Home
Class 10
MATHS
On selling a tea-set 5% loss and a lemon...

On selling a tea-set 5% loss and a lemon-set at 15% gain, a crockery seller gains Rs. 7. If he sells the tea-set at 5% gain and the lemon-set at 10% gain, he gains Rs. 13. Find the actual price of the tea-set and the lemon-set.

Text Solution

Verified by Experts

Let the cost price of the tea-set and 15% gain on lemon-set
Loss on tea-set = Rs. `(5x)/(100)`
Gain on lemon-set = Rs `(15y)/(100)`
But net gain = Rs. 7
implies `(15y)/(100) - (5x)/(100) = 7 implies 15y - 5x = 700 implies -x + 3y = 140 " ...(1)"`
Case II : When 5% gain on tea-set and 10% gain on lemon-set
Gain on tea-set = Rs. `(5x)/(100)`
Gain on lemon-set = Rs. `(10 y)/(100)`
But net gain = Rs. 13
implies `(5x)/(100) + (10y)/(100) = 13 implies 5x + 10y = 1300 implies x + 2y = 260 " ...(2)"`
Adding equations (1) and (2), we get
5y = 400 implies y = 80
Putting y = 80 in equation (1), we get
x = 3 (80) - 140 = 100
`therefore` Cost of tea-set = Rs. 100 and the cost of lemon-set = Rs. 80
Promotional Banner

Topper's Solved these Questions

  • LINEAR EQUATIONS IN TWO VARIABLES

    NAGEEN PRAKASHAN|Exercise Exercise 3a|18 Videos

  • LINEAR EQUATIONS IN TWO VARIABLES

    NAGEEN PRAKASHAN|Exercise Exercise 3b|30 Videos

  • INTRODUCTION TO TRIGONOMETRY

    NAGEEN PRAKASHAN|Exercise Revision Exercise Long Answer Questions|5 Videos

  • POLYNOMIALS

    NAGEEN PRAKASHAN|Exercise Revision Exercise Long Answer Questions|4 Videos

Similar Questions

Explore conceptually related problems

On selling a pen at 5% loss and a book at 15% gain, Karim gains Rs 7. If he sells the pen at 5% gain and the book at 10% gain, then he gains Rs 13. The actual price of the book is

On selling a T.V.at 5% gain and a fridge at 10% gain,a shopkeeper gains Rs.2000. But if he sells the T.V.at 10% gain and the fridge at 5% loss.he gains Rs.1500 on the transaction. Find the actual prices of T.V.and fridge.

A person buys two watches for Rs. 1,000. He sells one at a loss of 5% and the other at 20% gain and on the whole he gains Rs. 50. Find the cost price of each watch.

A dealer gets Rs. 30 less if instead of selling a chair at a gain of 12% he sells it at a gain of 8%. Find the cost price of the chair?

By selling a radio for Rs 903, a shop keeper gains 5%. Find the cost price of the radio.

A dealer get Rs 30 less if instead of selling a chair at 12% gain he sells it at a gain of 8%. Find the cost price of the chair.

A dealer gets Rs.56 less if instead of selling a chair at a gain of 15%, its it is sold at a gain of 8% Find the cost price of the chair.