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1. A man buys an article for $27.50 and sells it for $28.60. Find the gain in %.

A. 2

B. 4

C. 6

D. 8

**Answer : ****4**

Gain = Selling price - Cost price

Gain = 28.60 - 27.50 = 1.10

Gain in percentage = Gain x 100 / Cost price

Gain in percentage = 1.10 x 100 / 27.50 = 4 %

2. A machine is sold at a profit of 10%. Had it been sold for Rs. 40 less, there would have been a loss of 10%. What was the cost price ?

A. Rs. 175

B. Rs. 200

C. Rs. 225

D. Rs. 250

**Answer : ****Rs. 200**

Let the Cost price be **k**.

For a profit of 10%, Selling price = k + 10% of k = 11k /10

For a loss of 10%, ( k - 10% of k ) = ( 11k /10 ) - 40

► 9k/10 = ( 11k/10 ) - 40

► k = 200

3. An uneducated retailer marks all his goods at 50% above the cost price and thinking that he will still make 25% profit, offers a discount of 25% on the marked price. What is his actual profit on the sales?

A. 13.50 %

B. 14 %

C. 10%

D. 12.50 %

**Answer : ****12.50 %**

Retailer marks all his goods at 50% above the cost price, so

Let Cost Price = Rs. 100. Then, the marked price = Rs. 150.

After offering 25% of discount from the marked price,

Selling Price = 75% of Rs. 150 = Rs. 112.50.

Thus, Gain in % = 12.50%.

(Note: In this problem, we tried with an example of cost price =100 to solve quickly)

4. A retailer buys 40 pens at the marked price of 36 pens from a wholesaler. If he sells these pens giving a discount of 1%, what is the profit percent?

A. 10%

B. 12%

C. 13%

D. 16%

**Answer : ****10%**

Let the marked price of each pen be 1 Rs.

Then he buys 40 pens at 36 Rs. (Since 40 pens at the marked price of 36 pens)

So, the price of each pen = 36/40 = 0.9 Rs.

While selling he makes 1% discount from the marked price 1 Rs. Thus, he sells at 0.99 Rs.

Profit for a pen = 0.99 - 0.9 = 0.09

In percentage, profit = (0.09 / 0.9) x 100 = 10%

5. If by selling 110 mangoes, the C.P. of 120 mangoes is realised, the gain percentage is :

A. 9 1/11 %

B. 10 1/11 %

C. 9 3/2 %

D. 11 1/9 %

**Answer : ****9 1/11 %**

Let C.P. of each mango be Rs. 1.

C.P. of 110 mangoes = Rs. 110;

By selling 110 mangoes, the C.P. of 120 mangoes is realised, therefore

S.P. of 110 mangoes = Rs. 120.

Gain = (10/110) x 100 = 100/11 = 9 1/11 %

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