An Article Was Sold At A Loss Of 5%.if It Were Sold For Rs. 30 More ,

1.	An Article Was Sold At A Loss Of 5%.if It Were Sold For Rs. 30 More ,the Gain Would Have Been 1.25%. The Cost Price Of The Article Is?
Answer» Let, cost price of the article = RS.100x Then selling price = 5% loss of Cost price = C.P - loss = 100x - (5/100)100x = 100x - 5x = 95x =&GT; selling price = 95x But if he sold the product for Rs.30 more, ==> his PROFIT is 1.25%. In this case his selling price = 100x + (1.25/100) 100x = 100x + 1.25x = 101.25x => selling price = 101.25x Difference in two selling prices = Rs.30 => 101.25x - 95x = Rs.30 => 6.25x = Rs.30 => x = Rs.30 / 6.25 => x = Rs.4.8 --->Substitutingin cost price, we get Cost Price of the article = Rs. 100x = Rs. 100 * 4.8 = Rs. 480 Therefore, Cost Price of the article = Rs. 480. Let, cost price of the article = Rs.100x Then selling price = 5% loss of Cost price = C.P - loss = 100x - (5/100)100x = 100x - 5x = 95x => selling price = 95x But if he sold the product for Rs.30 more, ==> his profit is 1.25%. In this case his selling price = 100x + (1.25/100) 100x = 100x + 1.25x = 101.25x => selling price = 101.25x Difference in two selling prices = Rs.30 => 101.25x - 95x = Rs.30 => 6.25x = Rs.30 => x = Rs.30 / 6.25 => x = Rs.4.8 --->Substitutingin cost price, we get Cost Price of the article = Rs. 100x = Rs. 100 * 4.8 = Rs. 480 Therefore, Cost Price of the article = Rs. 480.

An Article Was Sold At A Loss Of 5%.if It Were Sold For Rs. 30 More ,the Gain Would Have Been 1.25%. The Cost Price Of The Article Is?

Answer»

Let, cost price of the article = RS.100x

Then selling price = 5% loss of Cost price

= C.P - loss

= 100x - (5/100)*100x

= 100x - 5x

= 95x

=&GT; selling price = 95x

But if he sold the product for Rs.30 more, ==> his PROFIT is 1.25%.

In this case his selling price = 100x + (1.25/100) * 100x

= 100x + 1.25x

= 101.25x

=> selling price = 101.25x

Difference in two selling prices = Rs.30

=> 101.25x - 95x = Rs.30

=> 6.25x = Rs.30

=> x = Rs.30 / 6.25

=> x = Rs.4.8 --->Substitutingin cost price, we get

Cost Price of the article = Rs. 100x = Rs. 100 * 4.8 = Rs. 480

Therefore, Cost Price of the article = Rs. 480.

Let, cost price of the article = Rs.100x