The cost price of an article is C.P, the selling price is S.P and the marked price is M.P
- Profit (Loss) = S.P – C.P
- % Profit (Loss) = Profit (Loss)/C.P *100
- Discount = M.P – S.P
- % Discount = Discount/M.P * 100
SP - CP - Discount - Marked Price
Very ImportantFormula Video
Question 1
Amal purchases some pens at ₹ 8 each. To sell these, he hires an employee at a fixed wage. He sells 100 of these pens at ₹ 12 each. If the remaining pens are sold at ₹ 11 each, then he makes a net profit of ₹ 300, while he makes a net loss of ₹ 300 if the remaining pens are sold at ₹ 9 each. The wage of the employee, in INR, is
Solution
Correct Answer: 1000
Let the number of pens purchased be n. Then the cost price is 8n. The total expenses incurred would be 8n+W, where W refers to the wage.
Then SP in the first case = $$12\times\ 100+11\times\ \left(n-100\right)$$
Given profit is 300 in this case: 1200+11n-1100-8n-W=300 =>3n-W = 200
In second case: 1200+9n-900-8n-W=-300 (Loss). => W-n = 600.
Adding the two equations: 2n = 800
n = 400.
Thus W = 600 + 400 = 1000
Question 2
Raj invested ₹ 10000 in a fund. At the end of first year, he incurred a loss but his balance was more than ₹ 5000. This balance, when invested for another year, grew and the percentage of growth in the second year was five times the percentage of loss in the first year. If the gain of Raj from the initial investment over the two year period is 35%, then the percentage of loss in the first year is
Solution
Raj invested Rs 10000 in the first year. Assuming the loss he faced was x%.
The amount after 1 year is 10,000*(1 - x/100). = 10000 - 100*x.
Given the balance was greater than Rs 5000 and hence x < 50 percent.
When Raj invested this amount in the second year he earned a profit which is five times that of the first-year percentage.
Hence the amount after the second year is : (10000 - 100x)(1+$$\frac{\left(5\cdot x\right)}{100}$$).
Raj gained a total of 35 percent over the period of two years and hence the 35 percent is Rs 3500.
Hence the final amount is Rs 13,500.
(10000 - 100x)(1+$$\frac{\left(5\cdot x\right)}{100}$$) = 13,500
$$\left(100+5\cdot x\right)\cdot\left(100\ -\ x\right)\ =\ 13500$$
10000 - 100*x +500*x - 5*$$x^2$$ = 13500.
$$5x^2-400x+3500\ =\ 0$$
Solving the equation the roots are :
x = 10, x = 70.
Since x < 50, x = 10 percent.
Question 3
Amal buys 110 kg of syrup and 120 kg of juice, syrup being 20% less costly than juice, per kg. He sells 10 kg of syrup at 10% profit and 20 kg of juice at 20% profit. Mixing the remaining juice and syrup, Amal sells the mixture at ₹ 308.32 per kg and makes an overall profit of 64%. Then, Amal’s cost price for syrup, in rupees per kg, is
Solution
Correct Answer: 160
Total syrup - 110 kg
Total juice - 120 kg
It is given, cost price of syrup is 20% less than the cost price of juice.
Let the cost price of juice per kg be 10CP
Cost price of syrup per kg is 8CP
10kg syrup -> cost price = 80CP
It is given, 10kg syrup is sold at 10% profit. This implies selling price = 1.1*80CP = 88CP
20kg juice -> cost price = 200CP
It is given, 20kg juice is sold at 20% profit. This implies selling price = 1.2*200CP = 240CP
It is given, Mixing the remaining juice and syrup, Amal sells the mixture at ₹ 308.32 per kg
Selling price of the remaining mixture = 308.32*200 = Rs 61664
Total S.P = 61664 + 328CP
Total C.P = 880CP + 1200CP = 2080CP
Overall profit = 64%
$$61664+328CP=\frac{164}{100}\left(2080CP\right)$$
Solving, we get CP = 20
Cost price for syrup per kg = 8CP = 8*20 = Rs 160
Question 4
Gita sells two objects A and B at the same price such that she makes a profit of 20% on object A and a loss of 10% on object B. If she increases the selling price such that objects A and B are still sold at an equal price and a profit of 10% is made on object B, then the profit made on object A will be nearest to
Solution
Let us assume the initial selling prices of A and B is p.
