Dev makes 600 cakes. $18\%$ of the cakes go to a hotel and $\dfrac{2}{3}$ of the cakes go to a supermarket. Calculate how many cakes he has left.

Question

Vedantu Content Team · Accepted Answer

Hint: Start with the first piece of information, that is calculate of which are the cakes that are going to the hotel and then find $\dfrac{2}{3}$ of 600 cakes which will go to the supermarket, then subtract the total cakes with the sum of the above 2.
Total cakes given are $600$, out of which $18\%$ goes to a hotel, so let us first calculate $18\%$ of the total cakes, which is,
Cakes going to hotel: $\dfrac{{18}}{{100}} \times 600$
Which when calculated comes out to be,
$18 \times 6 = 108$
So, $108$ cakes are sent to the hotel, out of the total, $600$.
Now, let us calculate the cakes which went to the supermarket, which is $\dfrac{2}{3}$ of the cakes, which is,
Cakes going to supermarket: \[\dfrac{2}{3} \times 600\]
Which when calculated comes out to be,
\[\dfrac{{1200}}{3} = 400\]
So, \[400\] cakes are sent to the supermarket.
Now to calculate the cakes left, we will take the total cakes which is $600$ and then subtracting the sum of cakes sent to supermarket and hotel, which is,
\[600 - \left( {400 + 108} \right) = 92\]
Answer = \[92\] cakes are left
Note: Make sure you take $\dfrac{2}{3}$ of 600 and not the remaining cakes.

Dev makes 600 cakes. $18\%$ of the cakes go to a hotel and $\dfrac{2}{3}$ of the cakes go to a supermarket. Calculate how many cakes he has left.

NCERT Book Solutions

Reference Book Solutions

Question Papers

Exams

Quick Links

Dev makes 600 cakes. $18\%$ of the cakes go to a hotel and $\dfrac{2}{3}$ of the cakes go to a supermarket. Calculate how many cakes he has left.

Book your FREE Online counselling session

Your FREE Online counselling session has been booked!

Please try again later

NCERT Book Solutions

Reference Book Solutions

Question Papers

Exams

Quick Links