Question

If 8 oranges cost ₹10.40, how many oranges can be bought for ₹33.80 ?

• A. 21
• B. 23
• C. 25
• D. 26

Answer 1

The correct option is D

26

Number of oranges $\propto$ Cost of oranges

$\Rightarrow \text{Number of oranges = k}\times \text{Cost of oranges where k is a constant.}$

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

Given cost of 8 oranges = ₹10.40

$\therefore$ $\frac{8}{10.40}=k---\left(i\right)$

Let $x$ be the number of oranges can be bought for ₹33.80.

$\therefore$ $\frac{x}{33.80}=k---\left(ii\right)$

Equating (i) and (ii)

We get $\frac{8}{10.40}=\frac{x}{33.80}$

$\Rightarrow x=\frac{33.80\times 8}{10.40}=26$

$\therefore$ Number of oranges can be bought for ₹33.80 = 26