Cluster · Ratio and Proportion Distribution Problems
| Question | Category | Subtype | Difficulty | |
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A sum of ₹x is divided between A, B, C, and D such that the ratio of the shares of A and B is 2 : 3, that of B and C is 8 : 9 and that of C and D is 3 : 4. If C's share is ₹4,347, then the value of x is: pipeline-1269974
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mp_police | — | intermediate | |
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A sum of Rs 8,200 was divided among A, B, and C in such a way that A has Rs 500 more than B, and C has Rs 300 more than A. How much was A's share (in Rs)? pipeline-1309584
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bihar_police | — | intermediate | |
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If A and B shared Rs. 5600 in the ratio 5 : 9, how much did B get? pipeline-435659
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bihar_police | — | intermediate | |
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The amounts won by C and F are divided into 3 parts in the ratios 4 : 5 : 6 and 2 : 5 : 3 respectively. Find the difference between the largest part from the amount won by C and the smallest part from the amount won by F. pipeline-1353029
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up_police | — | intermediate | |
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(3/5)th part of Saral's amount is equal to (6/7)th of Priya's amount. The duo has the total of Rs. 3570. How much money does Priya have (in Rs)? pipeline-1197978
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up_police | — | intermediate | |
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A person distributed his funds among his two sons A, B, and his wife. The ratio of amounts given to A and B is 5 : 6 and the ratio of the amount given to son A and his wife is 2 : 4. If the total amount the person had is Rs.2310. What is the amount given to his wife? pipeline-1112414
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up_police | — | intermediate | |
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Rs.1092 is divided among 2 men, 6 women and 8 boys so that the shares of a man, a woman and a boy are in the ratio 3 : 2 : 1. Then, how much does a man get? (In Rs.) pipeline-1112415
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up_police | — | intermediate | |
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Out of the total toffee, \(\frac{1}{10}\) are wasted, 35% of the rest are given to S and \(\frac{1}{8}\) of the total are given to N. If the toffee with N are 10 more than wasted toffee, then how many toffee are given to S? pipeline-1170032
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up_police | — | intermediate | |
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Rs 8400 is divided among P, Q, and R in the ratio of \(\frac{2}{3}:3:\frac{1}{3}\) respectively. What is the share of R? pipeline-1170355
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up_police | — | intermediate | |
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Kishore had a precious ruby worth Rs.63,888 with him. While showing it to one of his friends, it fell down and broke into 4 pieces, the weights of which are proportional to 1 : 2 : 3 : 5. The value of each of the pieces is directly proportional to cube of its weight. What is the loss that Kishore is going to face, as the stone fell down and broke into pieces? pipeline-1141830
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up_police | — | intermediate | |
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If 450 apples are distributed among Sita, Reeta, and Geeta in the ratio of 27 : 11 : 7. How many more apples does Sita have than Reeta? pipeline-1146061
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up_police | — | intermediate | |
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A sum of Rs. 980 is divided among A, B and C such that A gets \(\frac{3}{7}\) of B's share and C gets 75% of A's share. The share of C. pipeline-1116097
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up_police | — | intermediate | |
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Divide Rs 14136 among A, B, and C such that 2 times A's share, 3 times B's share, and 5 times C's share are all equal. What is the share of C? pipeline-1109250
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up_police | — | intermediate | |
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A certain amount of money is to be distributed among three friends Ajay, Vijay, and Anuj in the ratio 40 : 29 : 39. The difference between the amount of Ajay and Vijay is Rs. 4950. Find the total amount of money to be distributed among three of his friends. pipeline-703535
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rpf | — | intermediate | |
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The father divides his property between his son and daughter. The ratio of father to son and son to daughter is 5 : 2, such that the daughter gets Rs 400. Find the sum of the share of father and son. pipeline-563696
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rpf | — | intermediate | |
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Some amount of money is distributed among three friends A, B, and C in the ratio 5 : 3 : 8. If the excess profit of A as compared to B is Rs. 600, then what is the total profit (in Rs.) shared among the three friends? pipeline-539679
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rpf | — | intermediate | |
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A person divided his total wealth among his son, daughter and wife and he kept the remaining part with himself as savings. Ratio of share of son to daughter is 3 : 2 while ratio of share of wife to savings is 3 : 1. The ratio of share of the son to savings is 3 : 1 and his savings is Rs.3000. What is the total wealth of person? pipeline-503954
