Question

 A books shop has 3/8 books on Hindi and 1/6 on Maths. If there are 12,480 books in all, find the number of books of each kind​

Answer 1

Step-by-step explanation:

In order to arrange the books as required, we have to find the largest number that divides 96,240 and 336 exactly. Clearly, such a number is their HCF.

We have,

96=2

5

×3,240=2

4

×3×5 and 336=2

4

×3×7

∴ HCF of 96,240 and 336 is 2

4

×3=48

So, there must be 48 books in each stack.

∴ Number of stacks of English books=

48

96

=2

Numberof stacks of Hindi books=

48

240

=5

Number of stacks of Mathematics books=

48

336

=7