On selling an article for Rs. 240, a trader loses 4%. In order to gain 10 % he must sell that article for

From question CP/SP = 12/18 = 2/3
? Profit (%) = ( 3 - 2 ) / 2 x 100 = 50%

2nd Solution:
CP = 100/18 = 5.55 paisa
SP = 100/12 = 8.33 paisa
? Profit = (8.33-5.55)/5.55 x 100 = 50 %

Each dozen carries cost 75 rupees and are sold for
12 x 15 = 180 rupees
profit = SP-CP
profit = 180-75 = 105 rupees

Cost of 15 eggs = 75 rupees
Cost of 1 egg = 75/15 = 5 rupees,
Cost of 5 dozens, i.e. 5 x 12 = 60 x 5 = 300

Let the total number of camels be x.
Then, acording to the question,
x/4 + 2?x + 15 = x
? x - x/4 - 2 ?x = 15
? 3x - 8?x - 60 = 0
? ?x = [8 ± ?64 + 720] / 6
= (8 ± 28) / 6
? x = 36

Let the number be x and y.
Now, according to the question,
x(x + y) = 2418 .....(i)
and y(x + y) = 3666 .....(ii)
On adding Eqs. (i) and (ii), we get
x² + xy + yx + y² = 6084
? x² + 2xy + y² = 6084
? (x + y)² = 6084
? x + y = ?6084 = 78
On subtracting Eq. (ii) from Eq. (i), we get
x² + xy - yx - y² = -1248
? x² - y² = -1248
? (x + y) (x - y) = -1248
? 78(x - y) = -1248
? x - y = - 1248 / 78 = -16
? (y - x) = 16

SP = 100/12 paise
Let's CP = x
SP = 0.8x = 100/12
? x = 10/(0.8x12) paise
Therefore, CP = 100/9.6 paise

Thus the new SP (with 20% profit) = 100/9.6 X 1.2 = 100/8 paise
Hence, 8 apples can be purchased for Rs.1 to gain 20%

6% of cost price (CP) = 1425 - 1353 = 72
? CP = ( 72 x 100 ) / 6 = 1200

The cost price ( CP ) of profitable cow = 9900 / 1.1 = 9000
and profit = Rs. 900

The CP of loss yielding cow = 9900 / 0.8 =12375
and loss = Rs. 2475

So the net loss = 2475 - 900 = 1575

Selling price after 10 % loss = 200 - 10% = 180
Selling price after additional 5% loss = 180 - 5% = 171

You can go through options.
CP = 100 / 6 = 16.66 paisa
SP = 100 / 5 = 20 paisa

Profit (%) = [( 20 - 16.66 ) / 16.66 ] X 100
= [ 3.33 /16.66 ] X 100
= ( 1 / 5 ) X 100 = 20%
Hence, option (c) is correct.


Alternatively:
CP = 100 / 6
SP = ( 100 / 6 ) X 1.2 = 100 / 5

Hence, he should sell 5 toffees for Re. 1 (100 paisa)