CAT · Quantitative Ability

Arithmetic and percents

15 practice questions, each with the answer and an explanation.

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Random questions from this topic, one at a time. You see the answer and the explanation straight after each one.

All 15 questions

A price rises by $20%$ and then falls by $10%$ . What is the net percent change from the original price?
A price rises by $10%$ and then falls by $10%$ . What is the net percent change from the original price?
A price rises by $10%$ and then falls by $40%$ . What is the net percent change from the original price?
A price rises by $20%$ and then falls by $20%$ . What is the net percent change from the original price?
A shopkeeper marks his goods $30%$ above cost price and then allows a discount of $10%$ on the marked price. He also uses a faulty weight of $800$ g in place of $1$ kg. What is his overall profit pe…
At a firm, Arun's salary is $25%$ more than Bala's. Arun then gets a $20%$ raise and Bala gets a $40%$ raise. By what percent is Arun's new salary more than Bala's new salary?
A loan of $₹ 21, 000$ at $10%$ per annum compound interest (compounded annually) is repaid in two equal annual installments, the first paid at the end of year $1$ and the second at the end o…
A price rises by $20%$ and then falls by $40%$ . What is the net percent change from the original price?
A price rises by $50%$ and then falls by $20%$ . What is the net percent change from the original price?
A price rises by $25%$ and then falls by $10%$ . What is the net percent change from the original price?
A price rises by $50%$ and then falls by $25%$ . What is the net percent change from the original price?
A price rises by $10%$ and then falls by $25%$ . What is the net percent change from the original price?
In an alloy of copper and zinc, the ratio of copper to zinc is 3:2. In another alloy, the ratio is 4:5. In what ratio should the two alloys be mixed to obtain a new alloy with equal parts of copper an…
A trader marks goods such that after giving a discount of 12.5%, he makes a profit of 20%. If the cost price is Rs. 1400, what is the marked price?
A tap fills an empty tank in 12 hours, but due to a leak at the bottom, it takes 15 hours. If the tank is full, how many hours will the leak alone take to completely empty it?

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