**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

Answer: A

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

Answer: B

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

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

=>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 %

**Answer: B****Explanation:**
Let
the marked price of each pen be Re. 1.

Then, C.P. of 40 pens = Rs. 36.

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

= 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

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 1/4

^{th}.
Then cost price of dearer becomes $ \frac{5C}{4} $

Cheaper once C sold at 7.5% profit and Dearer one sold at 10% gain

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

a) Rs. 1090 b) Rs. 1160 c) Rs. 1190 d) Rs. 1202

Answer:
C

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%

a) 40% b) 50% c) 35% d) 30%

Answer : B

Explanation: Let the Marked price be Rs 100

Explanation: Let 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

Ã° 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.So, she actually sells 1 kg for $3×0.9×0.9=$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

Answer: B

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

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

(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

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

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

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

**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

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

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.

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

= 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

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 1/4

^{th}.
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

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