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Sample questions for Placement Papers – Solved Problems 1 A vendor bought 6 toffees for a rupee. How many for a rupee he must sell to ...

# Model questions for TCS NQT 2021 New Pattern - Profit and Loss -2

Sample questions for Placement Papers – Solved Problems 1
A vendor bought 6 toffees for a rupee. How many for a rupee he must sell to gain 20 %?
a)5                        b)4                        c)3                         d)2
Explanation: Vendor bought 6 toffees for a Re 1.
CP of 1 toffee 100% = Rs $\frac{1}{6}$
To get 20% gain , the SP=>100% + 20% => $\frac{1}{6 X 100} \times$ 120% = X 120

=$\frac{1}{5}$
So 5 toffees must be sold for a rupee to get 20% gain

Sample questions for Placement Papers – Solved Problems 2
A television set listed at Rs. 3200 is sold to retailer at successive discounts of 25% and 15%. The retailer derives a profit of 20% of his cost price after allowing 10% discount to the customer. At what price did he list the television set?
a)Rs 2500               b)Rs 2720               c)Rs 2445\8             d)Rs 2040
Explanation: The List price of the TV= Rs 3200
The TV is sold to the retail at 2 successive discounts of 25% and 15%

Retailer's cost price= $3200\times\frac{100-25}{100} \times\frac{100-15}{100}= 3200\times\frac{75}{100}\times\frac{85}{100} = Rs 2040$

price at profit of 20% for retailer=2040$\times\frac{120}{100}=2448$
Let list price of tv=LP and 10% discount allowed
(100-10)% of LP=2448
=> LP $\times\frac{90}{100}$ =2448
=>LP=2448$\times\frac{100}{90}$=2720

Sample questions for Placement Papers – Latest Pattern Question 3
A retailer buys 40 pens at a marked price of 36 pens from a wholesaler. If he sells these pens giving a discount of 1%, what is his profit percent?
a)12 %         b)10%                    c) 15 %    d). 16 %
Explanation:
Let the marked price of each pen be Re. 1.
Then, C.P. of 40 pens = Rs. 36.
After offering 1% discount on the marked price, S.P. of 40 pens = 99% of Rs. 40
= Rs. 39.60.
Profit = SP –CP = RS 39.6- 36 = 3.6

=> Profit% = $[\frac{3.6}{36}\times100 ]$%
= 10%.

Sample questions for Placement Papers – Latest Pattern Question 4
A person brought two clocks. the cost price of one of them exceeds the cost of the other by 1/4th. He sold the dearer one at a gain of 10 %, on the other at a gain of 7.5% and thus got Rs 98 in all as S.P. Find the cost Price of the cheaper one.
a) Rs 30                  b) Rs 35                  c) Rs 40                  d) Rs 50
Explanation: Let CP of a cheaper clock be C
The cost price of dearer one exceeds the cost of the cheaper one by 1/4th.
Then cost price of dearer becomes $\frac{5C}{4}$
Cheaper once C sold at 7.5% profit and Dearer one sold at 10% gain
Total SP of two clocks = Rs 98
=>$C\times\frac{107.5}{100}\,+\frac{5C}{4}\,\times\frac{110}{100}=98$
=> 430 C + 550 C = 98 x 400
=> C=40
Cost price of the cheaper one = Rs 40

TCS Placement Papers – Latest Pattern Question 5
A man buys a cycle for Rs. 1400 and sells it at a loss of 15%. What is the selling price of the cycle?
a) Rs. 1090             b) Rs. 1160     c)   Rs. 1190           d) Rs. 1202
Explanation:  Cost price of cycle is Rs 1400
The cycle is sold at a loss of 15%
Selling price = Cost price x $\frac{100-loss\%}{100}$= Rs 1400 x  $\frac{100-15}{100}$