Given, she made profit of 20% on A => 1.2 * c = p => c = 5p/6 => cost of A is $$\dfrac{5}{6}p$$
Given, she made a loss of 10% on B => 0.9 * c = p => c = 10p/9 => cost of B is $$\dfrac{10}{9}p$$
Now, she sold them at a price such that a 10% profit is made on B
=> Selling price = s = 11/10 * 10/9 p => $$\dfrac{11}{9}p$$
=> Profit % on A = $$\dfrac{\left(\dfrac{11}{9}-\dfrac{5}{6}\right)}{\left(\dfrac{5}{6}\right)}\times\ 100$$ = 46.66% = nearly 47%
Log in to view all questions
Login| Name | Date Taken | Score | Status |
|---|---|---|---|
| Formula Test 1 | NA | NA | |
| Formula Test 2 | NA | NA | |
| Formula Test 3 | NA | NA | |
| Formula Test 4 | NA | NA | |
| Formula Test 5 | NA | NA | |
| Formula Test 6 | NA | NA | |
| Formula Test 7 | NA | NA | |
| Formula Test 8 | NA | NA | |
| Formula Test 9 | NA | NA | |
| Formula Test 10 | NA | NA | |
| Formula Test 11 | NA | NA | |
| Formula Test 12 | NA | NA | |
| Formula Test 13 | NA | NA | |
| Formula Test 14 | NA | NA | |
| Formula Test 15 | NA | NA | |
| Formula Test 16 | NA | NA | |
| Formula Test 17 | NA | NA | |
| Formula Test 18 | NA | NA | |
| Formula Test 19 | NA | NA | |
| Formula Test 20 | NA | NA | |
| Formula Test 21 | NA | NA | |
| Formula Test 22 | NA | NA | |
| Formula Test 23 | NA | NA | |
| Formula Test 24 | NA | NA | |
| Formula Test 25 | NA | NA | |
| Formula Test 26 | NA | NA | |
| Formula Test 27 | NA | NA | |
| Formula Test 28 | NA | NA | |
| Formula Test 29 | NA | NA | |
| Formula Test 30 | NA | NA | |
| Formula Test 31 | NA | NA | |
| Formula Test 32 | NA | NA | |
| Formula Test 33 | NA | NA | |
| Formula Test 34 | NA | NA | |
| Formula Test 35 | NA | NA | |
| Formula Test 36 | NA | NA | |
| Formula Test 37 | NA | NA | |
| Formula Test 38 | NA | NA | |
| Formula Test 39 | NA | NA | |
| Formula Test 40 | NA | NA | |
| Formula Test 41 | NA | NA | |
| Formula Test 42 | NA | NA | |
| Formula Test 43 | NA | NA | |
| Formula Test 44 | NA | NA | |
| Formula Test 45 | NA | NA | |
| Formula Test 46 | NA | NA | |
| Formula Test 47 | NA | NA | |
| Formula Test 48 | NA | NA | |
| Formula Test 49 | NA | NA | |
| Formula Test 50 | NA | NA | |
| Formula Test 51 | NA | NA | |
| Formula Test 52 | NA | NA | |
| Formula Test 53 | NA | NA | |
| Formula Test 54 | NA | NA | |
| Formula Test 55 | NA | NA | |
| Formula Test 56 | NA | NA | |
| Formula Test 57 | NA | NA | |
| Formula Test 58 | NA | NA | |
| Formula Test 59 | NA | NA | |
| Formula Test 60 | NA | NA | |
| Formula Test 61 | NA | NA | |
| Formula Test 62 | NA | NA | |
| Formula Test 63 | NA | NA | |
| Formula Test 64 | NA | NA | |
| Formula Test 65 | NA | NA | |
| Formula Test 66 | NA | NA | |
| Formula Test 67 | NA | NA | |
| Formula Test 68 | NA | NA | |
| Formula Test 69 | NA | NA | |
| Formula Test 70 | NA | NA | |
| Formula Test 71 | NA | NA | |
| Formula Test 72 | NA | NA | |
| Formula Test 73 | NA | NA | |
| Formula Test 74 | NA | NA | |
| Formula Test 75 | NA | NA | |
| Formula Test 76 | NA | NA | |
| Formula Test 77 | NA | NA | |
| Formula Test 78 | NA | NA | |
