to gain 20% in the transaction?

1) 16 2) 24 3) 32 4) 28 5) None of the above

Solution (1).

Let the cost price be Rs. x

SP of 1 orange = Rs. 30/32 = Rs. 15/16

According to the question,

75x /100 = 15/16

Therefore, x = 15*100 / 75*16 = Rs. 5/4

SP of 1 orange with 20% profit

= Rs. (5/4 * 120/100) = Rs. 3/2

Therefore, In Rs. 3/2, the number of oranges sold = 1

Therefore, In Rs. 24, the number of oranges sold

= 2/3 * 24 = 16

2. The selling price of 20 articles is equal to the cost price of 22 articles. The gain percentage is

1) 12% 2) 9% 3) 10% 4) 11% 5)None of these

Solution (3) .Here, a = 22 and b = 20, then

Therefore gain % = (a – b) / b * 100%

= 22 – 20 / 20 * 100% = 10%

3. If the cost price of 23 toys is equal to selling price of 20 toys, then the gain or loss percentage is

1) 12 2) 14 3) 15 4) 12 ½ 5)None of these

Solution .(3)

Here, a = 23, b = 20

Therefore Required Percentage Profit

= (a – b / b) * 100%

= (23 – 20) / 20 * 100% = 15%

4. The cost price of 24 apples is same as the selling price of 18 apples. The percentage of gain is

1) 12 ½ % 2) 14 2/3% 3) 16 2/3% 4) 33 1/3% 5) None of these

Solution (4).

Here, 6 Apples are gained over 18 apples.

Therefore Gain % = ((6/18) * 100) % = 33 1/3 %

5. A dishonest dealer sells his goods at 10% loss on cost price but uses 20% less weight. What is his

profit or loss per cent ?

1) 12% loss 2) 22.5% gain 3) 13.9% loss 4) 12.5% gain 5) None of the above

Solution . (4) .

Here, a = 10% and b = 20%

According to the formula,

Required answer = [( b±a )/ (100 – b) * 100 ] %

= (20 – 10) / (100 – 20) * 100 %

= 10 / 80 * 100 % = 12.5 % gain.

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