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
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%