| Formula Test 79 | NA | NA | |
| Formula Test 80 | NA | NA | |
| Formula Test 81 | NA | NA | |
| Formula Test 82 | NA | NA | |
| Formula Test 83 | NA | NA | |
| Formula Test 84 | NA | NA | |
| Formula Test 85 | NA | NA | |
| Formula Test 86 | NA | NA | |
| Formula Test 87 | NA | NA | |
| Formula Test 88 | NA | NA | |
| Formula Test 89 | NA | NA | |
| Formula Test 90 | NA | NA | |
| Formula Test 91 | NA | NA | |
| Formula Test 92 | NA | NA | |
| Formula Test 93 | NA | NA | |
| Formula Test 94 | NA | NA | |
| Formula Test 95 | NA | NA | |
| Formula Test 96 | NA | NA | |
| Formula Test 97 | NA | NA | |
| Formula Test 98 | NA | NA | |
| Formula Test 99 | NA | NA | |
| Formula Test 100 | NA | NA | |
| Formula Test 101 | NA | NA | |
| Formula Test 102 | NA | NA | |
| Formula Test 103 | NA | NA | |
| Formula Test 104 | NA | NA | |
| Formula Test 105 | NA | NA | |
| Formula Test 106 | NA | NA | |
| Formula Test 107 | NA | NA | |
| Formula Test 108 | NA | NA | |
| Formula Test 109 | NA | NA | |
| Formula Test 110 | NA | NA | |
| Formula Test 111 | NA | NA | |
| Formula Test 112 | NA | NA | |
| Formula Test 113 | NA | NA | |
| Formula Test 114 | NA | NA | |
| Formula Test 115 | NA | NA | |
| Formula Test 116 | NA | NA | |
| Formula Test 117 | NA | NA | |
| Formula Test 118 | NA | NA | |
| Formula Test 119 | NA | NA | |
| Formula Test 120 | NA | NA | |
| Formula Test 121 | NA | NA | |
| Formula Test 122 | NA | NA | |
| Formula Test 123 | NA | NA | |
| Formula Test 124 | NA | NA | |
| Formula Test 125 | NA | NA | |
| Formula Test 126 | NA | NA | |
| Formula Test 127 | NA | NA | |
| Formula Test 128 | NA | NA | |
| Formula Test 129 | NA | NA | |
| Formula Test 130 | NA | NA | |
| Formula Test 131 | NA | NA | |
| Formula Test 132 | NA | NA | |
| Formula Test 133 | NA | NA | |
| Formula Test 134 | NA | NA | |
| Formula Test 135 | NA | NA | |
| Formula Test 136 | NA | NA | |
| Formula Test 137 | NA | NA |
Formula Test 1
Not attempted
Formula Test 2
Not attempted
Formula Test 3
Not attempted
Formula Test 4
Not attempted
Formula Test 5
Not attempted
Formula Test 6
Not attempted
Formula Test 7
Not attempted
Formula Test 8
Not attempted
Formula Test 9
Not attempted
Formula Test 10
Not attempted
Formula Test 11
Not attempted
Formula Test 12
Not attempted
Formula Test 13
Not attempted
Formula Test 14
Not attempted
Formula Test 15
Not attempted
Formula Test 16
Not attempted
Formula Test 17
Not attempted
Formula Test 18
Not attempted
Formula Test 19
Not attempted
Formula Test 20
Not attempted
Formula Test 21
Not attempted
Formula Test 22
Not attempted
Formula Test 23
Not attempted
Formula Test 24
Not attempted
Formula Test 25
Not attempted
Formula Test 26
Not attempted
Formula Test 27
Not attempted
Formula Test 28
Not attempted
Formula Test 29
Not attempted
Formula Test 30
Not attempted
Formula Test 31
Not attempted
Formula Test 32
Not attempted
Formula Test 33
Not attempted
Formula Test 34
Not attempted
Formula Test 35
Not attempted
Formula Test 36
Not attempted
Formula Test 37
Not attempted
