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7. Ratio
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Q5 of 15 Page 137

In the above problem, what if the capacities of the bottles are in the ratio 4 : 7?

Let the capacity of smaller bottle be 4x and larger bottle be 7x

When the smaller bottle was filled twice, and the larger bottle was filled and emptied into a vessel 1


⇒ 4x × 2 + 7x


⇒ 8x + 7x = 15x


When twice the smaller and half the larger was emptied into vessel 2.


⇒


⇒


⇒


Quantity in vessel 1 = 15x


Quantity in vessel 2


Ratio of quantities of vessel


⇒


More from this chapter

All 15 →
3

The sides of a rectangle are in the ratio 4 : 5.

By what fraction should the longer side be decreased to make it a square?

4

Two quantities are in the ratio 3 : 5.

(i) If the smaller alone is made four times the original, what would the ratio be?


(ii) If the smaller is doubled and the larger is halved, what would the ratio be?

5

The capacities of two bottles are in the ratio 3 : 4. The smaller bottle was filled twice and the larger bottle was filled and emptied into a vessel. Twice the smaller and half the larger was emptied into another. What is the ratio of the quantities of water in the two vessels?

6

The breadth and length of two rectangles are in the ratio 2 : 3. In another rectangle, whose breadth is 1 centimetres less and length is 3 centimetres less than those of the first, this is 3 : 4. Calculate the breadth and length of both rectangles.

Questions · 15
7. Ratio
1 2 3 4 4 4 4 1 2 3 3 4 5 5 6
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