A trader marks his goods such that after allowing a 16.66% discount, he earns a profit of 25%. What is the ratio of Cost Price to Marked Price? MCQ with Answer and Explanation

A trader marks his goods such that after allowing a 16.66% discount, he earns a profit of 25%. What is the ratio of Cost Price to Marked Price?
A. 4:5
B. 3:4
C. 5:6
D. 2:3
Answer: Option D
Solution (By JKSSB Mock Tests)
Discount = 1/6 of MP. Selling Price = (5/6) * MP. Profit = 25% = 1/4 of CP. Selling Price = (5/4) * CP. (5/6) * MP = (5/4) * CP. CP / MP = (5/6) / (5/4) = 4/6 = 2/3.

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Practice More Profit And Loss Questions

Question #1
A vendor bought toffees at 6 for a rupee. How many for a rupee must he sell to gain 20%?
A. 5
B. 4
C. 3
D. 6

Correct Answer: Option A


Explanation:
Cost Price of 6 toffees = 1. Cost Price of 1 toffee = 1 / 6. Selling Price of 1 toffee to gain 20% = (1 / 6) * 1.20 = 1 / 5. He must sell 5 toffees for a rupee.

This question belongs to: Maths Profit And Loss
Question #2
The marked price of an article is Rs. 1200. If the discount given is 15%, what is the selling price?
A. Rs. 1050
B. Rs. 1020
C. Rs. 1000
D. Rs. 1080

Correct Answer: Option B


Explanation:
SP = 1200*0.85 = 1020.

This question belongs to: Maths Profit And Loss
Question #3
If the cost price of an article is Rs. 420 and the selling price is Rs. 504, what is the profit percentage?
A. 25%
B. 18%
C. 15%
D. 20%

Correct Answer: Option D


Explanation:
Profit = 84, profit% = 84/420*100 = 20%.

This question belongs to: Maths Profit And Loss