A man sells two houses for Rs 2 lakh each

Option (b) is correct

Explanation – Let the C.P of the article be Rs. x
Then required ratio = 108% of x / 104% of x = 108/104= 27:26

2. A man sells two flats at the rate of Rs. 2 lakhs each. On one he gains 3% and on the other, he loses 3%. His gain or loss % in the whole transaction is

A. 9% loss B. 2% loss C. 3% loss

D. 25% loss

Option (a) is correct

Explanation – Loss% = X^2/100=(3)^2/100 %  =0.09%

3. A man sells two flats for Rs. 8000 each. neither loosing nor gaining in the deal. If he sold one at a gain of 25%, the other commodity sold at a loss of:

A. 50/3 % B. 18 /3% C. 25%

D. 32%

Option (a) is correct

Explanation – Total S.P = 16000 Rs. and Total C.P = 16000 Rs. S.P. of Ist = Rs. 8000. Gain on it = 25% C.P of Ist = Rs. (100/125 x 8000) = Rs.6400 C.P of 2nd = Rs, (16000 – 6400) = Rs. 9600. S.P of 2nd = 8000.

∴loss on 2nd commodity = (1600/9600 x 100)% = 50/3%

4. A house and shop were sold for Rs. 1 lakh each. In this transaction the house sell resulted into 20% loss whereas the shop sell resulted into 20% of profit. The entire transaction resulted in:

A. no loss no gain B. loss of Rs 1/12 lakh C. loss of Rs 4lakh

D. gain of Rs 6lakh

Option (b) is correct

Explanation – Total S.P = Rs. 2 lakh. C.P of house = Rs. (100/80 x 1)lakh = Rs 5/4 lakh C.P of shop = Rs. (100/120 x 1)lakh = Rs. 5/6 lakh Total C.P = Rs. (5/4 + 5/6)lakh = Rs. 25/12 lakh

∴ loss = Rs.(25/12 – 2)lakh = Rs. 1/12 lakh.

5. Reshma purchased 120 chairs at price of Rs. 110 per chair. He sold 30 chairsat a profit of Rs. 12 per chair and 75 chairs at profit of Rs. 14 per chairs. The remaining chairs were sold at a loss of Rs. 7 per chairs. What is the average profit per table?

A. Rs 10.56 B. Rs 10.87 C. Rs 12.123

D. Rs 12.67

Option (b) is correct

Explanation – Total C.P = Rs. (120 x 110) =Rs. 13200. Total S.P = Rs.[(30 x 110 + 30 x 12) + (75 x 110 + 75 x 14) + (15 x 110 – 15 x 7) =Rs..14505

Average profit = Rs. (14505 – 13200) /120 = Rs. 1305/120= 10.875

Discuss below to share your knowledge

Pages: 1 2 3 4 5 6 7

A profit or loss is the difference between the cost price and the selling price. If the cost price is more than the selling price, then the transaction results in a loss, whereas if the selling price is more than the cost price then the transaction results in a profit.

Answer:  A man who sells two houses at the rate of rupees 1.95 lacs each, gaining 5% and on one and loosing 5% on the other faces a loss percent in the whole transaction which is 0.25%.

A profit% or loss% is calculated always on the cost price, that is Profit% or Loss% = (Profit or Loss)/CP × 100

Explanation:

For his first house:

Selling price = Rs 1.95 lacs = Rs 1,95,000

Gain% = 5%

Now we know, CP + P% of CP = SP      (P% = gain%)

or, CP + 5% of CP = 1,95,000

or, CP + (5/100) × CP = 1,95,000

or, 105CP/100 = 1,95,000

or, CP = 1,95,000 × 100/105

For his second house:

Selling price = Rs 1.95 lacs = Rs 1,95,000

Loss% = 5%

Now we know, CP - L% of CP = SP            (L% = Loss%)

or, CP - 5% of CP = 1,95,000

or, CP - (5/100) × CP = 1,95,000

or, 95CP/100 = 1,95,000

or, CP = 1,95,000 × 100/95

For the whole transaction:

Total selling price = Selling price of the first house + selling price of the second house =  Rs 1,95,000 + Rs 1,95,000 = Rs 3,90,000

Total cost price = cost price of the first house + cost price of the second house =  1,95,000 × 100/105 + 1,95,000 × 100/95

= 195000 × 100 × (1/105 + 1/95)

= 19500000 × (1/105 + 1/95)

= 19500000 × (19/1995 + 21/1995)

= 19500000 × 40/1995

= 780000000/1995 ≈ 390977.443

Since CP > SP, therefore, the overall transaction resulted in a loss.

Loss% = (CP - SP)/CP × 100

or, Loss% = (390977.443 - 390000)/390977.443 × 100

= 977.443/390977.443 × 100

= 0.002499 × 100 ≈ 0.25%

Therefore, the loss percent in the whole transaction is 0.25%.

Answer: Option C

Explanation:

loss percent $=\left(\dfrac{5}{10}\right)^2=0.25\%$

5% =1/20Means When profit                  Cp                 sp                  20                 21 When loss                  20                 19But the selling price is same thn make it same20×19           21×1920×21            19×21Add cp and sp800                798Loss=2

That is .25%

another method

S.P. of house 1 = 1.995 lacs

S.p. of huouse 2 = 1.995 lacs

given gain of 5% on house 1 and loss of 5% o house 2

So 

C.p. of house 1 = 100/100+5*1.995

= 1.9 Lacs

C.P. of House 2 = 100/100-5* 1.995

=2.1 Lacs

total C.P. 1.9+2.1 = 4 Lacs

Total S.P. 3.99 Lacs

so its a loss

now Loss%=  4-3.99/4*100

= .01*25

=0.25% ................. Answer

But try to remember the formula as you can save time for such quesions

(use Q&A for new questions)

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