51. In a box of fruit, 45% of the fruits are mangoes while the rest are papayas. If 20% of the fruits are rotten and the rest are in good condition, and 40% of the good fruits are mangoes, then the percentage of papayas in the rotten fruits is:
52. Rishi and Mohan had some marbles. Mohan gave 12.5% of his marbles to Rishi. As a result, Rishi’s count of marbles increased by 20%. What is the new ratio of the number of marbles with Rishi to that with Mohan?
53. There are two bags filled partly with sand. If we reduce the weight of the first bag by 10% and increase the weight of the second bag by 20%, the net increase in the total weight will be 5 kg. On the other hand, if we increase the weight of the first bag by 20% and reduce the weight of the second bag by 10%, the net increase in the total weight will be 2 kg. The original weight of the first bag, in kg, is:
54. In 2020 the ratio of tariff to number of existing users was 1: 40 for Airsel. In 2020, when Airsel increased the tariff by 20%, the number of users decreased by 20%. In 2021, Airsel again increased its tariff pack by 10% and number of users further decreased by 15%. Which of the following could be the current tariff (in Rs.) among the choices, if tariff is always a natural number?
55. Ramlal, a fruit vendor, sells only apples and oranges. One day in the morning, he bought the two types of fruits in the ratio 3: 5 respectively. Later on, he found that 8% of the apples and 12% of the oranges were rotten. At the end of the day, he was left with 24 fruits, which accounted for 4% of the total number of fruits that he had bought in the morning. On the given day, if Ramlal sold only those fresh fruits that he had bought in the morning and disposed of all the rotten fruits during the course of the day, the number of fruits sold by Ramlal was:
56. The percentage volumes of liquid ‘A’ in three solutions – I, II and III – form a geometric progression in that order. If we mix I, II and III solutions in the ratio 2: 3: 4, we obtain a solution containing 32% of A. If we mix them in the ratio 3: 2: 1, we obtain a solution containing 22% of A. What is the percentage of liquid A in II?
57. The marks scored by Pankaj in three subjects are in the ratio 4: 5: 6. Pankaj scored an overall aggregate of 62.5% in the exam. If the maximum marks in each subject are in the ratio 3: 4: 5, in how many subjects did Pankaj score more than 65% marks?
58. 34% out of 250 students take tuition for Sanskrit, 30% take tuition for only Hindi. If 35 students take tuition for Hindi and Mathematics but not for Sanskrit, what is the percentage of students taking tuition for only Mathematics? Assume that all 250 students take tuition for at least one of the three (i.e., Sanskrit, Hindi and Mathematics) subjects.
59. In a brick plant the production of bricks increased by 30% and productivity per labour (i.e. the number of bricks made by each worker in given time period) increased by 444⁄9% during a certain period. Find the percentage by which the number of workers of the factory increased / decreased during the same period.
60. There are three sections of Std. V class and 40% students of each section are girls. If the school admits 13 new students to each of the three sections of Std. V class and all the new students admitted are girls, the new number of girls in the three sections taken together becomes 60% of the original strength of the Std. V class (i.e., the three sections taken together). What was the total strength of Std. V class?
61. Out of all employees of a company, 30% of the employees earn Rs. 45000 per month, while remaining employees earn Rs. 30000 per month. Out of female employees, number of employees earning Rs. 30000 per month is twice the number of female employees earning Rs. 45000 per month. Equal number of male and female employees earn Rs. 45000 per month. What percent of the total employees is the male employees earning Rs. 30000 per month?
62. The cost of rice of type A and B rose by 10% and 8% respectively in the month of October. In the month of October, a customer bought 10 kg and 25 kg of rice of type A and type B respectively such that the amount spent on A in September was equal to that spent on A in October, and the same was true for B as well. How much total quantity of rice (i.e. type A and type B taken together) the customer must have purchased in September (in kg)?
63. On a particular day, a fruit vendor has 65% of oranges and remaining sweet limes. Number of sweet limes is less than that of oranges by 30 dozens. The fruit vendor sold 75% of the fruits of which 72% were oranges. How many dozens of sweet limes are left unsold on that day?
64. Tuition fees paid by Rajas, Omkar and Pramath per year were in the ratio 7: 7: 8 in the year 2019. For Rajas, the fees increased by Rs. 200 and Rs. 100 in alternate years while for Pramath the increase was Rs. 100 every year. By what percentage was Omkar’s fees in 2019 higher than that in 2015, if the ratio of the fees paid by Rajas, Omkar and Pramath in 2015 was 4: 5: 6?
65. Currently there are 1,00,000 people living in a town named Bankaranpur, out of which 1% people are doctors. This year, new chemical factories were started in Bankaranpur and a number of engineers from other places migrated to the town to work in the factories. After that, the percentage of doctors in Bankaranpur dropped to 0.8%. How many engineers from other places migrated to Bankaranpur, if it is known that only engineers from other places migrated to the town and no other changes took place in the population of the town?
66. Arif has a few chocolates with him, while Amir and Asad initially have no chocolates with them. Arif distributed some of the chocolates with him to Amir and Asad such that Amir has 25% more chocolates than the number of chocolates left with Arif after distribution and Asad has 40% fewer chocolates than Amir. Later, Asad distributed 20% of the chocolates with him to school children and Amir purchased 28% more chocolates than the number of chocolates with him. Now, if the number of chocolates with Arif, Amir and Asad are r, m and s respectively, what is the value of m/(r+s) ?
