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10. Direct and Inverse Proportions
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Q73 of 106 Page 310

The mass of an aluminium rod varies directly with its length. If a 16 cm long rod has a mass of 192 g, find the length of the rod whose mass is 105 g.

According to the question, the mass(m) of an aluminium rod varies directly with its length(l). Here, we use the direct proportion.


In direct proportion,


∴


⇒ k = 12


If mass of the rod = 105g


Then,


⇒


⇒ cm


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71

It is given that l varies directly as m.

(i) Write an equation which relates l and m.


(ii) Find the constant of proportion (k), when l is 6 then m is 18.


(iii) Find l, when m is 33.


(iv) Find m when l is 8.

72

If a deposit of Rs. 2,000 earns an interest of Rs. 500 in 3 years, how much interest would a deposit of Rs. 36,000 earn in 3 years with the same rate of simple interest?

74

Find the values of x and y if a and b are in inverse proportion:

a. 12 x 8


b. 30 5 y

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Questions · 106
10. Direct and Inverse Proportions
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