Arun Sharma Solutions for Exercise 1: Review Test

 A man earns$\mathrm{x}\%$ on the first $5,000$of his in vestment and$\mathrm{y}\%$ on the rest of his investment. If he earns $1250$from $7,000$and $1750$from $9,000$invested, find the value of $\mathrm{x}$.

The price of a telelvision set drops by$30\%$ while the sales of the set goes up by $50\%$ What is the percentage change in the total revenue from the sales of the set?

A man buys spirit at $600$per litre, adds water to it and then sells it at $750$ per litre. What is the ratio of the spirit's weight to the weight of the water if his profit in the deal is $37.5\%$?

Aamir, on his death bed, keeps half his property for his wife and divides the rest equally among his three sons: Bimar, Cumar and Danger. Some years later, Bimar dies, leaving half his property to his widow and half to his brothers, Cumar and Danger together, sharing equally. When Cumar makes his will, he keeps half his property for his widow and the rest he bequeaths to his younger brother Danger. When Danger dies some years later, he keeps half his property for his widow and the remaining for his mother. The mother now has $15,75,0000$

What was the worth of the total property? 

Aamir, on his death bed, keeps half his property for his wife and divides the rest equally among his three sons: Bimar, Cumar and Danger. Some years later, Bimar dies, leaving half his property to his widow and half to his brothers, Cumar and Danger together, sharing equally. When Cumar makes his will, he keeps half his property for his widow and the rest he bequeaths to his younger brother Danger. When Danger dies some years later, he keeps half his property for his widow and the remaining for his mother. The mother now has $15,75,0000$

What was the ratio of the property owned by the widows of the three sons, in the end?

At a bookstore, "MODERN BOOK STORE" is flashed using neon lights. The words are individu- ally flashed at long intervals of $2, 4, 5$. seconds respectively, and each word is put off after a second. The least time after which the full name of the bookstore can be read again, is:

A train approaches a tunnel $AB$. Inside the tunnel a cat is located at a point that is $2/5th$2/5th the distance$AB$measured from the entrance $A$. When the train whistles, the cat runs. If the cat moves to the entrance of the tunnel,$A$, the train catches the cat exactly at the entrance. If the cat moves to the exit $B$, the train catches the cat at exactly the exit.

The speed of the train is greater than the speed of the cat by what order? 

Two typists undertake to do a job. The second typist begins working one hour after the first. Three hours after the first typist has begun working, there is still $9/20$ of the work to be done. When the assignment is completed, it turns out that each typist has done half the work. How many hours would it take each one to do the whole job individually?