# Quantitative Aptitude – Arithmetic – Profit and Loss – If a seller gives a discount of 15%

## Question

If a seller gives a discount of 15% on retail price, she still makes a profit of 2%. Which of the following ensures that she makes a profit of 20%?

A) Give a discount of 5% on retail price
B) Give a discount of 2% on retail price
C) Increase the retail price by 2%
D) Sell at retail price

Option (D)

## Solution

CAT 2017 – Quantitative Aptitude – Arithmetic – Profit and Loss
Let Retail Price = MP
Cost Price = CP
When a discount of 15% is given,
[(0.85CP – CP)/CP] *100 = 2
So, 85 * MP = 102 * CP
Let us take SP = xMP
So, [(xMP-CP)/CP] * 100 = 20.
On calculating, we get x = 100
So, we should sell at Retail Price to get a profit of 20%.

## CAT 2017 Questions from Quantitative Aptitude – Arithmetic

Quantitative Aptitude – Arithmetic – Profit and Loss – Q1: Mayank buys some candies for Rs 15 a dozen and an equal number of different candies for Rs 12 a dozen.
Quantitative Aptitude – Arithmetic – Profit and Loss – Q2: The manufacturer of a table sells it to a wholesale dealer at a profit of 10%. The wholesale dealer sells the table to a retailer at a profit of 30%.
Quantitative Aptitude – Arithmetic – Profit and Loss – Q3: If Fatima sells 60 identical toys at a 40% discount on the printed price, then she makes 20% profit.
Quantitative Aptitude – Arithmetic – Profit and Loss – Q4: In a market, the price of medium quality mangoes is half that of good mangoes.
Quantitative Aptitude – Arithmetic – Mixtures – Q1 : Consider three mixtures – the first having water and liquid A in the ratio 1 : 2, the second having water and liquid B in the ratio 1 : 3, and the third having water and liquid C in the ratio 1 : 4.
Quantitative Aptitude – Arithmetic – Mixtures – Q2: Bottle 1 contains a mixture of milk and water in 7 : 2 ratio and Bottle 2 contains a mixture of milk and water in 9 : 4 ratio.
Quantitative Aptitude – Arithmetic – Time and Work – Q1: Amal can complete a job in 10 days and Bimal can complete it in 8 days. Amal, Bimal and Kamal together complete the job in 4 days and are paid a total amount of Rs 1000 as remuneration.
Quantitative Aptitude – Arithmetic – Time and Work – Q2: A person can complete a job in 120 days. He works alone on Day 1. On Day 2, he is joined by another person who also can complete the job in exactly 120 days.
Quantitative Aptitude – Arithmetic – Time, Speed and Distance
Quantitative Aptitude – Arithmetic – Percentages
Quantitative Aptitude – Arithmetic – Pipes and Cisterns – Ques: A tank has an inlet pipe and an outlet pipe. If the outlet pipe is closed then the inlet pipe fills the empty tank in 8 hours.
Quantitative Aptitude – Arithmetic – Averages
Quantitative Aptitude – Arithmetic – Ratios

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