67. Dhruv scored 150% more than Guru in the Math test. Kamal’s score was 120% of Sonia’s score in the Math test. Sonia scored 25% more than Guru. Dhruv’s score is what percentage more than Kamal’s score?
68. Rashi’s house rent is 50% more than that of Ayushi and 75% more than that of Jyoti. Rashi’s house rent is what percent of the total house rent of Ayushi and Jyoti together?
69. Four friends A, B, C and D live in a shared accommodation. At the end of a particular month A paid 40% of the rent. Of the remaining rent, B paid 50%. Of the remaining rent, C paid 70%. D paid the remaining Rs. 918. What is the average monthly rent (in Rs.) paid by the four friends?
70. There are four identical glasses which have water in them. The volume of water in four glasses is 40%, 58%, 65% and 89%. The glasses are emptied in an empty container and then the same container is used to fill 50% volume of each glass with water. If the remaining water in the container is 208 ml, what is the final total quantity of water (in ml) in all the four glasses?
71. The students of class 10 of a school are divided into three sections – A, B and C. Out of the total students 25%, 35% and 40% students are in A, B and C respectively. If 5%, 3% and 7% students of A, B and C respectively fail in their half-yearly exam, then what is the percentage of students who passed in all?
72. Nina was to get a 50% hike in her pay but the computer operator wrongly typed the figure as 80% and printed the new pay slip. She received this revised salary for 3 months before the mistake was rectified. What percentage of her correct new salary will she get in the 4th month, if the excess paid to her in the previous 3 months is to be deducted from her 4th month?
73. Keerti went shopping for her birthday at the mall, where she purchased a dress for 28% of the money that was there in her wallet. Out of the remaining money Keerti spent 25% to pay for a pair of shoes, which was worth Rs.1,728. Then Keerti spent 12.5% of the remaining money on the purchase of some jewellery. After that she lost her wallet. Find the amount that Keerti lost.
74. Annual income of Kamal is Rs. 2,00,000 and he saves Rs. 40,000 annually. Savings up to 15% of the income are exempted from the tax and rest of the savings are charged at the rate of 5% tax. On the remaining income, tax is calculated at 10% up to Rs. 1,00,000 and 20% for the rest of the income. What is the annual tax (in Rs.) paid by Kamal?
75. Harsh bought a flat that cost him Rs.25 lakh, which depreciated at 20% in the first year, 15% in the second year and 10% in the third year. He also bought a plot of land that cost him Rs.30 lakh that appreciated at the rate of 12% in the first year, 14% in the second year and 16% in the third year. What was the change in total value of the flat and plot of land at the end of three years?
76. Sasha went to a shop to buy a dress. She spent 10% of the amount in her wallet to travel to the shop by a taxi. The amount left was equal to the list price of one of the dresses in the shop. After purchasing the dress at a 30% discount on the list price, she was able to buy a hand bag worth Rs. 580 and still save Rs. 230. What was the initial amount (in Rs.) in Sasha’s wallet?
77. The combo pack containing a brush and a paste is priced at Rs. 44. If the price of brush is decreased by 10% and that of paste is increased by 25%, then the price of the pack is Rs. 48. What is the difference (in Rs.) between the cost of a paste and a brush?
78. In a box, there are only four types of toffees, namely Coffy Bite, Pulse, Mango Bite and Pan Pasand. There are 25% more toffees of Coffy Bite than Mango Bite, 10% fewer toffees of Pulse than Coffy Bite, and 10% of the toffees are of Pan Pasand. If there are 90 toffees of Pulse, then how many toffees are there in the box?
79. Suraj appeared in six different papers in his semester examination, where the maximum marks were 50 for each paper. His marks in these papers are in the proportion 11: 10: 9: 12: 13: 8. Considering his aggregate in all the papers together, he fails to obtain 50% of the total marks. What is the minimum possible additional marks Suraj should get to obtain 50% of the total marks, given that he got integral marks in each paper?
80. Five friends A, B, C, D and E are comparing their weights. B’s weight is 33 1/3% less than that of A. C’s weight is 10% less than that of B. D’s weight is 11 1/9% less than that of C. E’s weight is 87.5% more than that of D. By what percentage is A’s weight more than that of E?
81. There are 5 cups of equal volume and each cup contains a distinct volume of water. None of the cups is completely filled or completely empty. Combining all the cups, 70% of the total volume is filled with water. The percentage of the volume that each cup is filled is an integral multiple of 10. What is the difference between the highest and lowest percentage points considering the percentage of the volume of each cup filled with water?
82. A student wrote 5 papers of equal maximum marks in his final examination. The marks he received in these papers are in the ratio 4: 7: 8: 10: 12 and his overall score is 57.4%. What is the combined percentage score in the two highest scoring papers?
We at Quantifiers understand and deliver on the personal attention each of our students requires. Whether it is through our pedagogy that enables non-engineers or non-math background students, our constant effort to proactively provide solutions, or our focus on our student’s goals.
