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Question

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?

This question was previously asked in
SSC CGL 2017 (Tier 1) Previous Year Paper (16-Aug-2017) (Shift 1)
The correct answer is

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.

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Similar Questions

  1. The ratio of two numbers A and B is 5: 8. If 5 is added to each of A and B, then the ratio becomes 2 : 3. The difference between A and B is:

  2. A sum of Rs. 6342 is divided amongst A, B, C and D in the ratio 3 : 4 : 8 : 6. What is the difference between the shares of B and D?

  3. The ratio of the number of boys to that of the girls in a school is 11 ∶ 15. If there are 200 more girls than boys in the school, what is the number of boys in that school?

  4. If a 7-storey building has a 28 m long shadow, the number of storeys of the building whose shadow is 48 m long is:

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Important Questions from Simple Ratios

  1. If x : y = 5 : 2, then the value of (8x + 9y) : (8x + 2y) is:

  2. If the value of \(\frac{{p - q}}{q} = \frac{4}{3}\)  .find p : q

  3. The ratio of monthly income and expenditure of a person is 57 : 43. If he saves Rs. 42,000 per annum, What is his monthly income?

  4. Two numbers are in the ratio of 9 : 7. If the larger number is 56 more than one-seventh of the smaller, then what is the sum of the two numbers?

  5. The ratio of two numbers A and B is 5: 8. If 5 is added to each of A and B, then the ratio becomes 2 : 3. The difference between A and B is:

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