Question 13

The marked price of a pen is Rs 3000. The shopkeeper gives two successive discounts of 15% and a% to the customer. If the customer pays Rs 2142 for the pen, then what is the value (in percentage) of a?

Solution

Marked price = Rs. 3000

After first discount of 15%, price of pen = $$3000-(\frac{15}{100}\times3000)$$

= $$3000-450=Rs.$$ $$2550$$

After 2nd discount of $$a\%$$, price = $$2550-(\frac{a}{100}\times2550)=2142$$

=> $$25.5a=2550-2142$$

=> $$25.5a=408$$

=> $$a=\frac{408}{25.5}=16\%$$

=> Ans - (A)

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