Nishit K Sinha Solutions for Chapter: Arithmetic, Exercise 3: Practice Exercises

A bookseller marks his books at an advance of $69\%$ on the actual cost of production. He allows a discount of $15\%$ and also given a copy free for every dozen sold at a time. What rate per cent profit does the bookseller make, if books are sold in lots of 12 ?

While returning from Dubai festival, Mr Sanjay Singh purchased a number of articles, all at a discount of $33\frac{1}{3}\%$ of the list price. However, he is required to pay a duty of $20\%$ on the his cost of goods. If he realizes a profit of $25\%$ on his outlay, what must he charge for an article priced ₹ $228$as the list price?

Two pieces of the same cloth together cost ₹$910$. On selling from the first piece as many metres as the second piece originally contained and from the second piece half as many metres as the first piece contained originally. The remaining of the first piece turned out to exceed the remaining of the second piece by $10 \mathrm{m}$. Each metre of the cloth costs ₹ $14$. How many metre of cloth did each piece originally contain?

Rupesh marks up an article by $\mathrm{p}\%$, gives a discount of $\frac{\mathrm{p}}{4}\%$ and gets a profit of $\frac{\mathrm{p}}{4}\%$. Had he marked up by $\frac{\mathrm{p}}{2}\%$ and given a discount $\frac{\mathrm{p}}{6}\%$, what would be his profit percentage?

Amit bought two cars. He then sold the first car at $10\%$ profit and the second one at $25\%$ profit. The selling price of the second car is $25\%$ more than the selling price of the first car. What is the approximate profit per cent in both the cars together?

In a joint venture, Ramesh invested$₹6 \mathrm{lakhs}$ as fixed cost. While Suresh had to pay the variable cost for every three months in advance (i.e., for the first three months at the start of first month and for the next three months at the start of the fourth month and so on).

Table for costs is given below:

For the first three months, they produced $1,00,000$ units per month, and for the next three months, they produced $1,50,000$ units per month.
All units produced were sold at $₹ 4$each. After six months, they sold their company for $₹ 2,00,000$ and divided total profit according to their investments. Find out the total profit.

The CP of a dozen mangoes is equal to the selling price of $10$mangoes. The SP of apples per piece is the cost price of a mango (per piece). If the profit $\%$made on selling an apple is half that of selling a mango, then what is the cost of an apple if the selling price of one mango is $₹\mathrm{X}$?

Company ABC starts an educational program in collaboration with Institute XYZ. As per the agreement, ABC and XYZ will share profit in $60:40$ ratio. The initial investment of$100,000$ on infrastructure is borne entirely by ABC whereas the running cost of $400$per student is borne by XYZ. If each student pays $₹200$for the program, find the minimum number of students required to make the program profitable, assuming ABC wants to recover its investment in the very first year and the program has no seat limits.