= Rs 1400 x$\frac{85}{100}$   =Rs 1190

Sample questions for Placement Papers – Latest Pattern Question 6
If on an item a company gives 25% discount, they earn 25% profit. If they now give 10% discount then what is the profit percentage.
a) 40%         b) 50%         c) 35%          d) 30%
Explanation: L
et the Marked price be Rs 100
After giving a 25% discount,  the selling price is = Rs 75
On selling it for Rs 75, they earn 25% profit
$\frac{125}{100}\times$ CP = 75
ð  CP= Rs 60
If the discount is 10% => Then sell price is 100 x $\frac{90}{100}$ =  Rs 90
Cost price is Rs 60 and sell price is Rs 90
Profit % = $\frac{SP-CP}{CP}\times$ 100
= $\frac{90-60}{60}\times$100%
Profit %= 50%

Sample questions for Placement Papers – Latest Pattern Question 7
Eesha has a wheat business. She purchases wheat from a local wholesaler of a particular cost per pound. The price of the wheat of her stores is $3 per kg. Her faulty spring balance reads 0.9 kg for a KG. Also in the festival season, she gives a 10% discount on the wheat. She found that she made neither a profit nor a loss in the festival season. At what price did Eesha purchase the wheat from the wholesaler? a)$ \ 2.5            b)$\$ $2.43 c)$ \2.52                  d)$\$ $2.7 Answer : B Explanation : Faulty spring balance reads 0.9 kg for a kg" means that she sells 1 kg for the price of 0.9 kgs, so she loses 10% of the price because of the faulty spring balance. She loses another 10% because of the discount. Because of faulty balance 10% loss and due to discount another 10% reduction is there in the price So, she actually sells 1 kg for$3×0.9×0.9=$2.43 Since at that price she made neither a profit nor a loss, then Eesha purchase the wheat from the wholesaler for$2.43.

Sample questions for Placement Papers – New Pattern Question 8
A cost of an article (including wages and raw materials) is 18. If the cost prize is three times of the raw material and the raw material is increased as 3:7 and the wages increased as 4:9 then what is the new cost of the article?
a)Rs 35                   b)Rs 27                   cc)Rs 41                 d)Rs 52
Explanation: Let R be the raw materials price and W be the wages
Cost price(including wages and raw materials) W + R  = 18  --(i)
Given cost price is 3 times of the raw material = W + R = 3R
=>W=2R
Substituting it in (i), we get R = 6 and W= 12
Now the raw material is increased as 3:7 =>
New Cost of Raw material = 6 x $\frac{7}{3}$ =Rs 14
Wages are increase as 4 : 9 => New wages are => Rs 12 x $\frac{9}{4}$ =Rs 27
New cost of the article = New cost of Raw material + New wages

