Question

A shopkeeper offers his customers 10%discount and still makes a profit of 26% .what is the actual cost to him if the marked rs560.​

Answer 1

Answer:

rs 400

Step-by-step explanation:

marked price= rs 560

discount 10% of 560= rs 56

selling price=560-56=rs 504

profit is 26%

Let C.P be x

S.P= C.P + profit

504=x + x × 26/100

504 × 100 = 100x + 26x

50400 = 126x

x = 50400/ 126

x = rs 400

The cost price is rs 400

Answer 2

Step-by-step explanation:

Given:-

• Marked price = Rs.560

• Discount % = 10%

• Profit made = 26%

To Find:-

• The cost price.

Solution:-

The Market price (MP) = Rs.560

Discount % = 10%

$\rm \dashrightarrow Discount = Discount \% \: \: of \: MP$

$\rm= 10 \% \: \: of \: 560$

$\rm = \dfrac{10}{100}\times 560$

$\rm = 56$

$\rm \dashrightarrow Discount = Rs.56$

Now, Selling Price (SP) = Marked price (MP) - Discount

⇢ SP = 560 - 56

⇢ SP = 504

$\rm \dashrightarrow Selling \: price \: (SP)= Rs.504$

Now,let us find the Cost price

$\rm \dashrightarrow CP = \dfrac{100}{100 + Profit\%} \times SP$

$\rm \dashrightarrow CP = \dfrac{100}{100 + 26} \times 504$

$\rm \dashrightarrow CP = \dfrac{100}{126} \times 504$

$\rm \dashrightarrow CP =100 \times 4$

$\rm \dashrightarrow CP = 400$

$\underline{\boxed{\purple{\rm \therefore Cost \: price\: of \: the \: article = Rs.400}}}$