A, B and C invest Rs. 10,000, Rs. 35,000 and Rs. 15,000. The year's profit is Rs. 24,000. What is C's share?
Solution
Shares are in the ratio 10000 : 35000 : 15000.
C's share = 15000/60000 × 24000 = 6000.
30 moderate questions in the pattern of campus placement tests. Pick an option to check your answer, then open the step-by-step solution.
A, B and C invest Rs. 10,000, Rs. 35,000 and Rs. 15,000. The year's profit is Rs. 24,000. What is C's share?
Shares are in the ratio 10000 : 35000 : 15000.
C's share = 15000/60000 × 24000 = 6000.
A and B share profits in the ratio 6 : 7. A's money was used for 12 months and B's for 8 months. What was the ratio of their investments?
Investment × time ∝ profit, so investment ∝ profit/time.
A : B = 6/12 : 7/8 = 4 : 7.
A and B invest Rs. 40,000 and Rs. 20,000. A manages the business and gets Rs. 1500 a month as salary from the profit; the rest is shared in the ratio of investments. If the year's profit is Rs. 48,000, how much does A get in total?
A's salary = 1500 × 12 = 18000. Remaining profit = 48000 − 18000 = 30000.
A's share of the rest = 40000/60000 × 30000 = 20,000.
Total for A = 38,000.
A invests Rs. 50,000 and B invests Rs. 25,000 in a business for the same period. Out of a profit of Rs. 12,000, what is A's share?
Profit is shared in the ratio of investments: 50000 : 25000 = 2 : 1.
A's share = 2/3 × 12000 = 8000.
A starts a business with Rs. 30,000. After 6 months, B joins with Rs. 40,000. At the end of the year the profit is Rs. 26,000. What is B's share?
Capital × months: A = 30000 × 12 = 360000; B = 40000 × 6 = 240000.
Ratio = 3 : 2.
B's share = 2/5 × 26000 = 10,400.
A, B and C invest Rs. 25,000, Rs. 15,000 and Rs. 10,000. The year's profit is Rs. 45,000. What is C's share?
Shares are in the ratio 25000 : 15000 : 10000.
C's share = 10000/50000 × 45000 = 9000.
A and B share profits in the ratio 7 : 6. A's money was used for 12 months and B's for 9 months. What was the ratio of their investments?
Investment × time ∝ profit, so investment ∝ profit/time.
A : B = 7/12 : 6/9 = 7 : 8.
A and B invest Rs. 40,000 and Rs. 20,000. A manages the business and gets Rs. 500 a month as salary from the profit; the rest is shared in the ratio of investments. If the year's profit is Rs. 30,000, how much does A get in total?
A's salary = 500 × 12 = 6000. Remaining profit = 30000 − 6000 = 24000.
A's share of the rest = 40000/60000 × 24000 = 16,000.
Total for A = 22,000.
A invests Rs. 20,000 and B invests Rs. 25,000 in a business for the same period. Out of a profit of Rs. 9000, what is A's share?
Profit is shared in the ratio of investments: 20000 : 25000 = 4 : 5.
A's share = 4/9 × 9000 = 4000.
A and B invest Rs. 60,000 and Rs. 40,000. A manages the business and gets Rs. 1000 a month as salary from the profit; the rest is shared in the ratio of investments. If the year's profit is Rs. 30,000, how much does A get in total?
A's salary = 1000 × 12 = 12000. Remaining profit = 30000 − 12000 = 18000.
A's share of the rest = 60000/100000 × 18000 = 10,800.
Total for A = 22,800.
A invests Rs. 30,000 and B invests Rs. 50,000 in a business for the same period. Out of a profit of Rs. 12,000, what is A's share?
Profit is shared in the ratio of investments: 30000 : 50000 = 3 : 5.
A's share = 3/8 × 12000 = 4500.
A, B and C invest Rs. 35,000, Rs. 25,000 and Rs. 20,000. The year's profit is Rs. 24,000. What is C's share?
Shares are in the ratio 35000 : 25000 : 20000.
C's share = 20000/80000 × 24000 = 6000.
A and B invest Rs. 40,000 and Rs. 20,000. A manages the business and gets Rs. 500 a month as salary from the profit; the rest is shared in the ratio of investments. If the year's profit is Rs. 48,000, how much does A get in total?
A's salary = 500 × 12 = 6000. Remaining profit = 48000 − 6000 = 42000.
A's share of the rest = 40000/60000 × 42000 = 28,000.
Total for A = 34,000.
A invests Rs. 30,000 and B invests Rs. 45,000 in a business for the same period. Out of a profit of Rs. 21,000, what is A's share?
Profit is shared in the ratio of investments: 30000 : 45000 = 2 : 3.
A's share = 2/5 × 21000 = 8400.
