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- Question
- A merchant buys p apples for ? q and sells q apples for ? p. If p < q, then in the whole outlay, he makes.
Options- A. 10(p2 + q2/q2)% gain
- B. 100 (q2 - p2/q2)% loss
- C. 100 (p2 + q2/p2)% loss
- D. 100 (q2 - p2/p2)% gain
- Correct Answer
- 100 (q2 - p2/q2)% loss
ExplanationGiven,
CP of p apples = q
? CP of 1 apple = q/p
and SP of q apples = p
? SP of 1 apple = p/q
Given, p < q
? Loss = q/p - p/q = (q2 - p2) / pq
And Loss% = (Loss/CP) x 100
= {(q2 - p2)/pq} /(q/p)] x 100
= (q2 - p2)/q2 x 100
Therefore, when p < q , then the person had a loos which is given by
100 x (q2 - p2/q2)% loss. - 1. A dishonest dealer purchases goods at 20% discount of the cost price of Rs. x and also cheats his wholesaler by getting 20% extra through false weighing, per kg. Then he marks up his goods by 80% of x, but he gives a discount of 25% besides he cheats his customer by weighing 10% less than the required. What is his overall profit percentage?
Options- A. 125% 120%
- B. 100%
- C. 98.66%
- D. 120% Discuss
- 2. A trader marks up his goods by 80% and gives discount of 25%. Besides it he weighs 10% less amount while selling his goods. What is the net profit of trader?
Options- A. 50%
- B. 35%
- C. 45%
- D. 55% Discuss
- 3. Radhey Lal markup the prices of sweets by 40% and he sold only 40% of those at this price. He sells half of the rest at 14 2/ 4% discount and rest at 25% discount. What is the net profit of Radhey Lal?
Options- A. 26.5%
- B. 23.5%
- C. 30%
- D. 28.6% Discuss
- 4. Prathiba printers prepares diaries expecting to earn a profit of 40% by selling on the marked price. But during transportation 8% diaries were got spoiled due to at random rain and 32% could be sold only at 75% of the cost price. Thus the remaining 60% diaries could be sold at the expected price. What is the net profit or loss in the whole consignment?
Options- A. 6%
- B. 10%
- C. 8%
- D. can't be determined Discuss
- 5. Rotomac produces very fine quality of writing pens. Company knows that on average 10% of the produced pens are always defective so are rejected before packing. Company promises to deliver 7200 pens to its wholesaler at Rs. 10 each. It estimates the overall profit on all the manufactured pens to be 25%. What is the manufacturing cost of each pen?
Options- A. Rs. 6
- B. Rs. 7.2
- C. Rs. 5.6
- D. Rs. 8 Discuss
- 6. An article passing through two hands is sold at a profit of 40% at the original cost price. If the 1st dealer makes a profit of 20%, then the profit per cent made by the second is
Options- A. 151/3%
- B. 151/3%
- C. 162/3%
- D. 132/3% Discuss
- 7. A trader purchases a watch and a wall clock for ? 390. He sells them making a profit of 10% on the watch and 15% on the wall clock. He earnes a profit of ? 51.50. The difference between the original prices of the wall clock and the watch is equal to
Options- A. ? 110
- B. ? 100
- C. ? 80
- D. ? 120 Discuss
- 8. A merchant has 1000 kg of sugar, part of which he sells at 8% profit and the rest at 18% profit. He gains 14% on the whole. The quantity sold at 18% profit is
Options- A. 500 kg
- B. 600 kg
- C. 400 kg
- D. 640 kg Discuss
- 9. A dealer buys an article marked at ? 25000 with 20% and 5% off. He spends ? 2000 on its repair and sells it for ? 25000. What is his gain or loss per cent?
Options- A. 21% loss
- B. 10.50% loss
- C. 19.05% gain
- D. 25% gain Discuss
- 10. Cost of a packet of coffee powder and a litre of milk are ? 20 and ? 30 respectively. 10 cups of coffee is made with one packet coffee powder and for each cup 200 ml of milk is used. If coffee is sold at 25% profit, the selling price of each cup of coffee is
Options- A. ? 12.50
- B. ? 6.25
- C. ? 8
- D. ? 10 Discuss
Profit and Loss problems
Search Results
Correct Answer: 125% 120%
Explanation:
Let the actual cost price of an article be Rs.1 (in place of x)
Now the purchases goods worth Rs. 120 and pays Rs. 80, since 20% discount is allowed.
