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Profit and Loss

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Question
SSCCGLENQA12042247
Wired Faculty App

20% raise of price followed by a discount of 25% of the raised portion will

  • increase the price by 10%

  • decrease the price by 5%

  • increases the price by 15%

  • decrease the price by 15%

Solution

C.

increases the price by 15%

Let original cost of the object be ₹ 100.
If 20% raised in price, then cost of the object  = ₹ 120
Cost increased  = ₹ (120 - 100)
                       = ₹ 20
∴ Discount on increased cost
                        = 25% of 20
                        space equals space 25 over 100 cross times 20 space equals space ₹ space 5
∴        New cost = ₹ (120 - 5) = ₹ 115
Hence, 15% cost will be increased.

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Question
SSCCGLENQA12043268
Wired Faculty App

4% of the selling price of an article is equal to 5% of its cost price. Again 20% of the selling price is Rs. 120 more than 22% of its cost price. The ratio of cost price and selling price is

  • 2 : 3

  • 3 : 2

  • 4 : 5

  • 5 : 4

Solution

C.

4 : 5

Let the C.P. of article be Rs. x
Let the S.P. be Rs. y
therefore space space straight x space cross times space 5 over 100 space equals space straight y space cross times space 4 over 100 rightwards double arrow space space straight x over straight y space equals space 4 over 5

Question
SSCCGLENQA12042875
Wired Faculty App

60% of the cost price of an article is equal to 50% of its selling price. Then the percentage of profit or loss on the cost price is

  • 20% loss

  • 16 2 over 3 percent sign space profit

  • 20% profit

  • 10% loss

Solution

C.

20% profit

60% of CP = 50% of SP
6 CP = 5 SP
Profit space percent sign space equals space open parentheses Difference over Sold cross times space 100 close parentheses
          equals space open parentheses fraction numerator left parenthesis 6 minus 5 right parenthesis over denominator 5 end fraction cross times 100 close parentheses equals space open parentheses 1 fifth cross times 100 close parentheses space equals space 20 percent sign space profit

Question
SSCCGLENQA12042453
Wired Faculty App

A book seller allowed 10% discount on printed price. He gets 30% commission from publisher. His profit in percent will be

  • 20

  • 28 4 over 7

  • 25

  • 26 3 over 7

Solution

B.

28 4 over 7

Let the marked price of book be Rs. 100.
C.P. for the retailer = Rs. (100 - 30) = Rs. 70
S.P. for the retailer  = Rs. 90
∴  Profit per cent
equals space open parentheses fraction numerator 90 minus 70 over denominator 70 end fraction close parentheses cross times 100 equals space open parentheses 20 over 70 close parentheses space cross times 100 equals space 200 over 7 space equals space 28 4 over 7 percent sign

Question
SSCCGLENQA12042290
Wired Faculty App

A bookseller bought 500 text books for ₹ 20,000. He wanted to sell them at a profit so that he get 50 books free. At what profit percent should he sell them?

  • 10%

  • 20%

  • 15%

  • 10.5%

Solution

A.

10%

C.P. of 500 books  = ₹ 20,000/-
C.P. of 50 books = 20000 over 500 cross times 50
                        = ₹ 2,000/-
therefore    S.P. of 500 books = ₹(20,000 + 2000)/- = ₹ 22000/-
Gain = ₹(22000 - 20000)/- = ₹ 2000/-
Gain% = fraction numerator Gain over denominator straight C. straight P. end fraction cross times 100
          = 2000 over 20000 cross times 100 = 10%

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