Q5 of 15 Page 137

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?

Let the capacity of smaller bottle be 3x and larger bottle be 4x

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


⇒ 3x × 2 + 4x


⇒ 6x + 4x = 10x


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


⇒


⇒ 6x + 2x


⇒ 8x


Quantity in vessel 1 = 10x


Quantity in vessel 2 = 8x


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

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

 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.