Question : A and B invested their money in a business in the ratio of 9: 5. If 10% of the total profit goes to charity and A’s share is INR 29,840, what is the total profit (in INR, to the nearest integer)?
Option 1: INR 51,745
Option 2: INR 55,715
Option 3: INR 57,545
Option 4: INR 51,575
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Correct Answer: INR 51,575
Solution : Investment ratio of A and B = 9: 5 Share of A = INR 29840 According to the question, Since 10% of the total profit goes to charity So, $\frac{9}{9+5}$ of (90% of total profit) = 29840 ⇒ 90% of total profit = $\frac{29840 × 14}{9}$ So, the total profit = $\frac{29840 × 14 × 100}{9 × 90}$ = 51575.3 Hence, the correct answer is INR 51,575.
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Question : A and B invested money in a business in the ratio of 7 : 5. If 15% of the total profit goes to charity and A's share in the profit is Rs. 5,950, then what is the total profit?
Option 1: Rs. 12,500
Option 2: Rs. 12,000
Option 3: Rs. 10,500
Option 4: Rs. 11,750
Question : A sum of INR 1,250 has to be distributed among A, B, C, and D. The Total share of B and D is equal to $\frac{14}{11}$ of the total share of A and C. The share of D is half of the share of A. The share of C is 1.2 of the share of A. What are the shares of A, B, C and D respectively?
Option 1: INR 250, INR 575, INR 300, INR 125
Option 2: INR 350, INR 525, INR 300, INR 125
Option 3: INR 250, INR 525, INR 300, INR 125
Option 4: INR 250, INR 575, INR 300, INR 175
Question : P and Q start a shop with a capital of INR 1,50,000 and 4,50,000, respectively. After a year, out of the profit of INR 2,00,000, P gets his share of the profit plus some money as his salary which is not a part of the profit. If P gets a total of INR 90,000, what is the amount of salary (in INR ) that he received?
Option 1: 20,000
Option 2: 25,000
Option 3: 50,000
Option 4: 40,000
Question : A, B, and C started a business with initial investments of INR 20,000, INR 25,000, and INR 10,000, respectively. After 5 months from the start, A invested INR 4000 more. After 6 months from the start, C invested INR 8000 more. After 4 months from the start, B withdrew INR 8,000. At the end of the year, they will receive a profit of INR $x$. In what ratio they will share the profits?
Option 1: 71 : 57 : 42
Option 2: 71 : 59 : 42
Option 3: 59 : 68 : 42
Option 4: 67 : 59 : 42
Question : A, B, and C together invest INR 53,000 in a business. A invests INR 5,000 more than B and B invests INR 6,000 more than C. Out of a total profit of INR 31,800, find the share of A.
Option 1: INR 12,800
Option 2: INR 12,500
Option 3: INR 13,500
Option 4: INR 13,800
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