Math, asked by acidicacid, 16 days ago

let me make one thing clear, if you don't answer my question and just write hi and stuff ima report you cause this is 20 points and I don't want to waste it pls understand thank you :)
1. A man bought two T.V. sets for Rs 42500. He sold one at a loss of 10% and other at a
profit of 10%. If the selling price of each T.V. set is same, determine the C.P. of each set.
2. If a man were to sell his hand-cart for Rs 720, he would lose 25%. What must he sell it
for to gain 25%?
3. A man sold two articles at Rs 25920 each. These were sold at 8% gain and 4% loss
respectively. Find the gain or loss percent in the whole transaction.
4.By selling a stool for Rs 67.50, a carpenter loses 10%. How much percent would he gain
or lose by selling it for Rs 82.50?

Answers

Answered by Anonymous
1

Answer:

1. CPof First set = Rs. 19125, ​CPof Second set = Rs. 23375

2. Rs.1200

3. 1.64%

4. 10%

Step-by-step explanation:

Q1) Given in question,

  • The total cost of 2 TV sets = Rs. 42500

​Let the cost of the First TV set be x

Cost of second TV set = Rs. (42500-x)

The selling price of the First TV set is

  • SP₁ = x + 10% of x
  • SP₁ = 110x/100

The selling price of the second TV set is

  • SP₂ = (42,500 - x) - 10% of (42,500 - x)
  • SP₂ = 90(42,500 - x)/100

Given, SP₁ = SP₂

110x/100 = 90(42,500 - x)/100

11x = 9(42,500 -x)

11x = 3,82,500 - 9x

11x + 9x = 3,82,500

20x = 3,82,500

x = 3,82,500/20

x = 19,125

Cost Price of First set = Rs. 19125

​Cost Price of Second set = Rs. 23375

Q2) We have,

SP of the cart =Rs.720

Loss =25%

∴CP= [( 100​/100 - L%) × SP]

⇒CP=Rs.[(100/ 100−25)×720]= (100/75) ×720

=Rs.( 4/3 ×720)=Rs.960

Gain needed =25%

∴SP=  (100+Gain percent/100 )×CP

⇒SP= Rs. ((100+25/100) ×960)

=Rs.((125/100) ×960)

=Rs.(45 ×960)

=Rs.1200

Q3)  Cp for 1st article

  • = 25920 × (100/100 +8)
  • = Rs. 24000

Cp for 2nd article

  • = 25920 × (100/100-4)
  • = Rs. 27000

Profit in first article

  • = 25920-24000
  • = Rs. 1920

Loss in second article

  • = 27000-25920
  • = Rs. 1080

Profit > Loss

Profit Percent

  • = (1920-1080/24000+27000)×100
  • = 840/ 51000×100 =1.64%

Q4)

CP of stool

  • = 67.50×100/(100-10)
  • = 6750/90
  • = 675/9
  • = 75

Of he sold it on 82.50 then gain would be

  • 82.5 - 75
  • = 7.5

gain % would be

  • = 7.5/75×100
  • = 10%

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