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rpf | — | intermediate | |
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A certain amount of money is divided among P, Q & R. If P receives 12% more than Q and Q receives 50% more than R. If R receives Rs 4800, find the amount received by P. pipeline-703639
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rpf | — | intermediate | |
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Rs.45900 is divided in the ratio of 2 : 5 : 4 : 7 between A, B, C, and D respectively. What is the share of B? pipeline-703661
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rpf | — | intermediate | |
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Ram, Rajesh, and Ravi divide a certain amount in the ratio of 4 : 3 : 2. If 3/5th of the sum of money received by Ram and Ravi is Rs 3840 more than the 1/5th of the money received by Rajesh. What is the total amount that is divided among them? pipeline-703660
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rpf | — | intermediate | |
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Four friends A, B, C, and D are distributing money themselves then what will be the respective amounts when 2160 is divided in the ratio 2 : 3 : 4 : 3? pipeline-614750
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rpf | — | intermediate | |
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If 450 apples are distributed among Sita, Reeta, and Geeta in the ratio of 27 : 11 : 7. How many excess apples Sita would have more than Reeta? pipeline-613041
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rpf | — | intermediate | |
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Four friends A, B, C, and D are distributing money themselves then what will be the respective amounts when 2160 is divided in the ratio 2 : 3 : 4 : 3? pipeline-654688
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rpf | — | intermediate | |
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A sum of certain money is divided between A and B in the ratio of 3 : 5. If A gives Rs 22.5 to B then the ratio becomes 1 : 2. Find the sum. pipeline-563817
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rpf | — | intermediate | |
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Divide 1,380 among A, B and C, so that A gets 5 times of C and 3 times of B. pipeline-503333
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rpf | — | intermediate | |
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A sum of Rs. 4800 is to be distributed among P, Q and R such that P gets 1/3rd of what Q and R together get and R gets 1/4th of what P and Q together get. Find Q’s share. pipeline-1289257
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banking | — | intermediate | |
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Some amount of money is distributed among three friends A, B, and C in the ratio 5 : 3 : 8. If the excess profit of A as compared to B is Rs. 600, then what is the total profit (in Rs.) shared among the three friends? pipeline-1201262
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banking | — | intermediate | |
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An amount of ₹72 is divided between X, Y, and Z in such a way that X gets ₹6 more than Y, and Y gets ₹9 more than Z. What is the ratio of their shares? pipeline-1262945
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banking | — | intermediate | |
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Three friends Ram, Shyam and Mohan order a pizza at 550 rupees. They decide to pay the money as the share of the pizza. If Ram eats 40% of the pizza alone and Shyam and Mohan eat the remaining equally, then how much money will Shyam pay? pipeline-1252432
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banking | — | intermediate | |
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A person distributed his funds among his two sons A, B, and his wife. The ratio of amounts given to A and B is 5 : 6 and the ratio of the amount given to son A and his wife is 2 : 4. If the total amount the person had is Rs. 2310. What is the amount given to his wife? pipeline-1318956
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defence | — | intermediate | |
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Rs. 499 is divided among three friends Ajay, Harsh, and Rahul. Find Ajay's share. i) Harsh gets Rs. 20 more than Rahul ii) Ajay gets Rs. 5 more than Rahul iii) Ajay gets Rs. 15 less than Harsh pipeline-1301864
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defence | — | intermediate | |
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Ram, Shyam and Ghanshyam have ₹32, ₹46 and ₹50, respectively, with them. Their mother asks them to give her equal amounts so that the money held by them now are in continued proportion. Find the amount taken from each of them. pipeline-1251964
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defence | — | intermediate | |
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₹7,786 is divided among A, B, and C in such a manner that the ratio of the amount of A to that of B is 3 : 4 and the ratio of the amount of B to that of C is 12 : 13. The amount of money received by B is: pipeline-1264283
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ib | — | intermediate | |
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Ram, Shyam and Ghanshyam have ₹32, ₹46 and ₹50, respectively, with them. Their mother asks them to give her equal amounts so that the money held by them now are in continued proportion. Find the amount taken from each of them. pipeline-1263607
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ib | — | intermediate | |
