| 1. A retailer buys a product from a wholesaler for Rs. 900. He puts a mark-up of 30% on this. A buyer bargains a 10% discount on this. Find the price which the buyer pays. | Easy |
| A. Rs. 1000 B. Rs. 1287 C. Rs. 1053 D. None of these |
View Answer
Answer: Option C
Explanation:
CP for retailer = Rs. 900
MP = CP + % Mark-up (calculated on CP) = 900*1.3 = 1170
The price which the buyer pays is the selling price for the retailer.
SP = MP – % Discount = 1170* 0.9 = 1053
| 2. P marks up an article by 30% and sells it at a discount of 20% to Q. Q marks up the price of the article to a certain amount which happens to be 20% more than P’s cost price. What is the maximum discount Q can offer without going into loss? | Medium |
| A. 10% B. 15% C. 20% D. None of these |
View Answer
Answer: Option D
Explanation:
Let P’s CP be 100
-> MP = CP + % Mark-up (calculated on CP) = 100*1.3 = 130
SP = MP – % Discount = 130*0.8 = 104
Q’s MP = 100*1.2 = 120
Max discount which Q can give = 120 – 104 = 16
% Discount = (Discount/MP) * 100 = (16/120)*100 = 13.33%
| 3. When a discount of 10% is given on the market price, a profit of 30% is made. What will be the profit % age when a discount of 30% is given on the list price? | Easy |
| A. 1.11% B. 2.22% C. 3.33% D. None of these |
View Answer
Answer: Option A
Explanation:
Let MP = Rs. 100
-> SP = MP – % Discount = 100*0.9 = Rs. 90
Now, CP = 100 SP/(100+Profit%) = 100*90/(100*1.3) = 90/1.3 = 69.23
When 30% discount is given on MP, SP = 100*0.7 = 70
Therefore, profit % = (70-69.23)/(69.23)*100 -> 1.11%
| 4. A trader loses 40% by selling an article at 32 units for Rs. 1000. How much should be the selling price of 96 units to gain 20%? | Easy |
| A. Rs. 3000 B. Rs. 5000 C. Rs. 6000 D. None of these |
View Answer
Answer: Option C
Explanation:
SP of 32 units = Rs. 1000
SP of 96 units = (1000/32) * 96 = Rs. 3000
Then, CP of 96 units = SP/0.6 = Rs. 3000/0.6 = Rs. 5000
If he gains 20%, then new SP for 96 units = CP*1.2 = 5000 *1.2 = Rs. 6000
| 5. P sold two articles to Q, X and Y, for Rs. 990 each, X at a loss of 10% and Y at a gain of 10%. Q sold those articles to R, to gain 10% on X and lose 10% on Y. R sold the articles to S to gain 10% on the overall transaction. What was the total amount paid by S? | Medium |
| A. Rs. 2178 B. Rs. 1980 C. Rs. 1089 D. None of these |
View Answer
Answer: Option A
Explanation:
CPX for P (loss of 10%) = 990/0.9 = 1100
CPY for P (profit of 10%) = 990/ 1.1 = 900
SPX for Q (profit of 10%) = 990 * 1.1 = 1089
SPY for Q (loss of 10%) = 990 * 0.9 = 891
Total SP for Q = 1089 + 891 = 1980
Now, SP for Q is the CP for R = 1980
SP for R = 1980 * 1.1 = 2178
-> CP for S = 2178
| 6. A profit of 30% is made on goods when a discount of 9% is given on the list price. If a discount of 30% is given on the list price, the profit will be: | Easy |
| A. 3% B. 5% C. 20/3% D. None of these |
View Answer
Answer: Option D
Explanation:
Let the list or marked price be MP = 100
SP = MP – % Discount = 100*0.91 = 91
CP = 91/1.3 = 70
Now, if a discount of 30% is given on MP, then new SP = 100*0.7 = 70
Thus, CP = SP, and there is no profit.
| 7. When a discount of 20% is given on product P being sold at a profit of 30%, the number of units sold triples. What is the ratio of the earlier profit to the present profit? | Medium |
| A. 2:5 B. 5:2 C. 4:3 D. None of these |
View Answer
Answer: Option B
Explanation:
Let the CP of a unit of P be 100
-> SP per unit = 100*1.3 = 130
Profit per unit = SP – CP =130 – 100 = 30
Profit for x units = P1 = 30x
After discount of 20%, SP per unit = 130*0.8 = 104
-> Profit per unit = 104-100 = 4
-> Since sale triples, the number of units sold = 3x, and total profit now = P2 = 4*3x = 12x
Ratio = P1 / P2 = 30x/12x =5: 2
| 8. A packet of pulses contains 20% less than the labelled weight. If the packet is sold at a discount of 10%, how much more, as a percentage by weight, should be received to get the correct weight of pulses (at the labelled price) for the money paid by the consumer? | Difficult |
| A. 10.5% B. 12.5% C. 15.5% D. None of these |
View Answer
Answer: Option B
Explanation:
Let the labelled weight of pulses be 100 gm.
Let the labelled price of pulses of 100 gm be Rs. 100
Amount of pulses in packet = 80 gm (20% less)
Price paid by consumer = Rs. 90 (10% discount)
Quantity to be received for 90 Rs = 90 gm
But he received 10 gm less.
Therefore, 10 gm to be added -> Desired % = (10/80)*100 = 12.5%
| 9. A person bought 100 articles. He sells 10% of the articles and makes a profit of Rs. 1500, which is also equal to the cost of 5 articles. What is the value of the remaining articles at the selling price? | Medium |
| A. Rs. 45000 B. Rs. 40500 C. Rs. 30000 D. None of these |
View Answer
Answer: Option B
Explanation:
He sells 10% of 100 = 10 articles
Now, Profit = CP of 5 articles = CP5 = 1500
-> CP of 1 article = CP1 = 1500/5 = 300
-> CP of 10 articles = 300*10 = 3000
-> SP of 10 articles = SP10 = 3000+1500 = 4500
-> SP1 = 4500/10 = 450
Value of remaining articles = 90 * 450 = Rs. 40500
| 10. A trader always weighs 25% less than the correct weight. One day, he weighed 25% more than the quantity usually weighed by him. If the profit on the correct weight is 25%, what is his gain? | Difficult |
| A. 21.67% B. 33.33% C. 15.67% D. None of these |
View Answer
Answer: Option B
Explanation:
Let the correct weight be 100 kg and its CP be Rs. 100 @ Rs1/kg
Profit on correct weight is 25% -> SP = 125
If the weight is 25% less, then he gives 100*0.75 = 75 kg
25% more than 75 = 75*1.25 = 93.75 kg
So, 93.75 kg is sold for 125
But 93.75 kg is bought for Rs. 93.75
-> Profit = ((125-93.75)/93.75)*100 = 33.33%