[C.P. of 17 balls] - [S.P. of 17 balls] = [C.P. of 5 balls]
$\Rightarrow$ C.P. of 12 balls = S.P. of 17 balls = Rs.720.
$\Rightarrow$ C.P. of 1 ball = Rs.$ \left(\dfrac{720}{12} \right) $= Rs. 60.
C.P. of 6 toffees = Re. 1
S.P. of 6 toffees = 120% of Re. 1 = Rs.$ \dfrac{6}{5} $
For Rs.$ \dfrac{6}{5} $, toffees sold = 6.
For Re. 1, toffees sold =$ \left(6 \times\dfrac{5}{6} \right) $= 5.
85 : 18700 = 115 : $ x $
$\Rightarrow x $ =$ \left(\dfrac{18700 \times 115}{85} \right) $= 25300.
Hence, S.P. = Rs. 25,300.
SP = 34.80
Loss = 25%
CP = $\dfrac{100}{(100 - Loss\%)} \times SP$ = $\dfrac{100}{(100 - 25)} \times 34.80$ = $\dfrac{100}{75}$ x 34.80
= $\dfrac{4 \times 34.80}{3}$ = 4 x 11.60 = 46.40
C.P. = Rs.$ \left(\dfrac{100}{122.5} \times 392\right) $= Rs.$ \left(\dfrac{1000}{1225} \times 392\right) $= Rs. 320
$\therefore$ Profit = Rs. (392 - 320) = Rs. 72.
Cost Price (C.P.) = Rs. (4700 + 800) = Rs. 5500.
Selling Price (S.P.) = Rs. 5800.
Gain = (S.P.) - (C.P.) = Rs.(5800 - 5500) = Rs. 300.
Gain % =$ \left(\dfrac{300}{5500} \times 100\right) $%= 5$ \dfrac{5}{11} $
Suppose, number of articles bought = L.C.M. of 6 and 5 = 30.
C.P. of 30 articles = Rs.$ \left(\dfrac{5}{6} \times 30\right) $= Rs. 25.
S.P. of 30 articles = Rs.$ \left(\dfrac{6}{5} \times 30\right) $= Rs. 36.
$\therefore$ Gain % =$ \left(\dfrac{11}{25} \times 100\right) $% = 44%.
S.P. = 85% of Rs. 1400 = Rs.$ \left(\dfrac{85}{100} \times 1400\right) $= Rs. 1190
SP =15
Loss = $\dfrac{CP}{16}$
Loss = CP - SP = CP - 15
$\Rightarrow \dfrac{CP}{16}$ = CP - 15
$\Rightarrow \dfrac{15 CP}{16}$ = 15
$\Rightarrow \dfrac{CP}{16}$ = 1
$\Rightarrow$ CP = 16
Let C.P. be Rs. $ x $ and S.P. be Rs. $ y $.
Then, 3$\left(y - x\right)$ =$\left(2y - x\right)$ $\Rightarrow y $ = 2$ x $.
Profit = Rs. $\left(y-x\right)$ = Rs.$\left(2x-x\right)$ = Rs. $ x $.
$\therefore$ Profit % =$ \left(\dfrac{x}{x} \times 100\right) $% = 100%
$\Rightarrow x $ = 16.
C.P. of 56 kg rice = Rs.$ (26 \times 20 + 30 \times 36)$ = Rs. (520 + 1080) = Rs. 1600.
S.P. of 56 kg rice = Rs.$ (56 \times 30)$ = Rs. 1680.
$\therefore$ Gain =$ \left(\dfrac{80}{1600} \times 100\right) $% = 5%.
= 500 – 450
= 50.
Gain% = (50/450)*100
= 100/9 %
Therefore, the cost price of the fan
= (100/93)*465
= Rs. 500
Then Profit = Rs. 80 and selling price = Rs. 180.
The cost increases by 20% → New CP = Rs. 120, SP = Rs. 180.
Profit % = 60/120 * 100 = 50%.
Therefore, Profit decreases by 30%.
Selling price of 8 toys = Rs. 35 → SP of 1 toy = Rs. 35/8
Therefore, Gain = 35/8 – 4 = 3/8.
Gain percent = (3/8)/4 * 100 = 9.375%
Then the cost price of n pens is Rs. n and
the selling price of n pens is Rs. 10.
Loss = n-10.
Loss of 40% → (loss/CP)*100 = 40
Therefore, [(n-10)/n]*100 = 40 → n = 17 (approx)
Let the cost price of each gram be Re. 1. Then the CP of each bag = Rs. 850.
SP of 1 kg of bag = 120% of the true CP
Therefore, SP = 120/100 * 1000 = Rs. 1200
Gain = 1200 – 850 = 350
Hence Gain % = 350/850 * 100 = 41.17%
Here SP is lesser than CP. So there is loss.
According to formula, Loss = CP – SP
= 3000 – 2500 = Rs. 500
Loss % = Loss/CP x 100
= 500/3000 x 100
= 16.67%
Therefore, CP of 1 orange = 40/10 = Rs.4
And, SP of 15 oranges = 75
So, SP of 1 orange = 75/15 = Rs.5
By formula, Profit for 1 orange = SP – CP = 5 – 4 = 1
To calculate the number of oranges required so that Anu makes Rs. 50 as total profit, we can use the direct proportion table method as follows
Oranges Profit 1 Rs. 1 X Rs. 50 Since number of oranges and profit will be in direct proportion, we can write:
| Oranges | Profit |
|---|---|
| 1 | Rs. 1 |
| X | Rs. 50 |
Loss % = (X/10)2 , where X = profit percentage = loss percentage
Therefore, Loss % = (X/10)2 = (20/10)2 = 400/100 = 4%