Profit and Loss
- If the ratio of cost price to selling price is 10 : 11, then the rate of percent of profit is
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Here, The ratio of cost price and selling price = 10 : 11
Let Cost price = Rs. 10k and Selling price = Rs. 11k
Gain = Selling price - Cost price = 11k - 10k = k∴ Gain percent = Gain × 100 Cost price
Correct Option: C
Here, The ratio of cost price and selling price = 10 : 11
Let Cost price = Rs. 10k and Selling price = Rs. 11k
Gain = Selling price - Cost price = 11k - 10k = k∴ Gain percent = Gain × 100 Cost price Gain percent = k × 100 = 10% 10k
- A profit of 12% is made when a mobile phone is sold at $ P and there is 4% loss when the phone is sold at $ Q. Then Q : P is
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Let C.P. of mobile = Rs. y
On profit of 12% ,∴ y × 112 = P 100 and at 4% loss , 96y = Q 100 ∴ Q : P = 96y : 112x 100 100
Correct Option: C
Let C.P. of mobile = Rs. y
On profit of 12% ,∴ y × 112 = P 100 and at 4% loss , 96y = Q 100 ∴ Q : P = 96y : 112x 100 100
Q : P = 96 : 112 = 6 : 7
Hence , required answer is 6 : 7 .
- Two types of tea costing $ 180 per kg and $ 280 per kg should be mixed in the ratio so that the mixture obtained, sold at $ 320 per kg to earn a profit of 20% is
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Given , S.P. of two types tea a profit of 20% = $ 320 per kg
∴ C.P. of mixture = 320 × 100 120 C.P. of mixture
= Rs.800 per kg. 3
By rule of alligation ,
Correct Option: D
Given , S.P. of two types tea a profit of 20% = $ 320 per kg
∴ C.P. of mixture = 320 × 100 120 C.P. of mixture
= Rs.800 per kg. 3
By rule of alligation ,∴ Required ratio = 40 : 260 = 2 : 13 3 3
- A total profit of $ 3,600 is to be distributed amongst A, B and C such that A : B = 5 : 4 and B : C = 8 : 9. The share of C in the profit is
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Given that , Total profit = $ 3,600
A : B = 5 : 4 = 10 : 8
B : C = 8 : 9
∴ A : B : C = 10 : 8 : 9
Sum of ratios = 10 + 8 + 9 = 27∴ C’s share = ratio of C × Total profit Sum of ratios
Correct Option: A
Given that , Total profit = $ 3,600
A : B = 5 : 4 = 10 : 8
B : C = 8 : 9
∴ A : B : C = 10 : 8 : 9
Sum of ratios = 10 + 8 + 9 = 27∴ C’s share = ratio of C × Total profit Sum of ratios C’s share = 9 × 3600 = $ 1200 27
- A, B and C started a business with their investments in the ratio 1 : 2 : 4. After 6 months A increased his capital by 50% and B invested twice the amount as before, while C withdrew (1 / 4) of his own investment. The ratio of their profits at the end of the year was
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Given in question , The ratio of investments of A , B and C = 1 : 2 : 4
Let the investments of A , B and C are k , 2k and 4k .
Ratio of equivalent capitals of A, B and C for 1 month= 
k × 6 + 3k × 6 
: ( 2k × 6 + 4k × 6 ) : ( 4k × 6 + 3k × 6 ) 2
Correct Option: B
Given in question , The ratio of investments of A , B and C = 1 : 2 : 4
Let the investments of A , B and C are k , 2k and 4k .
Ratio of equivalent capitals of A, B and C for 1 month= k × 6 + 3k × 6 : ( 2k × 6 + 4k × 6 ) : ( 4k × 6 + 3k × 6 ) 2
Ratio of equivalent capitals of A, B and C for 1 month = 15k : 36k : 42k = 5 : 12 : 14
