351. The profit earned after selling an article for ₹ 625 is same as the loss incurred after selling the article for ₹ 435. The cost price of the article is

1. 1. ₹ 520

   
   
   

   2. ₹ 530

   
   
   

   3. ₹ 540

   
   
   

   4. ₹ 550

   
   
   

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1. View Hint View Answer Discuss in Forum

   Let CP = x
   According to the question,
   625 - x = x - 435
   

   Correct Option: B

   Let CP = x
   According to the question,
   625 - x = x - 435
   ⇒ 2x = 1060
   ⇒ x = 1060/2 = ₹ 530

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352. If the difference between the selling prices of an article at profit of 6% and 4% ₹ 3, then the cost price of the article should be ?

1. 1. ₹ 100

   
   
   

   2. ₹ 150

   
   
   

   3. ₹ 175

   
   
   

   4. ₹ 200

   
   
   

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1. View Hint View Answer Discuss in Forum

   Let CP = N
   According to the question
   (106N/100) - (104N/100) = 3

   Correct Option: B

   Let CP = N
   According to the question
   (106N/100) - (104N/100) = 3
   ⇒ 2N/100 = 3
   ∴ N = 300/2
   = ₹ 150

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353. A man sells calculator at the rate of ₹ 250 each which includes a profit of 14%. What amount of profit while he earn in 19 days, if he sells 7 calculator per day ?

1. 1. ₹ 4665

   
   
   

   2. ₹ 4565

   
   
   

   3. ₹ 4545

   
   
   

   4. ₹ 4655

   
   
   

   5. None of the above

   
   
   

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1. View Hint View Answer Discuss in Forum

   Profit on one calculator
   = 250[1- (100/114)] = ₹ 30.70

   Correct Option: E

   Profit on one calculator
   = 250[1- (100/114)] = ₹ 30.70
   
   ∴ Total amount of the profit
   = 19 x 7 x 30.70
   = ₹ 4083.10

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354. The cost price of 24 apples is same as the selling price of 18 apples. The percentage of gain is

1. 1. 12¹/₂%

   
   
   

   2. 14²/₃%

   
   
   

   3. 16²/₃%

   
   
   

   4. 33¹/₃%

   
   
   

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1. View Hint View Answer Discuss in Forum

   Here, 6 apples are gained over 18 apple.
   ∴ Gain percent = (6/18) x 100 %

   Correct Option: D

   Here, 6 apples are gained over 18 apple.
   ∴ Gain percent = (6/18) x 100 %
   = 33¹/₃%

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355. A, B and C enter into a partnership. Their contributions are Rs. 30 lakhs, Rs. 20 lakhs, and Rs. 10 lakhs respectively. A and B are working partners while C is a sleeping partner. A and B get 10% and 15% of gross profit respectively as salary for managing the business. If at the year end C receives $ 3.75 lakhs, as profit, find the share of A.

1. 1. $ 16 Lakhs

   
   
   

   2. $ 12 Lakhs

   
   
   

   3. $ 18 Lakhs

   
   
   

   4. $ 14.25 Lakhs

   
   
   

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1. View Hint View Answer Discuss in Forum

   Let the gross profit be p
   

   A’s salary =	10	p = 0.10p
   	100

   
   B’s salary = 0.15p
   Net profit = gross profit - ( A’s salary + B’s salary )
   Net profit = p – (0.10p + 0.15p) = 0.75p
   The net profit will be shared among three partners in proportion to their capital contributions.
   ∴ Ratio of capital contributions,
   A : B : C = 30 : 20 : 10
   A : B : C = 3 : 2 : 1
   Sum of the ratios = 3 + 2 + 1 = 6
   

   C’s share in the net profit =	1	× 0.75p
   	6

   
   

   But,	0.75	p = 3.75
   	6

   
   

   ⇒ p = 6 ×	3.75
   	0.75

   
   ⇒ p = 30
   So, Gross profit = p = $ 30 lakhs
   Total share for A or B will be sum of their salary and share in the net profit.
   

   A’s share = 0.10p +	3	× 0.75p
   	6

   
   

   Correct Option: D

   Let the gross profit be p
   

   A’s salary =	10	p = 0.10p
   	100

   
   B’s salary = 0.15p
   Net profit = gross profit - ( A’s salary + B’s salary )
   Net profit = p – (0.10p + 0.15p) = 0.75p
   The net profit will be shared among three partners in proportion to their capital contributions.
   ∴ Ratio of capital contributions,
   A : B : C = 30 : 20 : 10
   A : B : C = 3 : 2 : 1
   Sum of the ratios = 3 + 2 + 1 = 6
   

   C’s share in the net profit =	1	× 0.75p
   	6

   
   

   But,	0.75	p = 3.75
   	6

   
   

   ⇒ p = 6 ×	3.75
   	0.75

   
   ⇒ p = 30
   So, Gross profit = p = $ 30 lakhs
   Total share for A or B will be sum of their salary and share in the net profit.
   

   A’s share = 0.10p +	3	× 0.75p
   	6

   
   A’s share = 0.10p + 0.375 p = 0.475 p
   [ ∵ Gross profit, p = 30 lakhs ]
   A’s share = 0.475 × 30 = 14.25 lakhs
   

   & B’s share = 0.15p +	2	× 0.75p
   	6

   
   B’s share = 0.15 p + 0.25 p
   B’s share = 0.40 × 30 = 12 lakhs

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