So the CP = 80/120 = 2/3
Again MP = 180, SP = 135 (since 25% discount)
Thus the trader sells goods worth Rs.90 instead of 100 g and charges Rs. 135. Therefore the effective SP = 135/90 = 3/2
Therefore Profit (%) = [(3/2 - 2/3 ) / (2/3)] x 100 = 125%
Correct Answer: 50%
Explanation:
Consider actual price of 1 g goods = Re. 1.
He sells the product equals to Rs. 90 only (10% less weighing)
Again MP = Rs.1.8 and SP = 1.35 for 1 g.
Thus he gives the goods worth Rs. 90 and charges Rs. 135 after 25% discount.
Thus the profit % = [(135 - 90) / 90 ] x 100
= 50%
Correct Answer: 23.5%
Explanation:
Let the number of the sweets be 100 and the cost price of the one piece of sweet = Re.1
Then, total cost price = 100 x 1 = Rs. 100
Total sale price = (40 x 1.4) + (30 x 1.2) + (30 x 1.05) =123.5
? Profit (%) = 123.5 - 100 = 23.5%
Correct Answer: 8%
Explanation:
Let the numbers of diaries (produced) be 100 and the cost price of a diary be Rs. 1 then
Total cost incurred = 100 x 1 = 100
Total sale price = 32 x 0.75 + 60 x 1.4 = 108
Therefore profit = Rs. 8
Thus there is 8% profit.
Note : Marked price (i.e. expected) = 40% above the cost price.
Correct Answer: Rs. 7.2
Explanation:
You must know that the company is able to deliver only 90% of manufactured pens. So let k be the manufacturing price of a pen, then
Total income (including 25% profit) = 8000 x k x 1.25
Also this same income is obtained by selling 90% manufactured at Rs.10 which is equal to 7200 x 10.
Thus 8000 x K x 1.2 = 7200 x 10
? K = Rs. 7.2 ( 90% of 8000 = 7200)
Correct Answer: 151/3%
Explanation:
Let CP = ? 100
Then, SP = ? 140
Let the profit made by the 2nd dealer = N%
Then, (100 + N)% of 120% of ? 100 = ? 140
? [(100 + N)/100 x (120/100) ] / 100 = 140
? 6(100 + N) = 700
? 600 + 6N = 700
? 6N = 100
? N = (100/6)% = (50/3) %
= 162/3
Correct Answer: ? 110
Explanation:
Let cost price of a wall clock = ? N
? Cost price of a watch = ? (390 - N)
According to the question,
{(N x 10)/100} + {(390 - N) x 15}/100 = 51.50
? 390 x 15 - 5N = 51.50 x 100
? 5N = 5850 - 5150 = 700
? N = 700/5 = 140
? Required difference = (390 - N) - N
= 390 - (2 x 140)
= 390 - 280 = 110
= ? 110
Correct Answer: 600 kg
Explanation:
Let the sugar sold at 8% gain = P
? Sugar sold at 18% gain = (1000 - P)
Let CP of sugar = ? Q per kg
Total CP = ? 1000 x Q
? [(108/100) x PQ)] + [(118/100) x (1000 - P) x Q]
= (114/100) x 1000 Q
? 108PQ + 118000Q - 118PQ = 114000Q
? 10P = 4000
? P = 400
? Quantity sold at 18% profit = 1000 - 400 = 600 kg
Correct Answer: 19.05% gain
Explanation:
Total CP = (95% of 80% of ? 25000) + (2000)
= (95/100) x (80/100) x 25000 + 2000
= 19000 + 2000 = ? 21000
? CP = ? 21000 and SP = ? 25000
? Gain = 25000 - 21000 = ? 4000
? Gain % = (4000/21000) x 100% = 400/21%
= 19.05% (approx.)
Correct Answer: ? 10
Explanation:
Cost of coffee powder used in one cup = 20/10 = ? 2
Cost of milk used in one cup = (30/1000) x 200 = ? 6
? Cost of each cup coffee = 2 + 6 = ? 8
To gain 25% profit, sale price of each cup of coffee = 125% of 8 = ? 10
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