Question

$20$ kg of patato cost as much as $30$ kg of onion, $15$ kg of onion cost as much as $18$ kg of cabbage.. if $10$ kg of cabbage cost Rs.$50$ find the cost of $24$ kg of patato.

• A. Rs. $216$
• B. Rs.$72$
• C. Rs.$108$
• D. Rs.$96$

Answer 1

The correct option is A Rs. $216$

Let Cost of Onion be X.

Then,Cost of 1kg Cabbage=$\frac{50}{10}=5$

Now,Cost of 18kg Cabbage=$18\times 5$

Also,Cost of 15kg Onion=Cost of 18kg of Cabbage

Therefore,

$15\times X=18\times 5$

$=>X=6$

Let cost of 1 kg of Potato be Y.

Cost of 20kg of Potato=Cost of 30kg of Onion

$20\times Y=30\times 6$

$Y=9$

Therefore,Cost of 24kg Potato=$24\times 9=216$