Word Problem 17

Problem 17: A watch was sold at a loss of 10%. If it were sold for Rs 10 more, there would have been a gain of 10%. Find for how much the watch was sold.

a. Rs 45             b. Rs 40                      c. Rs 30                        d. Rs 60

GRE arithmetic questions and answers


Let Cost price of the watch is ‘y’ i-e


Given it was sold at 10% loss of CP


we know formula for loss;


\Rightarrow SP=CP-L

\Rightarrow SP=y-\frac{10y}{100}

\Rightarrow SP=\frac{90y}{100}

So this is the sale price for given information !

if the watch was sold for Rs 10 more, then sale price would have been


And it is said that there would have been a profit of 10% of CP i-e


Now use formula for profit


put values


 \Rightarrow y+\frac{10y}{100}=\frac{90y}{100}+10

 \Rightarrow \frac{110y}{100}=\frac{90y}{100}+10

 \Rightarrow \frac{20y}{100}=10

 \Rightarrow y=50

So cost price of the watch  CP was Rs 50

put this value of y in ;

\Rightarrow SP=\frac{90y}{100}

 \Rightarrow SP=\frac{90\times 50}{100}=45

So, the watch was sold for Rs 45

(general math for jobs)

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