The price of a diamond is directly proportional to the square of its weight. $A$ man accidentally broke the diamond into three pieces in the ratio of $3:5:7$ and thus lost ₹ $42600$. What was the original price (in ₹) of the diamond?

The incomes of $A, B$ and $C$ are in the ratio $7: 9: 12$ and their expenditures are in the ratio $8: 9: 15$. If $A$ saves one-fourth of his income,then the ratio of the savings of $A, B$ and $C$ is:

If $P: Q = 8: 15$ and $Q: R = 3: 2$,then find $P: Q: R$.

Mr. Pandit owned $950$ gold coins,all of which he distributed among his three daughters Lalita,Amita,and Neela. Lalita gave $25$ gold coins to her husband,Amita donated $15$ gold coins,and Neela made jewellery out of $30$ gold coins. The new respective ratio of the coins left with them was $20:73:83$. How many gold coins did Amita receive from Mr. Pandit?

Among $132$ examinees of a certain school,the ratio of successful to unsuccessful students is $9:2$. Had $4$ more students passed,then the ratio of successful to unsuccessful students would have been:

The ratio of the ages of a man and his wife is $4:3$. After $4$ years,this ratio will be $9:7$. If at the time of marriage,the ratio was $5:3$,then how many years ago were they married?