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Question

Rohit bought 12 registers for Rs 156, find the cost of 7 such registers. (in Rs.)

A
91
Solution
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Correct option is A. 91
Let the cost of $$7$$ registers be $$Rs.x$$
Register $$12$$ $$7$$
Cost ( in Rs. ) $$156$$ $$x$$
If he buys less number of registers, the cost will also be less.
$$\therefore$$ It is a direct variation.
$$\Rightarrow$$ $$12:7=156:x$$
$$\Rightarrow$$ $$\dfrac{12}{7}=\dfrac{156}{x}$$

$$\Rightarrow$$ $$x=\dfrac{156\times 7}{12}$$

$$\Rightarrow$$ $$x=Rs.91$$

$$\therefore$$ The cost of $$7$$ such registers will be $$Rs.91.$$

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