Question

Dealer purchased an article for Rs 900 and fixes the list price in such a way that he gains 20% after allowing a 10% discount,then the list price is​

Answer 1

✬ List Price = Rs 1200 ✬

Step-by-step explanation:

Given:

• Cost price of article is Rs 900.
• Profit percent he made is 20%.
• Discount percent on article is 10%.

To Find:

• What is the Marked price of article?

Solution: Let the marked price of article be Rs 100x. Therefore,

➟ Selling Price = 90/100 of 100x

➟ S.P = 90/100(100x) = 90x.....(1)

[ Here, C.P and Profit % are given so S.P will be ]

★ S.P = (100 + Profit%/100) $\times$ C.P ★

$\implies{\rm }$ S.P = (100 + 20/100)900

$\implies{\rm }$ 120/100 $\times$ 900

$\implies{\rm }$ 120 $\times$ 9

$\implies{\rm }$ 1080.....(1)

A/q

• Equation 1 = 2

➮ 90x = 1080

➮ x = 1080/90

➮ x = 12

So, List price of article or M.P is

➨ 100x

➨ 100 $\times$ 12

➨ Rs 1200

Answer 2

†Question :-

Dealer purchased an article for Rs 900 and fixes the list price in such a way that he gains 20% after allowing a 10% discount,then the list price is

†Solution :-

• let the marked price be x

We know that :-

Marked price= C.P×(100 + gain%)/(100 - Discount)

$\sf → x = 900×\frac{100 + 20}{100-10}$

$\sf→ x = 900 × \frac{120}{90}$

$\sf→ x= \frac{900}{90} × 120$

$\sf → x = 10 × 120$

$\sf→ x = 1200$

Hence:-

• marked price will be = ₹ 1200