A, B and C invest Rs. 35,000, Rs. 15,000 and Rs. 25,000. The year's profit is Rs. 36,000. What is C's share?
Shares are in the ratio 35000 : 15000 : 25000.
C's share = 25000/75000 × 36000 = 12,000.
A and B share profits in the ratio 4 : 7. A's money was used for 12 months and B's for 9 months. What was the ratio of their investments?
Investment × time ∝ profit, so investment ∝ profit/time.
A : B = 4/12 : 7/9 = 3 : 7.
A and B invest Rs. 30,000 and Rs. 20,000. A manages the business and gets Rs. 500 a month as salary from the profit; the rest is shared in the ratio of investments. If the year's profit is Rs. 48,000, how much does A get in total?
A's salary = 500 × 12 = 6000. Remaining profit = 48000 − 6000 = 42000.
A's share of the rest = 30000/50000 × 42000 = 25,200.
Total for A = 31,200.
A, B and C invest Rs. 30,000, Rs. 10,000 and Rs. 35,000. The year's profit is Rs. 36,000. What is C's share?
Shares are in the ratio 30000 : 10000 : 35000.
C's share = 35000/75000 × 36000 = 16,800.
A and B share profits in the ratio 2 : 5. A's money was used for 6 months and B's for 12 months. What was the ratio of their investments?
Investment × time ∝ profit, so investment ∝ profit/time.
A : B = 2/6 : 5/12 = 4 : 5.
A and B invest Rs. 60,000 and Rs. 40,000. A manages the business and gets Rs. 500 a month as salary from the profit; the rest is shared in the ratio of investments. If the year's profit is Rs. 42,000, how much does A get in total?
A's salary = 500 × 12 = 6000. Remaining profit = 42000 − 6000 = 36000.
A's share of the rest = 60000/100000 × 36000 = 21,600.
Total for A = 27,600.
A invests Rs. 40,000 and B invests Rs. 20,000 in a business for the same period. Out of a profit of Rs. 15,000, what is A's share?
Profit is shared in the ratio of investments: 40000 : 20000 = 2 : 1.
A's share = 2/3 × 15000 = 10,000.
A, B and C invest Rs. 15,000, Rs. 10,000 and Rs. 25,000. The year's profit is Rs. 24,000. What is C's share?
Shares are in the ratio 15000 : 10000 : 25000.
C's share = 25000/50000 × 24000 = 12,000.
A and B share profits in the ratio 2 : 7. A's money was used for 12 months and B's for 6 months. What was the ratio of their investments?
Investment × time ∝ profit, so investment ∝ profit/time.
A : B = 2/12 : 7/6 = 1 : 7.
A and B invest Rs. 30,000 and Rs. 20,000. A manages the business and gets Rs. 1500 a month as salary from the profit; the rest is shared in the ratio of investments. If the year's profit is Rs. 30,000, how much does A get in total?
A's salary = 1500 × 12 = 18000. Remaining profit = 30000 − 18000 = 12000.
A's share of the rest = 30000/50000 × 12000 = 7200.
Total for A = 25,200.
A starts a business with Rs. 50,000. After 3 months, B joins with Rs. 40,000. At the end of the year the profit is Rs. 26,000. What is B's share?
Capital × months: A = 50000 × 12 = 600000; B = 40000 × 9 = 360000.
Ratio = 5 : 3.
B's share = 3/8 × 26000 = 9750.
A and B share profits in the ratio 3 : 2. A's money was used for 12 months and B's for 9 months. What was the ratio of their investments?
Investment × time ∝ profit, so investment ∝ profit/time.
A : B = 3/12 : 2/9 = 9 : 8.
A and B share profits in the ratio 3 : 4. A's money was used for 8 months and B's for 12 months. What was the ratio of their investments?
Investment × time ∝ profit, so investment ∝ profit/time.
A : B = 3/8 : 4/12 = 9 : 8.
A starts a business with Rs. 30,000. After 6 months, B joins with Rs. 40,000. At the end of the year the profit is Rs. 14,000. What is B's share?
Capital × months: A = 30000 × 12 = 360000; B = 40000 × 6 = 240000.
Ratio = 3 : 2.
B's share = 2/5 × 14000 = 5600.
A, B and C invest Rs. 25,000, Rs. 30,000 and Rs. 20,000. The year's profit is Rs. 24,000. What is C's share?
Shares are in the ratio 25000 : 30000 : 20000.
C's share = 20000/75000 × 24000 = 6400.
A invests Rs. 20,000 and B invests Rs. 40,000 in a business for the same period. Out of a profit of Rs. 9000, what is A's share?
Profit is shared in the ratio of investments: 20000 : 40000 = 1 : 2.
A's share = 1/3 × 9000 = 3000.
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