A vessel is full of mixture of spirit and… | Answer

Subject

Quantitative Aptitude

Topic

Miscellaneous

A vessel is full of mixture of spirit and water in which there is found to be 17% of spirit by measure. Ten litres are drawn off, and the vessel is filled up with water. The proportion of spirit is now found to be $15\frac{1}{9}\%$ How much does the vessel hold ?
Reading

ক)

30 litres

খ)

60 litres

গ)

90 litres

ঘ)

120 litres

ঙ)

None of these

Explanation

Let the volume of the vessel be v. Given, 17 % of the vessel is filled with spirit. ∴ volume of spirit present = 17% of v ⇒ volume of spirit present = 0.17v Now, 10 liters are drawn off, ∴ total volume remaining = v – 10 In 10 liters volume of spirit present = 17% of 10 = 1.7 liters Thus, volume of spirit remaining = 0.17v – 1.7 As the container is filled with the water again ⇒ % of spirit present now = [(0.17v – 1.7) / (v)] × 100 % Given in question, % of spirit present in the new situation is 136/9 % ⇒ 136/9 = [(0.17v – 1.7) / (v )] × 100 ⇒ 136v = 153v – 1530 ⇒ 17v = 1530 ⇒ v = 90 litres

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A vessel is full of mixture of spirit and water in which there is found to be 17% of spirit by measure. Ten litres are drawn off, and the vessel is filled up with water. The proportion of spirit is now found to be 1519%15\frac{1}{9}\%1591​% How much does the vessel hold ?Reading

A vessel is full of mixture of spirit and water in which there is found to be 17% of spirit by measure. Ten litres are drawn off, and the vessel is filled up with water. The proportion of spirit is now found to be 1519%15\frac{1}{9}\%1591​% How much does the vessel hold ?

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A vessel is full of mixture of spirit and water in which there is found to be 17% of spirit by measure. Ten litres are drawn off, and the vessel is filled up with water. The proportion of spirit is now found to be $15\frac{1}{9}\%$ How much does the vessel hold ?
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A vessel is full of mixture of spirit and water in which there is found to be 17% of spirit by measure. Ten litres are drawn off, and the vessel is filled up with water. The proportion of spirit is now found to be $15\frac{1}{9}\%$ How much does the vessel hold ?