Q. A man sells a bicycle at a marked price which is 20% higher than the cost price. If he gives some discount and sells at Rs. 120 less than the marked price, he would still gain 10%. What is the percentage of discount offered?

8.3%

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9.5%

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10.25%

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6.5%

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Solution

The correct option is A 8.3%
Explanation:

Marked price is 20% higher than CP,
$20 % = \frac{1}{5}$
$C P = 5$
$M P = 6$
$P r o f i t % = 10 % = \frac{1}{10}$
$C P = 10$
$S P = 11$
Ratio of $C P : S P : M P = 10 : 11 : 12$
Difference between $M P$ and $S P = 12 - 11 = 1$
Discount percentage $= \frac{1}{12} \times 100 = 8.3 %$

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Q. A man sells a bicycle at a marked price which is 20% higher than the cost price. If he gives some discount and sells at Rs. 120 less than the marked price, he would still gain 10%. What is the percentage of discount offered?

The correct option is A 8.3%Explanation: Marked price is 20% higher than CP, 20%=15 CP=5 MP=6 Profit%=10%=110 CP=10 SP=11 Ratio of CP:SP:MP=10:11:12 Difference between MP and SP=12−11=1 Discount percentage =112×100=8.3%