Question

an article is sold for rupees 748at a loss of 6 1/2%. Find the cost price

Answer 1

Answer:

Step-by-step explanation:

since it is sold for a loss of 6 1/2 % then it is sold for (100 - 6.5) % of its original price x, namely 93,5 % of x, that is, 0.935x.

0.935x = 748

x = 748/0.935

x = 800

Answer 2

Given - Selling price and loss percentage

Find - Cost price

Solution - The cost price can be calculated by the formula -

Cost price = 100/(100 - loss%)*selling price

Loss percentage = $6 \frac{1}{2} \%$

Loss percentage = $\frac{(6 \times 2) + 1}{2} \%$

Loss percentage = $\frac{12 + 1}{2} \%$

Loss percentage = $\frac{13}{ 2} \%$

Loss percentage = 6.5%

Keep the values in formula to find the value of cost price.

Cost price = 100/(100-6.5)*748

Cost price = 100*748/93.5

Cost price = 74800/93.5

Cost price = 800

Hence, the cost price of article was Rupee 800.