Home
Class 10
MATHS
A businessman bought some items for Rs. ...

A businessman bought some items for Rs. 600. Keeping 10 items for himself he sold the remaining items at a profit of Rs. 5 per item. From the amount received in this deal he could buy 15 more items. Find the original price of each item.

Text Solution

Verified by Experts

The correct Answer is:
Original price of each item is Rs. 10.
Promotional Banner

Topper's Solved these Questions

  • CHALLENGING QUESTIONS

    CHETAN PUBLICATION|Exercise Arithmetic progression|6 Videos
  • CHALLENGING QUESTIONS

    CHETAN PUBLICATION|Exercise Financial planning|6 Videos
  • CHALLENGING QUESTIONS

    CHETAN PUBLICATION|Exercise Mensuration|9 Videos
  • ARITHMETIC PROGRESSION

    CHETAN PUBLICATION|Exercise ASSIGENMENT -3|10 Videos
  • CIRCLE

    CHETAN PUBLICATION|Exercise Assignment - 3 (Solve any two of the following questions):|3 Videos

Similar Questions

Explore conceptually related problems

A trader bought a number of articles for Rs 1200. Ten were damaged and he sold each.of the rest at Rs 2 more than what he paid for it, thus clearinga profit of Rs 60 on the whole transaction. Find the number of articles he bought.

A furniture dealer sells only two items namely tables and chairs. He has Rs. 10,000 to invest and a space to store atmost 60 piecs. A table costs him Rs. 500 and a chair rs. 200 He can sell a table at a profit of Rs. 50 and a chair at a profit Rs 15. Assume that he can sell all the items that he buys. By defining suitable variables. i. write the objective function ii. write the cost constraint iii. write the space constraint iv write the non negative constraint

Mr. D'souza purchased 200 shares of FV Rs 50 at a premium of Rs 100 .He received 50% dividend on the shares at a discount of Rs 10 and remaining shares were sold at a premium of Rs 75 . For each trade4 he paid the brokerage of Rs 20 .Find whether Mr. D' souza gained or incurred a loss? by how much?

An amount of Rs 65,000 is invested in three bonds at the rates of 6 % , 8% and 10% per annum respectively. The total annual income is Rs 4,800. The income from the third bond is Rs 600 more than that from the second bond. Determine the price of each bond. (Use Gaussian elimination method. )

A manufacturer has 3 machines I, II and III installed in his factory. Machines I and II are capable of being operated for utmost 12 hours whereas machine III must be operated atleast for 5 hours a day. He produces only two items A and B each requiring the use of three machines. The number of hours required for producing 1 unit of each of the items A and B on the three machines are given below. He makes a profit of Rs 7600 on item A and Rs 400 on item B. Assume that he can sell all that he produces. (i) Formulate this as a linear programming problem. (ii) Solve the L.P.P by corner point method.

A furniture dealer sells only tables and chairs. He has Rs. 12,000 to invest and a space to store 90 pieces. A tables costs him Rs. 400 and a chair Rs 100. He can sell a table at a profit of Rs. 75 and a chair at a profit of Rs. 25. Assume that he can sell the items. The dealer wants to get maximum profit. (i) By defining suitabale variables, write the objective function. (ii) Write the constraints. (iii) Maximise the objective function graphically.

A tyre manufactureing company produces tyres of cars and buses. Three machines A, B, C are to be used for the production of these typres. Machines A and C are available for operation atmost 11 hours, whereas B must be operated for atleast 6 hours a day. the time required for construction of one typre the three machines given in the following table. Comapy sells all the tyres and gets a profit of Rs. 100 Rs 150 on a tyre of a car and bus respectively. The company wants to know how many numbers of each item to be produced to maximise the profit. To formulate a linear programmining problem, (i) Write the objective function. (ii) Write all constraints.

A retired person wants to invest an amount upto Rs 20,000. His broker recommends investing in two types of bonds A and B, bond A yielding 10% return on the amount invested and bond B yielding 15% return on the amount invested. After some consideration he decides to invest atleast Rs 5,000 in bond A and not more than Rs 8,000 in bond B. He also wants to invest atleast as much in bond A as in bond B. How should he invest to maximise his return on investment?

Manufacturer can sell x items at a price of rupees (5-(x)/(100)) each. Thecost price of x items is Rs ((x)/(5)+500) . Find the number of items he should sell to earn maximum profit.