Question

A shopkeeper allows 25% discount on the M.P of sarees and still makes a profit of 20% If he gains Rs 225 over the sake of 1 saree find the marked price of saree.​

Answer 1

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Discount= 25%

Profit = 20%

Gain = ₹225

20%of C.P = ₹225

C.P = 22×100/20

$\boxed{\bold{Rs1125}}$

S.P = C.P + Gain

= ₹1125+₹22

$\boxed{\bold{Rs1350}}$

M.P = S.P ×100/100-Discount%

= ₹1350×100/100-25

= ₹1350×100/75

$\boxed{\bold{Rs1800}}$

Marked Price of Saree = ₹1800

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Answer 2

Answer:

★Marked Prices of one saree is Rs1800★

Step-by-step explanation:

Given:

• Shopkeeper allows 25% on the Marked Price of sarees
• He still makes a profit of 20%
• He gains Rs 225 over sale of 1 saree

To Find: Marked price of saree

Solution: Let Marked Price of one saree be Rs 100

→Discount given on MP = 25%

→ Discount = Discount % / 100 x Marked Price

→Discount = 25/100 x 100 = Rs 25

Therefore,

Selling price of one saree = MP – Discount

→ (100–25) = Rs 75

★Profit = 20%

∴ Cost Price of one saree = S.P x C.P / 100 + Profit%

→ 75 x 100 / 100 + 20%

→ 7500 / 120

→ 62.50

We know that Profit = S.P – C.P = 75–62.50 = 12.50

$\small\implies{\sf }$ If the gain is 12.50 then Marked Price is 100

$\small\implies{\sf }$ If the gain is 1 then the Marked Price will be 100/12.50

$\small\implies{\sf }$ If the gain is 225 then Marked Price will be 100/12.50 x 225

$\small\implies{\sf }$ 2250000/1250

$\small\implies{\sf }$ Rs 1800

Hence, The MP of a saree is Rs 1800