Question

1. If selling an article for rupees 820 causes 10 % loss on the selling price , then find its cost price.

2. If the selling price of 10 rulers is the same as the cost price of 15 rulers , then find the profit percentage.

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Answer 1

Answer:

Given are , SP = RS 810 and loss percent = 10%

By using formula , C.P = 100/100-loss % * SP = 100/100-10*SP = 100/90*810 =

= Rs 900

Answer : Hence, CP is Rs 900.

____________________

The loss percent of given is 20%.

Solution :

The cost price of 20 books, let us denote it by Rs. M

So, the Selling Price of 25 books is denoted by Rs. M as well

Therefore, we can say that the cost price of one book is equal to and the Selling Price of a single book is

Hence, the profit or loss = S.P. - C.P.

The negative sign indicates loss.

So the loss percentage

Therefore, the loss percent in this transaction is 20%.

Answer 2

$\bf \large{ \underline{ \underline{ \pink{1)Given : }}}}$

Selling Price, SP = Rs.820

Loss = 10%

$\bf \large{ \underline{ \underline{ \green{Required \: answer : }}}}$

Find the Cost price.

$\bf \large{ \underline{ \underline{ \red{Solution : }}}}$

We have,

SP = Rs.820

Loss = 10%

$\sf \footnotesize{CP = (\frac{100}{100 - loss\%} ) \times }SP$

$\sf \footnotesize \implies{CP = ( \frac{100}{100 - 10} ) \times 820}$

$\sf \footnotesize{ = ( \frac{100}{90} \times 820)}$

$\sf \footnotesize{ = Rs.911.1}$

$\bf \large{ \underline{ \underline{ \blue{2)Given : }}}}$

SP of 10 rulers = CP of 15 rulers.

$\bf \large{ \underline{ \underline{ \green{Required \: answer : }}}}$

The profit percentage.

$\bf \large{ \underline{ \underline{ \red{Solution : }}}}$

Let CP of each ruler be Rs. x

Therefore,

CP of 10 rulers = 10x

SP of 10 rulers = CP of 15 rulers = 15x

$\sf \footnotesize{ \therefore{profit =SP - CP = 15x - 10x = 5x}}$

$\sf \footnotesize{profit\% = \frac{proft}{ CP} \times 100 = \frac{5x}{10x} \times 100 = 50\% }$

Hence, profit percent = 50%