Mahaviracharya/Ganita Sara Samgraha/Chapter VI

Mahaviracharya: Ganita Sara Samgraha Chapter $\text {VI}$: Mixed Problems

Three puranas formed the pay of one man who is a mounted soldier.

At that rate there were $65$ soldiers in all.

Some among them broke down, and the amount of their pay was given to those who remained in the field.

Of this, each man obtained $10$ puranas.

You tell me, after thinking well, how many remained in the field and how many broke down.

In how many ways can different numbers of flavours be used in combination together, being selected from:

the astringent

the bitter

the sour

the pungent

and the saline

together with the sweet taste?

$3$ merchants saw in the road a purse containing money.

One said:

If I secure this purse, I shall become twice as rich as both of you together.

Then the second said:

I shall become $3$ times as rich.

Then the third said:

I shall become $5$ times as rich.

What is the value of the money in the purse, as also the money on hand with each of the $3$ merchants?

Arrows, if they are thin cylinders, circular in cross-section, can be packed in hexagonal bundles.

Let the arrows around the circumference be $18$ in number.

How many in all are the arrows to be found in the bundle in the quiver?