**Answer all the questions to get the result**

# BANKING & IT

We at Frontlines Media are giving problems, daily questions, and a test on Sunday. By, which one can get a clear idea and solving capacity of every topic. This is our third test after the Number system and Percentages. This test will be on Profit and Loss. All the best.

#### BANKING & IT

### By selling an article for Rs 600 more, Karthik would have made 5% profit on his sale instead of a 11% loss. What was his cost price?

### 3750

CP = (Difference in SP) ÷ (% Difference in profit) = 600/(5-(-11)) × 100 = (600/16)×100 = Rs3750

### A tradesman marks his goods 25% above the cost price and allows his customers 12 % reduction on their bills. What percent profit does he make?

### 10%

Let CP= Rs. 100, therefore, MP= Rs. 125, Discount% = 12%

SP = 88% of MP = 88% of 125 = Rs. 110. Profit = 110 – 100 = Rs. 10

Profit = 10%.

### An orange vendor makes a profit of 10% by selling oranges at a certain price. If he charges Rs. 1.4 higher per orange he would gain 30%. Find the original price at which he sold an orange.

### 7.70

Rs. 1.4 is the increase in absolute, 20% is the increase in percentage. Thus those two can be equated. Hence it can be concluded that 1.4 is 20% of the price i.e. the CP of one orange is 1.4/0.20 = Rs. 7. The SP per orange in the first case is 7 × 1.1 = Rs. 7.70.

### What profit percent is made by selling an article at a certain price if by selling at four-fifth of that price there may be a loss of 12 %?

### 10%

Such question can be better answered by thinking in the reverse order. Let the CP = 100, there is a loss of 12% in the final case i.e. SP = 100 – 12 = Rs 88. Now this Rs. 88 is the four-fifth of the selling price as per the question. The original selling price will be 88 × 5/4 = Rs. 110. CP =100. There is a profit of Rs. 10, which is nothing but 10%, as the CP is taken to be Rs. 100

### A trader mixes 26 kg of rice at Rs. 20 per kg with 30 kg of rice of other variety at Rs. 36 per kg and sells the mixture at Rs. 30 per kg. His profit percent is:

### 5%

c.P. of 56 kg rice = Rs. (26 x 20 + 30 x 36) = Rs. (520 + 1080) = Rs. 1600.

S.P. of 56 kg rice = Rs. (56 x 30) = Rs. 1680.

Gain =(80/1600*100) % = 5%

### If books bought at prices ranging from Rs. 200 to Rs. 350 are sold at prices ranging from Rs. 300 to Rs. 425, what is the greatest possible profit that might be made in selling eight books ?

### 1800

Least Cost Price = Rs. (200 * 8) = Rs. 1600.

Greatest Selling Price = Rs. (425 * 8) = Rs. 3400.

Required profit = Rs. (3400 - 1600) = Rs. 1800.

### Tarun got 30% concession on the labelled price of an article and sold it for Rs. 8750 with 25% profit on the price he bought. What was the labelled price ?

### 10000

Cost Price = Rs.[100125×8750]Rs.100125×8750 = Rs. 7000. Let the labelled price be Rs. x.

Then, 70100*x=700070100*x=7000 ⇒x=Rs.(7000*10070)⇒x=Rs.7000*10070

= Rs.10000

### By mixing two qualities of pulses in the ratio 2: 3 and selling the mixture at the rate of Rs 22 per kilogram, a shopkeeper makes a profit of 10 %. If the cost of the smaller quantity be Rs 14 per kg, the cost per kg of the larger quantity is:

### 24

Cost Price of 5 kg = Rs.(14*2 + x*3) = (28 + 3x).

Sell price of 5 kg = Rs. (22x5) = Rs. 110.

[{110 - (28 + 3x)}/(28 + 3x) ]* 100 =10

[82-3x/28 + 3x]= 1 / 10

820 - 30x = 28 +3x

33x = 792

x = 24

### The marked price of an article is increased by 25% and the selling price is increased by 16.66%, then the amount of profit doubles. If the original marked price be Rs. 400 which is greater than the corresponding cost price by 33.33% , what is the increased selling price?

### 420

Initially CP profit SP MP

100 x (100+x) 133.33

After Change 100 2x (100+x)

Now, Since (100+x) - 100 = 2x

7676 x= 20%

CP Profit SP MP

100 20 120 133.33

So, 300 60 360 400

Again 300 120 420

So the increased selling price = Rs. 420

### A merchant buys two articles for Rs.600. He sells one of them at a profit of 22% and the other at a loss of 8% and makes no profit or loss in the end. What is the selling price of the article that he sold at a loss ?

### 404.80

Let C1 be the cost price of the first article and C2 be the cost price of the second article.

Let the first article be sold at a profit of 22%, while the second one be sold at a loss of 8%.

