Q51. 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:
Q52. 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?
Q53. 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:
Q54. 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?
Q55. 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:
Q56. 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?
Q57. 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?
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