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A sum of money is divided among A, B and C in the ratio 3 : 2 : 5 respectively. If C's share is Rs 300 more than B's, then how much more money will A get than B? pipeline-1253398
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ib | — | intermediate | |
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Rs. 1118 is divided among 2 men, 6 women, and 8 boys so that the share of a man, a woman, and a boy are in the ratio 3: 2: 1. Then, how much does a man get? (In Rs.) pipeline-1256071
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ib | — | intermediate | |
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A sum of Rs.26,550 is divided among 3 men, 2 women and 6 girls in such a way that each man, each women and each girl git money in the ratio 2 : 3 : 1. How much money does each man get (in Rs.)? pipeline-1241563
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ib | — | intermediate | |
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Rs. 499 is divided among three friends Ajay, Harsh, and Rahul. Find Ajay's share. i) Harsh gets Rs. 20 more than Rahul ii) Ajay gets Rs. 5 more than Rahul iii) Ajay gets Rs. 15 less than Harsh pipeline-1268173
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ib | — | intermediate | |
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A sum of ₹x is divided between A, B, C, and D such that the ratio of the shares of A and B is 2 : 3, that of B and C is 8 : 9 and that of C and D is 3 : 4. If C's share is ₹4,347, then the value of x is: pipeline-1233438
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ib | — | intermediate | |
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A certain sum (in ₹) is divided between A, B, C and D such that the ratio of shares of A and B is 3 : 1, that of B and C is 5 : 3 and that of C and D is also 5 : 3. If the difference between the shares of B and D is ₹1,280, then what is the difference (in ₹) of shares of A and C? pipeline-1263883
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ib | — | intermediate | |
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An amount is to be distributed between A, B, and C in the ratio 12 : 13 : 14, respectively. If C gives Rs. 150 of his shares to B, then the ratio among A, B, and C becomes 12 : 14 : 13. What is the total amount? (in Rs.) pipeline-1255846
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ib | — | intermediate | |
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₹ 9400 is distributed among P, Q, R in such a way that if ₹ 93, ₹ 24, ₹ 55 are deducted from their respective shares, then they have money in the ratio 3 : 4 : 5. What is the share of P? pipeline-1255844
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ib | — | intermediate | |
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The cost of a diamond varies directly as the square of its weight. Once, this diamond broke into four pieces with weights in the ratio of 4 : 3 : 2 : 1 .When the pieces were sold, the merchant got ₹63,000 less than that of one piece. Find the original price of the diamond. pipeline-1259446
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ib | — | intermediate | |
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A sum of ₹17,600 was divided between Jeevan, Praveen, and Kanan, such that the ratio of the sums received by Jeevan and Praveen was 5 : 8, while the ratio of the sums received by Praveen and Kanan was 3 : 2. How much money did Jeevan receive as his share? pipeline-1252503
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ib | — | intermediate | |
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A certain sum is divided between A, B, C and D such that the ratio of shares of A and B is 4: 3, that of B and C is 5 : 8 and that of C and D is 2 : 5. If the difference between the shares of B and D is ₹2,250, then the original sum is: pipeline-1237743
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ib | — | intermediate | |
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A sum of ₹2,485 is divided between A, B, and C such that the ratio of the shares of A and B is 8 : 5 and that of C and A is 4:3. What is the share (in ₹) of B? pipeline-1237752
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ib | — | intermediate | |
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If Rs. 1,313 is divided into three parts proportional to \(\frac{1}{3}: \frac{3}{5}: \frac{3}{4}\), then the second part is _________. pipeline-1194503
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delhi_police | — | intermediate | |
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Ravi initially had a certain number of chocolates, while Bhanu initially had 80% of the number of chocolates that Ravi initially had. Ravi gave 10% of his chocolates to his sister, while Bhanu received from his uncle another 35% of the number of chocolates he initially had. If Bhanu finally had 54 chocolates, how many chocolates did Ravi give to his sister? pipeline-1147241
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delhi_police | — | intermediate | |
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The cost of a diamond varies directly as the square of its weight. Once, this diamond broke into four pieces with weights in the ratio of 4 : 3 : 2 : 1 .When the pieces were sold, the merchant got ₹63,000 less than that of one piece. Find the original price of the diamond. pipeline-1157216
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delhi_police | — | intermediate | |
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A sum of Rs. 12,992 is divided among A, B, and C such that the ratio of the shares of A and C is 4: 15 and that of the shares of A and B is 2: 5. The difference (in Rs.) between the shares of B and C is: pipeline-1134493
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delhi_police | — | intermediate |