= Rs 14 + Rs 27 = Rs 41

Sample questions for Placement Papers – New Pattern Question 9
A grocer bought 24 kg coffee beans at price x per kg. After a while one-third of stock got spoiled so he sold the rest for $200 per kg and made a total profit of twice the cost. What must be the price of x? a)$ \25.5                   b)$\$ $44.44 c)$ \35.75                 d)$\$ $42.5 Answer B Explanation: Total cost price of 24kg coffee = 24x 1/3 of the stock got spoiled, so the remaining stock is 2/3 The remaining stock is 24 x 2/3 =16kgs These 16kgs are sold for$\200 per kg => Total sell price = 16 x $\$ $200 =$ \ 3200
The profit is 2 twice the cost  => Profit = 2 x 24x = 48x
Sell price = CP +profit => $3200 = 24x + 48x =>72x =$ 3200
=> x =$44.44 Sample questions for Placement Papers – Latest pattern Question 10 A manufacturer undertakes to supply 2000 pieces of a particular component at Rs.25 per piece. According to his estimates, even if 5% fail to pass the quality tests, then he will make a profit of 25%. However, as it turned out, 50% of the components were rejected. What is the loss to the manufacturer? (a) Rs.12000 (b) Rs.13000 (c) Rs.14000 (d) Rs.15000 Answer B Explanation : Total 200O pieces .Sell price of each piece is Rs 25 If there is 5% fail => 2000 x$\frac{95}{100}$= 1900 Their sell price = Rs 1900 x 25 = Rs 47500 On this price, he gets 25% profit => CP x$ \frac{125}{100} $= Rs 47500 Cost price to supplier => CP= Rs 38000 Total components rejected = 50% of 2000 => 1000 The selling price he got on these 1000 pieces => 1000 x 25 = 25000 His loss => CP –SP =>Rs 38000 – Rs 25000 => Rs 13000 Sample questions for Placement Papers – Latest Pattern Question 11 After allowing a discount of 11.11%, a trader still makes a gain of 14.28%. At how many percent above the cost price does he mark on his goods? a) 28.56% b) 35% c) 22.22% d) None of these Answer: A Explanation: Gain always obtained on cost price and discount always given on marked price. After giving 11.11% discount on market price, the trader makes 14.28% profit on his cost price. CP x$ \frac{100+14.28%}{100} $= MP x$ \frac{100-11.11}{100} $114.28% of CP= 88.89% of MP CP: MP= 88.89 : 114.28 % above the cost price he marks his goods =$ \frac{114.28 - 88.89}{100}$x 100 = 28.56% Sample questions for Placement Papers – Latest Pattern Question 12 Five kg of ghee was bought by Venu for Rs. 300. One kg was spoiled. He sells the remaining in such a way that on the whole, he incurs a loss of 10%. At what price per kg does he sell the ghee? a) Rs. 67.50 b) Rs. 60.50 c) Rs. 56.00 d) Rs. 67.00 Answer: A Explanation: Cost price of 5 kgs of ghee = Rs 300 On the whole, Venu got 10% loss => Selling price = 300 x$\frac{90}{100}$= Rs 270 1 kg spoiled. So the number of kgs he left = 4 kg So selling price per Kg = Rs$ \frac{270}{4}$= Rs 67.50 Sample questions for Placement Papers – Latest Pattern Question 13 Mani sells vegetables and he marks up the prices at 5% above his cost price. Also, the weighing stones used by him weigh only 90% of the correct weight. Find his effective percentage of mark-up. a) 15% b) 16 2/3% c) 14 1/2% d) 20% Answer: Explanation : Let the cost price of 1000 grams (1kg) be Rs 100 He marks up the price at 5% above the cost price => Marked price = Rs 105 Due to an error in weighing stones, he gives only 90% of the correct weight He is giving 90% of 1000 grams = 900 grams instead of 1 kg Cost price of 900 grams to him is => 1000grams = Rs 100 => 900 grams = Rs 90 His effective percentage of mark up =$\frac{105-90}{100}$x 100 =$\frac{90}{100}$x 100 = 16.66% Sample questions for Placement Papers – Latest Pattern Question 14 A retailer buys 40 pens at a marked price of 36 pens from a wholesaler. If he sells these pens giving a discount of 1%, what is his profit percent? a)12 % b)10% c) 15 % d). 16 % Answer: B Explanation: Let the marked price of each pen be Re. 1. Then, C.P. of 40 pens = Rs. 36. After offering a 1% discount on the marked price, S.P. of 40 pens = 99% of Rs. 40 = Rs. 39.60. Profit = SP –CP = RS 39.6- 36 = 3.6 => Profit% = [$ \frac{3.6}{36} \times 100 $]% = 10%. Sample questions for Placement Papers – Latest Pattern Question 15 A person brought two clocks. the cost price of one of them exceeds the cost of the other by 1/4th. He sold the dearer one at a gain of 10% , on the other at a gain of 7.5% and thus got Rs 98 in all as S.P. Find the cost Price of the cheaper one. a) Rs 30 b)Rs 35 c)Rs 40 d)Rs 50 Answer C Explanation: Let CP of a cheaper clock be C The cost price of dearer one exceeds the cost of the cheaper one by 1/4th. Then the cost price of dearer becomes$\frac{5C}{4}$Cheaper once C sold at 7.5% profit and Dearer one sold at 10% gain Total SP of two clocks = Rs 98 =>C X$ \frac{107.5}{100} $+$ \frac{5C}{4}\$ X 110/100 = 98
=> 430 C + 550 C = 98 x 400
=>  C=40

The cost price of the cheaper one = Rs 400