Entran
1. An article is sold for 500 and hence a los
is incurred. Had the article been sold fo
*700, the shopkeeper would have gaine
three times the former loss. What is th
cost price of the article?
UNY 20
(1) 525
(2) 550
(3) 600
(4) 3650
Answers
An article is sold for Rs 500 and hence a loss is incurred. Had the article been sold for Rs 700, the shopkeeper would have gained three times the former loss. What is the cost price of the article ?
Given :
☞ Selling price 1 = 500
☞ Selling price 2 = 700
☞ Gain = 3 times of loss
Find :
Cost price .
According to the question :
Case 1 :
☞ Selling price = Rs. 500
☞ Let the Loss = Rs. x
☞ It's Cost price = ( 500 + x )..... ( 1 st E )
Case 2 :
☞ Selling price = Rs. 700
☞ 3 times of loss
☞ so, 3 times of ' x '
Equation :
Rs. ( selling prices - Loss ) = Rs. 3 times of loss
☞ Rs. ( 700 - 500 - x ) = 3x
☞ ( 700 - 500 ) = 3x + x
☞ 4x = ( 700 + 500 )
☞ 4x = 200
☞ x = 200 / 4
☞ x = 50.
1 st equation :
The cost price = Rs ( 500 + x )
= Rs. ( 500 + 50 )
= Rs. 550.
Option B , Cost price = 550
☺
Answer:
(2) 550 is the correct answer.