Question 1

A shopkeeper who deals in books sold a book at 16% loss. Had she charged an additional Rs.60 while selling it , her profit would have been 14%. Find the cost price, in rupees, of the book ?

Accepted Answer

Let the C.P be 'x' Then, the selling price S.P = x - 16x/100 = 84x/100 = 21x/25 Now, if the S.P is 60 more, then the profit is 14% => 21x/25 + 60 = x + 14x/100 => 114x/100 - 21x/25 = 60 => (57 - 42)x/50 = 60 => 15x/50 = 60 x = 3000/15 = 200 Therefore, the Cost price C.P = x = Rs. 200

Question 2

Sambhu buys rice at Rs. 10/kg and puts a price tag on it so as to earn a profit of 20%. However, his faulty balance shows 1000 gm when it is actually 800 gm. What is his actual gain percentage ?

Accepted Answer

CP of 1000gm = Rs. 10 SP of 800gm = Rs. 12 SP of 1000gm =12x1000/800 = Rs. 15 Now take 1000gm as reference to calculate profit. Profit=SP-CP=15-10=Rs. 5 Profit % = 5x100/10 = 50%

Question 3

There are two shopkeepers, first shopkeeper calculates his profit percent on the selling price whereas the second shopkeeper calculates his profit percent on the cost price. If the selling price for both the shopkeeper is same and the difference bet…

Accepted Answer

Let the selling price for each of the shopkeeper be Rs 100x For 1st shopkeeper SP= Rs 100x CP=100

Question 4

In a certain Business, the profit is 220% of the cost. If the cost increases by 25% but the selling price remains constant, approximately what percentage of the selling price is the profit ?

Accepted Answer

Let C.P.= Rs. 100. Then, Profit = Rs.220, S.P. = Rs.320. New C.P. = 125% of Rs. 100 = Rs. 125 New S.P. = Rs.320. Profit = Rs. (320 - 125) = Rs. 195 Required percentage = 195 320 × 100 == 60.9 =~ 61%

Question 5

A shopkeeper sells two articles at Rs.1000 each, making a profit of 20% on the first article and a loss of 20% on the second article. Find the net profit or loss that he makes?

Accepted Answer

SP of first article = 1000 Profit = 20% CP = 100 100 + P × S P = 5000/6 = 2500/3 SP of second article = 1000 Loss = 20% CP = 100 100 - L × S P = 5000/4 = 1250 Total SP = 2000 Total CP = 2500 3 + 1250 = 6250/3 CP is more than SP, he makes a loss. Loss = CP-SP = (6250/3)- 2000 = 250/3 Loss Percent = 250 3 6250 3 × 100 = 4%

Question 6

A man sell 35 waffers for Rs. 15 each and loses Rs. 40.4. If he sells 35 waffers for Rs. 18, how much does he loss or gain ?

Accepted Answer

Given Loss = Rs. 40.4 We know loss = cost price - selling price 40.4 = CP - 35(15) => CP = 40.4 + 525 => CP = Rs. 565.4 Now the New selling price of waffer is Rs. 18 => SP = 35(18) = 630 Now Gain = SP - CP = 630 -565.4 = Rs. 64.6.

Question 7

A certain sum of money is invested for one year at a certain rate of simple interest. If the rate of interest is 3% higher, then the invest earned will be 25% more than the interest earned earlier. What is the earlier rate of interest ?

Accepted Answer

If the interest earned is 25% more than the earlier interest then the rate of interest also should be 25% higher than the earlier rate. Let the earlier rate of interest be x%. Now it will be (x + 3)% % increase = (x + 3) - x/x * 100 = 25 => x = 12%

Question 8

The price of an article has been reduced by 35%. In order to restore the original price the new price must be increased by ?

Accepted Answer

100 65 ------- 65 ------- 35 100 ------ ? => 53.84 %

Profit and Loss Questions