A shopkeeper marked his article 60% above the cost price and ratio of discount allowed to profit earned is 4 : 1. If profit earned is Rs.180 less than discount allowed, then find ratio of selling price to marked price of the article?

Correct option is D

Let cost price of the article be Rs. 100x
So, marked price of the article =160% of 100x = Rs. 160x
Let discount allowed on article & profit earned on article be ‘Rs. 4y’ & ‘Rs. y’ respectively.
ATQ,
4y – y = 180
y = 60
Hence, discount allowed on article = 4y = Rs. 240
And profit earned on article = y = Rs. 60
Now,
160x – 240 = 100x + 60
60x = 300
x = 5
Hence, marked price of the article = Rs. 160x = Rs. 800
And selling price of the article = 800 – 240 = 560
So, Required ratio = 560:800 = 7:10