Question 80

Bunty had candies and chewing gums in his sweet box in the ratio 7 : 13. After he has eaten 8 candies and 11 chewing gums the ratio became 1 : 2. How many candies does he have now?

Solution

Assuming, number of candies= x & number of chewing gums= y

Initial ratio= $$x\div y$$ =$$7\div13$$.

Therefore, $$x=(7\times y)\div13$$ .....(i)

After he has eaten 8 candies and 11 chewing gums,

Ratio= $$(x-8)\div(y-11)=1\div2$$ ......(ii)

Putting the value x in equation (ii),

We get, x=35 & y=65.

Candies he has now= 35-8= 27.

Therefore, Option D is correct.

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