We know, C1 + C2 = 600.

The first article was sold at a profit of 22%. Therefore, the selling price of the first article = C1 + (22/100)C1 = 1.22C1

The second article was sold at a loss of 8%. Therefore, the selling price of the second article = C2 - (8/100)C2 = 0.92C2.

The total selling price of the first and second article = 1.22C1 + 0.92C2.

As the merchant did not make any profit or loss in the entire transaction, his combined selling price of article 1 and 2 is the same as the cost price of article 1 and 2.

Therefore, 1.22C1 + 0.92C2 = C1+C2 = 600

As C1 + C2 = 600, C2 = 600 - C1. Substituting this in 1.22C1 + 0.92C2 = 600, we get

1.22C1 + 0.92(600 - C1) = 600

or 1.22C1 - 0.92C1 = 600 - 0.92*600

or 0.3C1 = 0.08*600 = 48

or C1 = 48/(0.3) = 160.

If C1 = 160, then C2 = 600 - 160 = 440.

The item that is sold at loss is article 2. The selling price of article 2 = 0.92*C2 = 0.92*440 = 404.80.

### A person bought an article and sold it at a loss of 10 % if he had bought it for 20 % less and sold it for Rs. 55 more he would have had a profit of 40 %. The C.P of the article is:

### 250

C.P = Rs. X

### At what price must kantilal sell a mixture of 80 kg sugar at Rs. 6.75 per kg with 120 kg at Rs. 8 per kg to gain 20%?

### Rs. 9 per kg

C.P of 200 kg of sugar = Rs. (80 × 6.75 + 120 × 8) = Rs. 1500

### Kajal bought paper sheets for Rs. 7200 and spent Rs. 200 on transport. Paying Rs 600 she had 330 boxes made. Which he said at Rs. 28 each. What is her profit Percentage?

### 15.5

330 boxes = Rs. (7200 + 200 600) = Rs. 8000

### Ram bought 4 dozen apples at Rs. 12 per dozen and 2 dozen apples at Rs. 16 per dozen. He sold all of them to earn 20%. At what price per dozen did he sell the apples?

### 16

6 dozen apples = Rs. (12 × 4 + 16 × 2) = Rs. 80

### Look at this series: 2, 1, (1/2), (1/4), … What number should come next?

### 1/8

It’s a division series. Every number is half of the previous number. The number is divided by 2 successively to get the next result. 4/2 = 2. 2/2 = 1. 1/2 = ½. (1/2)/2 = ¼. (1/4)/2 = 1/8 and so on.

### Which word does NOT belong with the others?

### Book.

Rest are all parts of a book.

### Safe : Secure :: Protect :

### The chairman is ill and we will have to ........ the meeting for few days

### The cat and dog have a ............. enemy in the rat

### He is very good ...... making stories.

### One year payment to the servant is Rs. 200 plus one shirt. The servant leaves after 9 months and recieves Rs. 120 and a shirt. What is the price of the shirt?

### 120

The servant worked for 9 months instead of 12 months, he should receive 9/12 of his annual payment

Let the price of 1 shirt be Rs.S.

i.e., .

However, the question states that the servant receive Rs. 120 + S where S is the price of the shirt.

By equating the two equations we get = 120 + S.

Therefore Price of the shirt S = Rs. 120.

### A trader professes to sell his goods at a loss of 8% but uses a weight of 900 grams in place of a 1 kg weight. What is his real loss or gain per cent?

### 2.22% gain

The trader professes to sell his goods at a loss of 8%.

Therefore, Selling Price = (100 - 8)% of Cost Price

or SP = 0.92CP

But, when he uses weights that measure only 900 grams while he claims to measure 1 kg.

Hence, CP of 900gms = 0.90 * Original CP

So, he is selling goods worth 0.90CP at 0.92CP

Therefore, he makes a profit of 0.02 CP on his cost of 0.9 CP

Profit % =

i.e., or 2.22%

### If a merchant offers a discount of 40% on the marked price of his goods and thus ends up selling at cost price, what was the % mark up?

### 66.66%

If the merchant offers a discount of 40% on the marked price, then the goods are sold at 60% of the marked price.

The question further states that when the discount offered is 40%, the merchant sells at cost price.

Therefore, selling @ 40% discount = 60% of marked price (M) = cost price (C)

or

i.e., a mark up 66.66%

### A merchant marks his goods in such a way that the profit on sale of 50 articles is equal to the selling price of 25 articles. What is his profit margin?

### 100%

Let the selling price per article be = Re. 1

Therefore, selling price of 50 articles = Rs.50

Profit on sale of 50 articles = selling price of 25 articles = Rs.25.

S.P = 50. Profit = 25. Therefore, CP = 50 - 25 = 25.

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### I came here to discuss ........... cricket with him

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