Formula Test 38
Not attempted
Formula Test 39
Not attempted
Formula Test 40
Not attempted
Formula Test 41
Not attempted
Formula Test 42
Not attempted
Formula Test 43
Not attempted
Formula Test 44
Not attempted
Formula Test 45
Not attempted
Formula Test 46
Not attempted
Formula Test 47
Not attempted
Formula Test 48
Not attempted
Formula Test 49
Not attempted
Formula Test 50
Not attempted
Formula Test 51
Not attempted
Formula Test 52
Not attempted
Formula Test 53
Not attempted
Formula Test 54
Not attempted
Formula Test 55
Not attempted
Formula Test 56
Not attempted
Formula Test 57
Not attempted
Formula Test 58
Not attempted
Formula Test 59
Not attempted
Formula Test 60
Not attempted
Formula Test 61
Not attempted
Formula Test 62
Not attempted
Formula Test 63
Not attempted
Formula Test 64
Not attempted
Formula Test 65
Not attempted
Formula Test 66
Not attempted
Formula Test 67
Not attempted
Formula Test 68
Not attempted
Formula Test 69
Not attempted
Formula Test 70
Not attempted
Formula Test 71
Not attempted
Formula Test 72
Not attempted
Formula Test 73
Not attempted
Formula Test 74
Not attempted
Formula Test 75
Not attempted
Formula Test 76
Not attempted
Formula Test 77
Not attempted
Formula Test 78
Not attempted
Formula Test 79
Not attempted
Formula Test 80
Not attempted
Formula Test 81
Not attempted
Formula Test 82
Not attempted
Formula Test 83
Not attempted
Formula Test 84
Not attempted
Formula Test 85
Not attempted
Formula Test 86
Not attempted
Formula Test 87
Not attempted
Formula Test 88
Not attempted
Formula Test 89
Not attempted
Formula Test 90
Not attempted
Formula Test 91
Not attempted
Formula Test 92
Not attempted
Formula Test 93
Not attempted
Formula Test 94
Not attempted
Formula Test 95
Not attempted
Formula Test 96
Not attempted
Formula Test 97
Not attempted
Formula Test 98
Not attempted
Formula Test 99
Not attempted
Formula Test 100
Not attempted
Formula Test 101
Not attempted
Formula Test 102
Not attempted
Formula Test 103
Not attempted
Formula Test 104
Not attempted
Formula Test 105
Not attempted
Formula Test 106
Not attempted
Formula Test 107
Not attempted
Formula Test 108
Not attempted
Formula Test 109
Not attempted
Formula Test 110
Not attempted
Formula Test 111
Not attempted
Formula Test 112
Not attempted
Formula Test 113
Not attempted
Formula Test 114
Not attempted
Formula Test 115
Not attempted
Formula Test 116
Not attempted
Formula Test 117
Not attempted
Formula Test 118
Not attempted
Formula Test 119
Not attempted
Formula Test 120
Not attempted
Formula Test 121
Not attempted
Formula Test 122
Not attempted
Formula Test 123
Not attempted
Formula Test 124
Not attempted
Formula Test 125
Not attempted
Formula Test 126
Not attempted
Formula Test 127
Not attempted
Formula Test 128
Not attempted
Formula Test 129
Not attempted
Formula Test 130
Not attempted
Formula Test 131
Not attempted
Formula Test 132
Not attempted
Formula Test 133
Not attempted
Formula Test 134
Not attempted
Formula Test 135
Not attempted
Formula Test 136
Not attempted
Formula Test 137
Not attempted
