Profit and Loss
- If the ratio between the profit and selling price of an article is 1 : 5, then the ratio between the selling price and the cost price of that article is :
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Given , Ratio of the profit and selling price of an article = 1 : 5
Let the profit be Rs. = y.
Selling price = Rs. 5y
∴ Cost price of article = Rs. (5y – y) = Rs. 4y
∴ Required ratio = Selling price of article : Cost price of articleCorrect Option: C
Given , Ratio of the profit and selling price of an article = 1 : 5
Let the profit be Rs. = y.
Selling price = Rs. 5y
∴ Cost price of article = Rs. (5y – y) = Rs. 4y
∴ Required ratio = Selling price of article : Cost price of article
∴ Required ratio = 5y : 4y = 5 : 4
- Instead of dividing 391 cookies among 3 children A, B , C in the ratio (1 / 5) : (1 / 4) : (1 / 8), it was divided in to the ratio 5 : 4 : 8. Who gains the most and how many ?
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Case I :
A : B : C = 1 : 1 : 1 5 4 8 
[LCM of 5, 4 and 8 = 40]
A : B : C = 8 : 10 : 5
Sum of the terms of ratio = 8 + 10 + 5 = 23
Case II :
A : B : C = 5 : 4 : 8
Sum of the terms of ratio = 5 + 4 + 8 = 17
Clearly C gains
C’s profit
Correct Option: C
Case I :
A : B : C = 1 : 1 : 1 5 4 8
[LCM of 5, 4 and 8 = 40]
A : B : C = 8 : 10 : 5
Sum of the terms of ratio = 8 + 10 + 5 = 23
Case II :
A : B : C = 5 : 4 : 8
Sum of the terms of ratio = 5 + 4 + 8 = 17
Clearly C gains
C’s profitC’s profit = 8 × 391 - 5 × 391 17 23
C’s profit = 184 – 85 = 99 cookies
- Anil started a business with an investment of Rs. 25,000. After 3 months, Vishal joined his business with a capital of Rs. 30,000. At the end of the year, they have made a profit of Rs. 19,000. What will be Anil’s share in the profit?
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Given that , Total profit = Rs. 19,000
As per the given in question ,
Ratio of the equivalent capitals of Anil and Vishal for 1 month = 25000 × 12 : 30000 × 9
Ratio of the equivalent capitals of Anil and Vishal for 1 month = 25 × 12 : 30 × 9 = 10 : 9
Sum of the terms of ratio = 10 + 9 = 19Anil’s share = Ratio of Anil × Total profit Sum of the terms of ratio
Correct Option: A
Given that , Total profit = Rs. 19,000
As per the given in question ,
Ratio of the equivalent capitals of Anil and Vishal for 1 month = 25000 × 12 : 30000 × 9
Ratio of the equivalent capitals of Anil and Vishal for 1 month = 25 × 12 : 30 × 9 = 10 : 9
Sum of the terms of ratio = 10 + 9 = 19Anil’s share = Ratio of Anil × Total profit Sum of the terms of ratio
Anil’s share = 10 × 19000 = Rs. 10000 19
- 4% of the selling price of an article is equal to 5% of its cost price. Again 20% of the selling price is Rs.120 more than 22% of its cost price. The ratio of cost price and selling price is
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Let C.P. of article = Rs. p
Its S.P. = Rs. q
From the question ,∴ p × 5 = q × 4 100 100
Correct Option: C
Let C.P. of article = Rs. p
Its S.P. = Rs. q
From the question ,∴ p × 5 = q × 4 100 100 ⇒ p = 4 = 4 : 5 q 5
- A and B jointly made a profit of Rs.1650 and they decided to share it such that (1 / 3) of A’s profit is equal to (2 / 5) of B’s profit. Then profit of B is
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Let B’s profit be Rs. y.
∴ A’s profit = Rs. (1650 – y)
According to the question ,1650 - y = 2y 3 5
⇒ 6y = 1650 × 5 – 5y
Correct Option: B
Let B’s profit be Rs. y.
∴ A’s profit = Rs. (1650 – y)
According to the question ,1650 - y = 2y 3 5
⇒ 6y = 1650 × 5 – 5y
⇒ 6y + 5y = 8250
⇒ 11y = 8250⇒ y = 8250 = Rs. 750 11
