Profit and Loss
- A invests $ 64,000 in a business. After few months B joined him with $ 48,000. At the end of year, the total profit was divided between them in the ratio 2 : 1. After how many months did B join?
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B entered after y months.
Ratio of equivalent capitals for 1 month = 64000 × 12 : 48000 (12 – y) = 16 : (12 – y)∴ 16 = 2 ⇒ 24 - 2y = 16 12 - y 1
Correct Option: B
B entered after y months.
Ratio of equivalent capitals for 1 month = 64000 × 12 : 48000 (12 – y) = 16 : (12 – y)∴ 16 = 2 ⇒ 24 - 2y = 16 12 - y 1
⇒ 2y = 8 ⇒ y = 4 months
- The cost price and selling price of an article is a : b. If b is 200% of a then the percentage of profit on cost price is
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Given that , The cost price and selling price of an article = a : b
According to question ,b = a × 200 = 2a 100 b = 2 ⇒ b - 1 = 2 - 1 a a
Correct Option: C
Given that , The cost price and selling price of an article = a : b
According to question ,b = a × 200 = 2a 100 b = 2 ⇒ b - 1 = 2 - 1 a a ⇒ b - a = 1 ⇒ b - a × 100 = 100 a a
∴ Gain percent = 100%
- If the cost price and selling price of an article are in the ratio 10 : 11, then the percentage of profit is :
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Let Cost price = 10k
Selling price = 11k
Gain = Selling price - Cost price = 11k - 10k = k∴ Gain percent = k × 100 10k
Correct Option: A
Let Cost price = 10k
Selling price = 11k
Gain = Selling price - Cost price = 11k - 10k = k∴ Gain percent = k × 100 10k Gain percent = 1 × 100 = 10% 10
- If the ratio of cost price and the selling price is 5 : 6, the gain percent is
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The ratio of cost price and the selling price = 5 : 6
Let the cost price = 5k and the selling price = 6k.
Gain = selling price - cost price = 6k - 5k = kGain % = Gain × 100 cost price
Correct Option: A
The ratio of cost price and the selling price = 5 : 6
Let the cost price = 5k and the selling price = 6k.
Gain = selling price - cost price = 6k - 5k = kGain % = Gain × 100 cost price Gain % = k × 100 = 20% 5k
- An article is sold at 5% profit. The ratio of selling price and cost price will be
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Let C.P. be 100 then,
S.P. = 105 [gain being 5%]
Required ratio = 105 : 100 = 21 : 20
We can find required answer with the help of given formula :
Here , Profit = 5%C.P. = 100 S.P. 100 + profit% Required ratio = 100 100 + 5
Correct Option: C
Let C.P. be 100 then,
S.P. = 105 [gain being 5%]
Required ratio = 105 : 100 = 21 : 20
We can find required answer with the help of given formula :
Here , Profit = 5%C.P. = 100 S.P. 100 + profit% Required ratio = 100 100 + 5 Required ratio = 100 = 20 = 20 : 21 105 21
