# Practice Questions on PercentagesAptitude Questions and Answers

Common Information

KK, an aspiring entrepreneur wanted to set up a pen drive manufacturing unit. Since the technology was changing very fast, he wanted to carefully the demand and the likely profits before investing.

The market survey indicated that he would be able to sell 1 lac units before customers shifted to different gadgets. KK realized that he had to incur two kinds of costs – fixed costs (the costs which do not change, irrespective of the number of units of pen drives produced) and variable costs (= variable cost per unit multiplied by the number of units).

KK expected fixed cost to be Rs. 40 lac and variable cost to be Rs. 100 per unit. He expected each pen drive to be sold at Rs. 200

## Difficult Percentages Question - 6

 Q6. Common Information Question: 1/2 What would be the break-even point (defined as no profit, no loss situation) for KK’s factory in term of sales?
 A. Rs 80 lac B. Rs 100 lac C. Rs 120 lac D. Rs 140 lac

## Difficult Percentages Question - 7

 Q7. Common Information Question: 2/2 KK was skeptical that per unit variable cost might increase by $10%$ though the demand might remain same. What will be the expected changes in profit in such a case?
 A. Profit will increase by $16.67\%$ B. Profit will increase will by $15.75\%$ C. Profit would decrease by $15.75\%$ D. Profit will decrease by $16.67\%$

## Difficult Percentages Question - 8

 Q8. A shopkeeper gives a discount of $12%$, whereas a customer makes cash payment. Let '$p$' denotes the percentage, above the cost price, that the shopkeeper must mark up the price of the articles ['$p$' is an integer] in order to make a profit of $x% (x < 100)$. Which of the following is the possible value(s) of $x$?
 A. 54 B. 76 C. 96 D. 32

## Difficult Percentages Question - 9

 Q9. Two persons Raj and Ramu started working for a company in similar jobs on January 1, 1991. Raj's initial monthly salary was Rs 400, which increases by Rs 40 after every year. Ramu's initial monthly salary was Rs 500 which increases by Rs 20 after every six months. If these arrangements continue till December 31, 200. Find the total salary they received during that period.
 A. Rs 1,08,000 B. Rs 1,44,000 C. Rs 1,32,000 D. Rs 1,52,400

## Difficult Percentages Question - 10

 Q10. The volume of the sphere $Q$ is (dfrac{37}{64}%)less than the volume of sphere $P$ and the volume of sphere $R$ is (dfrac{19}{27}%) less than that of sphere $Q$. By what $%$ is the surface area of sphere $R$ less than the surface area of sphere $P$?
 A. $77.77 \%$ B. $87.5 \%$ C. $75\%$ D. $67.5\%$
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