A shopkeeper allows a discount of $10 %$ on his goods. For cash payments, he further allows a discount of $20 %$ . Find a single discount equivalent of the above offer

25 %

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28 %

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32 %

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35 %

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Solution

The correct option is B $28 %$
Let the M.P. $=$ Rs. $100$ ,
$∴$ S.P. $= 80 %$ of $90 %$ of Rs. $100 =$ Rs. $(\frac{80}{100} \times \frac{90}{100} \times 100) =$ Rs. $72$
$∴$ Single discount $=$ Rs. $100 -$ Rs. $72 =$ Rs. $28$
Single discount rate $= \frac{28}{100} \times 100 = 28 %$ .

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A shopkeeper allows a discount of 10% on his goods. For cash payments, he further allows a discount of 20%. Find a single discount equivalent of the above offer

The correct option is B 28%Let the M.P. = Rs. 100, ∴ S.P. =80% of 90% of Rs. 100= Rs. (80100×90100×100)= Rs. 72 ∴ Single discount = Rs. 100− Rs. 72= Rs. 28 Single discount rate =28100×100=28%.

A shopkeeper allows a discount of $10 %$ on his goods. For cash payments, he further allows a discount of $20 %$ . Find a single discount equivalent of the above offer

The correct option is B $28 %$
Let the M.P. $=$ Rs. $100$ ,
$∴$ S.P. $= 80 %$ of $90 %$ of Rs. $100 =$ Rs. $(\frac{80}{100} \times \frac{90}{100} \times 100) =$ Rs. $72$
$∴$ Single discount $=$ Rs. $100 -$ Rs. $72 =$ Rs. $28$
Single discount rate $= \frac{28}{100} \times 100 = 28 %$ .