## 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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