Mahaviracharya/Ganita Sara Samgraha
Problems by Mahaviracharya: Ganita Sara Samgraha
Chapter $\text {II}$: Arithmetical Operations
Mahaviracharya/Ganita Sara Samgraha/Chapter II
Chapter $\text {III}$: Fractions
Mahaviracharya/Ganita Sara Samgraha/Chapter III
Chapter $\text {IV}$: Miscellaneous Problems
Problem $17$ to $22$
One night, in a month of the spring season, a certain young lady ... was lovingly happy along with her husband ... on the floor of a big mansion, white like the moon, and situated in a pleasure-garden with trees bent down with the load of bunches of flowers and fruits, and resonant with the sweet sounds of parrots, cuckoos and bees which were all intoxicated with the honey obtained from the flowers therein.
Then on a love-quarrel arising between the husband and the wife, that lady's necklace made up of pearls became sundered and fell on the floor.
- One-third of that necklace reached the maid-servant there;
- One-sixth fell on the bed;
- then one-half of what remained
- (and one-half of what remained thereafter and again one-half of what remained thereafter)
- and so on, counting six times [in all] fell all of them everywhere;
- and there were found to remain (unscattered) $1,161$ pearls;
and if you know ... give out the measure of the pearls.
Chapter $\text V$: Rule of Three
Mahaviracharya/Ganita Sara Samgraha/Chapter V
Chapter $\text {VI}$: Mixed Problems
Problems $95 \frac 1 2$ and $96 \frac 1 2$
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.
Problem $219$
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?
Problem $236 \text - 237$
$3$ 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?
Problem $289$
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?
Chapter $\text {VII}$: Calculations relating to the Measurement of Areas
Problems $180 \frac 1 2$
Two pillars are of known height: $p$ and $q$.
Two strings are tied, one to the top of each.
Each of these strings is stretched so as to touch the foot of the other pillar.
From the point where the two strings meet, another string is suspended vertically till it touches the ground.
What is the length $r$ of this suspended string?
Chapter $\text {VIII}$: Calculations regarding Excavations
Mahaviracharya/Ganita Sara Samgraha/Chapter VIII