A merchant sold his goods for Rs. 75 at a profit percent equal to C.P. The C.P.

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Question
A merchant sold his goods for Rs. 75 at a profit percent equal to C.P. The C.P. was?
Options
A. Rs. 40
B. Rs. 50
C. Rs. 60
D. Rs. 70

Correct Answer

Rs. 50

Explanation

Let C.P. = Rs. x
? x + x% of x = 75
? x + x² / 100 = 75
? x² + 100 x - 7500 = 0
? (x + 150)(x - 50) = 0
? x = 50

Profit and Loss problems

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1.
An article is sold at a certain prices. By selling it at 2/3 of that price one loses 10%. The gain percent at original price is?
Options
A. 20%
B. 331/3%
C. 35%
D. 40%

2.
A owns a house worth Rs. 10000. He sells it to B at a profit of 10% based on the worth of the house B sell the house back to A at a loss of 10%. In this transaction A gets?
Options
A. No profit no loss
B. Profit of Rs . 1000
C. Profit of Rs . 1100
D. Profit of Rs . 2000

3.
Ram bought 4 dozen apples at Rs. 12 per dozen and 2 dozen apples at Rs. 16 per dozen. He sold all of them to earn 20%. At what price per dozen did he sell the apples?
Options
A. Rs. 14.40
B. Rs. 16.00
C. Rs. 16.80
D. Rs. 19.20

4.
A sold a watch at a gain of 5% to B and B sold it to C at a gain of 4%. If C paid Rs. 91 for it, then the price paid by A is?
Options
A. Rs. 82.81
B. Rs. 83
C. Rs. 83.33
D. None of these

5.
Tarun bought a T.V. with 20% discount on the labelled price had he bought it with 25% discount he would have saved Rs. 500. At what price did he buy the T.V.?
Options
A. Rs. 5000
B. Rs. 10000
C. Rs. 12000
D. None of these

6.
A horse and a cow were sold for Rs. 12000 each. The horse was sold at a loss of 20% and the cow at a gain of 20%. The entire transaction resulted in?
Options
A. No loss or gain
B. Loss of Rs . 1000
C. Gain of Rs.. 1000
D. Gain of Rs. 2000

7.
A man sells a car to his friend at 10% loss. If the friend sells it for Rs. 54000 and gains 20%, the original C.P. of the car was?
Options
A. Rs. 25000
B. Rs. 37500
C. Rs. 50000
D. Rs. 60000

8.
A man purchased sugar worth of Rs. 400 he sold (3 / 4)th at a loss of 10% and the remainder at a gain of 10%. on the whole, he gets?
Options
A. A loss of 5%
B. A gain of 51/19
C. A loss of 51/19
D. A loss of 55/19

9.
Bhajan Singh purchased 120 reams of paper at Rs. 80 per reams. He spent Rs. 280 on transportation paid octroi at the rate of 40 paise per ream and paid Rs. 72 to the coolie. If he wants to have a gain of 8%. what must be the selling price per ream?
Options
A. Rs. 86
B. Rs. 87.48
C. Rs. 89
D. Rs. 90

10.
A shopkeeper sells (3/4) ^th of its articles at a gain of 20% and the remaining at C.P. His real gain in the transaction is?
Options
A. 10%
B. 15%
C. 20%
D. 25%

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