NCERT Solutions for Chapter: Comparing Quantities, Exercise 1: Exercise

A new movie was released on Friday, $150$seats were booked that day. The booking for the movie increased to $300$seats on Saturday. What was the percent increase in the number of seats booked on Saturday?

The cost of a ticket for the show is $₹250$. Ayush got a $20\%$ discount on buying a ticket through online booking. How many rupees did Ayush pay for the ticket?

Asha has some money to spare. She wants to deposit $₹15000$ for $3$ years and $₹10,000$ for $8$ years in a bank to earn interest. She has two banks to choose from. Bank $A$ gives an interest of $6\%$ per annum compounded annually and bank $B$ gives $7\%$ per annum simple interest. Which bank is a better choice for depositing $₹15,000$? Justify your choice.

Gupta Chat Bhandar is very famous for its sev puri. A curious customer tries the recipe for Bhel by mixing Sev, Chatni, and puffed rice in the ratio $5 : 3 : 4$. However, on tasting it, he realizes that the dish was still not up to the mark, so adds a little bit of chatni and sev. The ratio of the respective ingredients is now $4 : 5 :3$. If $132 \mathrm{g}$ of Chatni was added, find the amount of puffed rice in the Bhel.

Akhil and Bimal are partners sharing profits in the ratio of $3:2$. Akhil gave loan to the firm of $₹1,00,000$ on $1$st October $2021$. On the same date, the firm gave loan to Bimal of $₹1,00,000$. They do not have an agreement as to interest.

Akhil had also given his personal property for firm's go-down at a monthly rent of $₹5,000$.

Firm earns profit of $₹1,03,000$ (before above adjustments) for the year ended $31$st March $2022$. Show the distribution of profit for the year.

To complete a piece of work, Samir takes $6$ days and Tanvir takes $8$ days alone respectively. Samir and Tanvir took $₹2400$ to do this work. When Amir joined them, the work was done in $3$ days. What amount was paid to Amir?

If $₹6200$ amounts to $₹9176$ in $4$ years at simple interest. If the interest rate is increased by $3 \%$ it would amount to how much?

Three persons Vinod, Rajesh and Amitabh enter into a partnership with capitals of $₹74,000, ₹1,11,000$ and $₹1,48,000$ respectively. From the annual profit of $₹62,000$ Rajesh is first paid a monthly salary of $₹1,000$and then a commission of $10\%$ of the remaining profit is paid to Vinod. The balance amount is divided among the three partners in the ratio of their capitals. Approximately what percentage of the total profit is Vinod's share?