at 9/10th of its selling price and sold it at 8% more than its SP. Find her gain percent.  (a)16%  (b)17%  (c)18%  (d)19% 

Answer is: CLet the SP be x
Then CP = Rs 9x/10
Receipt = 108% of Rs x = Rs 27x/25
Gain = Rs (27x/25  9x/10) = Rs [(108x  90x/100)]
Gain = Rs (18x/100)
Gain % = (18x/100 X 10/9x X 100)%
Gain % = 20%
12.  A tradesman sold an article at a loss of 20%. If the selling price had been increased by Rs 100, there would have been a gain of 5%. What was the cost price of the articles?  (a)400  (b)500  (c)600  (d)700 

Answer is: BLet CP be Rs x
Then, (105% of x)  (80% of x) = 100
or 25% of X = 100
∴ x/4 = 100
= 400
So, CP = Rs 400
13.  The price of a jewel, passing through three hands, rises on the whole by 65%. If the first and the second sellers earned 20% and 25% profit respectively, find the percentage profit earned by the third seller.  (a)8%  (b)9%  (c)10%  (d)11% 

Answer is: CLet the original price of the jewel be Rs. P and Let the profit earned by the third seller be x%
Then, (100 + x)% of 125% of 120% of P = 165% of P.
⇒ [(100 + x)/100 X 125/100 X 120/100 X P] = [165/100 X 100]
⇒(100 + x) = [165 X 100 X 100/125 X 100/120]
⇒(100 + x) = 110 = 10%
14.  A man sold two flats for Rs 6,75,958 each. On one he gains 16% while on the other he loses 16%. How much does he gain or lose in the whole transaction?  (a)1.56%  (b)2.56%  (c)3.56%  (d)4% 

Answer is: BIn such case, there is always a loss . The selling price is immaterial.
∴ Loss % = [(common loss and Gain% )/10]^{2}
Loss % = (16/10)^{2}
Loss % = (64/25)% = 2.56%
15.  A dealer sold three fourth of his articles at a gain of 20% and the remaining at cost price. Find the gain earned by him in the whole transaction.  (a)12%  (b)13%  (c)14%  (d)15% 

Answer is: DLet CP of whole be Rs x.
CP of 3/4th = Rs 3x/4
CP of 1/4th = Rs x/4
∴ Total SP = Rs [(120% of 3x/4) + x/4]
Rs (9x/10 + x/4) = Rs 23x/20
Gain = Rs (23x/20  x) = Rs 3x/20
∴ Gain % = (3x/20 X 1/x X 100)%
∴ Gain % = 15%
16.  A man bought a Horse and a Carriage for Rs 3000. He sold the Horse at a gain of 20% and the Carriage at a loss of 10%, thereby gaining 2% on the whole. Find the cost of horse  (a)1200  (b)1300  (c)1400  (d)1500 

Answer is: ALet the CP of the horse be Rs x
Then CP of the Carriage = Rs (3000  x)
∴ 20% of x 10% of (300  x) = 2% of 3000
⇒ x/5  (3000  x)/10 = 60
⇒ 2x  3000 + x = 600
⇒ 3x = 3600
∴ x = 1200
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