The ratio of number of cans of orange, pineapple and mixed fruit juices kept in a store is 8 : 9 : 15. If the store sells 25%, 33.33% and 20% of orange, pineapple and mixed fruit juices cans respectively, then what is the ratio of number of cans of these juices in the remaining stock?
1 : 1 : 2
Step 1 — Set initial stock: Let the cans be \(8x,\ 9x,\ 15x\).
Step 2 — Cans sold:
Orange: \(25\%\) of \(8x = 2x\). Pineapple: \(\tfrac{1}{3}\) of \(9x = 3x\). Mixed: \(20\%\) of \(15x = 3x\).
Step 3 — Remaining cans:
\(8x-2x:9x-3x:15x-3x = 6x:6x:12x = 1:1:2\).
Therefore the remaining ratio is 1 : 1 : 2.
A family income is Rs. 35,000 in a month. The family spends the income on various expenditures, viz., food, health, education, entertainment, and rent. After incurring all the expenditures, 8% is saved every month. The expenditure on health is 50% more than that of food. While food is three times of the expenditure on entertainment, the expenditure on health is half of the expenditure on education. The expenditure on rent is one-third of the combined expenditure on food, health and education. How much expenditure (in Rs.) is incurred on education?
In an examination, the number of students who passed and the number of students who failed were in the ratio 25 ∶ 4. If one more student had appeared and passed and the number of failed students was 3 less than earlier, the ratio of passed students to failed students would have become 22 ∶ 3. What is the difference between the number of students who, initially, passed the examination and the number of students who failed the examination?
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