1.

If the selling price of 16 items is same as the cost price of 20 items, then there is a

**Answer: Option 'A'**

**Here the loss = 4 items out of 20 items; So the loss percent = 4× 100/20 = loss of 20%.**

2.

Harkamal purchased 8kg of grapes at the rate of 70 per kg and 9 kg of mangoes at the rate of 55 per kg. How much amount did he pay to the shopkeeper?

**Answer: Option 'C'**

**Cost of 8 kg grapes = 70 × 8 = 560.
Cost of 9 kg of mangoes = 55 × 9 = 490.
Total cost he has to pay = 560 + 490 = 1055.**

3.

The marked price of an article is 200. A discount of 12 ½% is allowed on the marked price and a profit of 25% is made. The cost price of the article is

**Answer: Option 'D'**

**The SP = 200 – 12 ½% of 200 = 175 = 125% of the CP;
:. CP = 175 ×100/125 = 140**

4.

If the cost price of 12 oranges is equal to selling price of 10 oranges, then the percentage of profit is

**Answer: Option 'B'**

**The profit is 2 oranges when selling 10 oranges,
So, percentage of profit = 2 × 100/10 = 20%.**

5.

A person sold 3/5 of a consignment at a profit of 35% and the rest at a loss of 25%. If there was an overall profit of 715, what is the actual cost of the consignment?

**Answer: Option 'C'**

**Let the total CP = ‘x’
Then first SP = 3x/5 × 135/100 = 81x/100
And the second SP = 2x/5 × 75/100 = 30x/100
:. Total SP = 81x/100 + 3x/100 = 111x/100.
SP – CP = profit, So, 111x/100 – x = 715
i.e 11x = 71500 and so, x = 71500/11 = 6500**

6.

Gina invests Rs.48000/- to start a business, 4 months later Shrayon joins her by investing Rs.62000/- and another two months later Deepika joins them both by investing Rs.80000/-. At the end of one year thebusiness earns a profit of Rs.20661/-. What is Deepika’s share in the profit?

**Answer: Option 'D'**

**Ratio of investments & Profits
Gina = 48000 x 12 = 36
Shrayon = 62000 x 8 = 31
Deepika = 80000 x 6 = 30
Sum of Ratio =97
:. Share of Deepika = 20661 x 30/97 = Rs.6390.**

7.

A discount of 14% on the marked price of an article is allowed and then the article is sold for Rs.387. The marked price of the article is

**Answer: Option 'A'**

**The selling price is 86% of the marked price and is = Rs.387.
So, The marked price = 387 × 100/86 = Rs.450.**

8.

A man bought articles 3 for 1 rupee how many articles sells for 1 rupees gained 50%

**Answer: Option 'B'**

**2**

9.

A man sells an article at 10% gain. Had be sold at for Rs.60/- more he could have gained 20% what is cost price of article

**Answer: Option 'B'**

**First selling price = 110 % -----> X Rupees
=sold at for Rs.60/- = 120 % -----> X + 60 Rupees
**

~ ---------------------------------------------- 10 % --------> 60 100 % ------->Rs.600/-

Short cut method :

---------------------------

Profit,Profit = -

Ptofit,Loss = +

Loss,Loss = -

Loss,Profit = +

---------------------------

OPPOSITE ==> +

SAME ===> -

----------------------------

Profit ==> 10 %

profit ==> 20%

~ ---------------- 10 % ---------> 60 100 % --------> Rs.600/-

10.

The owner of an electronic store charges his customer 9% more than the cost price. If a customer paid 1,26440 for an LED T.V., then what was the original price of the T.V.?

**Answer: Option 'A'**

**Selling Price = 109% of CP;
:. CP = 126440 × 100/109 = 116000.**

11.

On selling an item for 276 a person gains 15%. In order to gain 35%, what should be the increase in its selling price?

**Answer: Option 'D'**

**i.e. 115 % of CP = SP = 276
CP = 276 × 100/115 = 240
35% of 240 = 84.
:. Required increase in selling price = 324 – 276 = 48**

12.

A book-seller bought 200 textbooks for 12000. He wanted to sell them at a profit so that he got 20 books free. At what profit per cent should he sell them?

**Answer: Option 'B'**

**Here, the profit = CP of 20 books out of 180 books and
now the CP of 180 books = 12000.
:. The profit percent = 20 × 100/180 = 11 1/9 %**

13.

Amit purchased a book with a 10% discount on the labeled price. How much did he pay if the labelled price was 600?

**Answer: Option 'C'**

**Selling Price = 600 – 10% of 600 = 600 – 60 = 540.**

14.

A man sells two tables at the same price. On one he makes a profit of 10% and on the other he suffers a loss of 10%. His loss percent on the whole transaction is

**Answer: Option 'B'**

**Note: If there is an increase and decrease same percent, say,”a%” then there is always a loss of a²/100.
Therefore, in this problem, a = 10, and therefore, loss percent = 10²/100
= 1% loss.**

15.

If cost price is 80, overhead is 20 and selling price is 120, then the profit per cent is

**Answer: Option 'A'**

**The CP = 80 + 20 = 100.
The SP = 120; and the profit = 120 – 100 = 20 i.e. = 20%**

16.

Sonika spent Rs. 45760 on the interior decoration for her home, Rs.27896 on buying Air conditioner and the remaining 28% of the total amount she had as cash with her. What was the total amount?

**Answer: Option 'B'**

**The Total expense = 45760 + 27896 = 73656 = 72% of the Total amount.
:. Total amount = 73656 × 100/72 = 102300.**

17.

The selling price of 5 articles is the same as the cost price of 3 articles. The gain or loss is

**Answer: Option 'D'**

**There is a loss. Percentage of loss = 5 – 3/5 × 100 = 40%.**

18.

Raghavan purchased a scooter at 13/15th of its selling price and sold it at 12% more than its selling price. His gain is

**Answer: Option 'D'**

**Let the SP = 30000
Then CP = 30000 × 13/15 = 26000
Raghavan’s SP = 30000 +12% 0f 30000 = 33600
So, his actual gain = 7600 and the gain per cent = 7600 ×100/26000 = 29 3/13%**

19.

A television is brought for 13600 and sold at 15980. What is the gain per cent?

**Answer: Option 'C'**

**CP = 13600; SP = 15980
Profit/ gain = 15980 – 13600 = 2380.
Gain percent = 2380 × 100/13600 = 17.5%.**

20.

The marked price of a pen is Rs.60. After allowing a discount 10%, the merchant makes a profit of 20%. What is the cost price of the pen?

**Answer: Option 'D'**

**The discounted price = Rs. 54 which is 120% of CP; :. CP = 54 × 100/120 =Rs.45.**

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