An article is marked 36% above its cost price. A discount of 10% is offered on the marked price.
Later on, the article was sold by giving another discount of Rs.12.60. If there is a profit of 15.4%,
the marked price (in Rs.) of the article is:
Answers
Step-by-step explanation:
let, the marked price is Rs. x
CP of the article Rs. 100x/136 (according to question)
---->After 1st discount SP of the article is Rs. 90x/100
---->After 2nd discount SP of the article is
Rs. (90x/100-12.60)
Profit = SP-CP=Rs. (90x/100-12.60-100x/136)
= Rs. (3060x-42840-2500x)/3400
= Rs. (560x-42840)/3400
According to problem,
(560x-42840)/3400=100x/136 × 154/1000
=>(560x-42840)/3400= 154x/1360
=> 136(560x-42840)=340×154x
=> 560x-42840 = 52360x/136 = 385x
=> 560x-385x = 42840
=> 175x=42840
=> x=42840/175=244.8
Hence, Marked Price of the article is Rs. 244.8
Given:
let, the marked price is Rs. x
CP of the article Rs. 100x/136 (according to question)
---->After 1st discount SP of the article is Rs. 90x/100
---->After 2nd discount SP of the article is
Rs. (90x/100-12.60)
Profit = SP-CP=Rs. (90x/100-12.60-100x/136)
= Rs. (3060x-42840-2500x)/3400
= Rs. (560x-42840)/3400
According to problem,
(560x-42840)/3400=100x/136 × 154/1000
=>(560x-42840)/3400= 154x/1360
=> 136(560x-42840)=340×154x
=> 560x-42840 = 52360x/136 = 385x
=> 560x-385x = 42840
Hence, Marked Price of the article is Rs. 244.8
=> 175x=42840
=> x=42840/175=244.8