Profit and Loss Questions and Answers

SP for Ravindra =\frac{150000\times105}{100}= Rs 157500
At a loss of 2% Yash sells the car to Ravindra
SP for Yash = \frac{157500\times98}{100} =Rs 154350
CP for Ravindra = Rs 154350
Gain of Ravindra = Rs (157500-154350) = Rs 3150

Let cost price =100
Then, profit =320
selling price =100+320=420

new cost price =125
profit =420−125=295

required percentage = \frac{295\times 100}{420} = \frac{1475}{21} % = 70%

 

. C.P =4700+800=5500
S.P =5800

Profit =5800−5500=300

Profit% = \frac{300\times100}{5500}= \frac{60}{11} %

Given that the shopkeeper bought 100 Kg at Rs. 14.50 per kilogram and 110 kilogram at Rs. 15 per kilogram.
Total C.P = (100 x 14.50) + (110 x 15) = 1450 + 1650 = Rs. 3100 and the
Total kilograms of rice = 100 + 110 = 210 KG
Now, total S.P= Total cost price + 16 % of total cost price
Total selling price = 3100 + (0.15 x 3100) = Rs. 3565
Thus, selling price per KG = 3565 / 210 = Rs. 16.97

We know that if two articles are sold at the same selling price, one at a gain of A% and one at the loss of A%, then the seller always incurs a loss of \left ( \frac{A}{10} \right )^{2}
Loss% = \left ( \frac{10}{10} \right )^{2} = 1 %

 

If loss is x%, then S.P = (100 - x) % of cost price

S.P = 4200 = (100-20)% of CP =\frac{80\times CP}{100}

∴ CP =\frac{4200\times 100}{80} = 5250

For profit = 20%, Selling Price = (100+20)% of CP =\frac{120\times 5250}{100}

∴ Selling Price = Rs. 6300

 

Total cost of rice = 150 x 35 + 190 x 50 = Rs 14,750/-
The SP = (100+15)% of 14750 = 115 x 14750 = Rs. 16962.5
Quantity = 150+190 = 340 Kg
Selling Price / Kg = Rs \frac{1996205}{340} = Rs 49.88/Kg

1 wind fan CP in first shop = Rs 1/6

1 wind fan CP in second shop = Rs 1/2

On mixing these 2 wind fans, the cost price of these 2 will be = \frac{1}{6} + \frac{1}{2} = Rs \frac{8}{12}

Cost Price of 1 wind fan = \frac{\frac{8}{12}}{2} = Rs \frac{8}{24}

The original price at which 1 wind fan is sold after combining = Rs 1/2

S.P - C.P = \frac{1}{2} - \frac{8}{24} = \frac{1}{6} It is positive; so it is profit

Hence the profit percentage = \frac{ \frac{1}{6}}{ \frac{8}{24}} \times 100 = 50%

SP = Rs 200

Profit = 20%

CP = ?

\frac{120\times CP}{100} = 200

CP = \frac{200\times 100}{120}

CP = 166.66

CP = Rs 200

Profit = 10%

SP = \frac{200\times 120}{100}

SP = Rs 240