If 18 dolls cost -630- how many dolls can be bought for -455- 9-11-13-15-

The correct option is C 13 Number of dolls ∝ Cost of dolls ⇒ nbsp;Number of dolls = k × nbsp;Cost of dolls nbsp; where k is a constant. nbsp; That is ...

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Byju's Answer

Standard VIII

Mathematics

Relation for Direct Proportion

If 18 dolls c...

Question

If 18 dolls cost ₹630, how many dolls can be bought for ₹455?

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Solution

The correct option is C
13

Number of dolls $\propto$ Cost of dolls

$\Rightarrow Number of dolls = k \times Cost of dolls where k is a constant.$

That is, $\frac{Number of dolls}{Cost of dolls} = k$

Given cost of 18 dolls = ₹630

$∴$ $\frac{18}{630} = k - - - (i)$

Let $x$ be the number of dolls can be bought for ₹455.

$∴$ $\frac{x}{455} = k - - - (i i)$

Equating (i) and (ii)

We get $\frac{18}{630} = \frac{x}{455}$

$\Rightarrow x = \frac{455 \times 18}{630} = 13$

$∴$ Number of dolls can be bought for ₹455 = 13

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