A publication company launched two special magazines M1 and M2 at the

Question

3 Must Learn Applications of Percentages - Exercise Question #2

2-  A publication company launched two special magazines M1 and M2 at the same retail price of $10. On M1, two successive discounts of 10% and 20% was given, whereas M2 was offered at a single discount of 30%. What is the difference between the final selling prices of M1 and M2?

Options

A)  0
 B)  20 cents
 C)  40 cents
 D)  60 cents
 E)  80 cents

To solve question 3:    Question 3

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EgmatQuantExpert · Answer

Solution

Given:  
 • A publication company launched two special magazines M1 and M2 at the same retail price of $10
• On M1, two successive discounts of 10% and 20% were given
• On M2, one single discount of 30% was given

To find:  
 • The difference between the final selling prices of M1 and M2

Approach and Working:  
The initial launch price of both M1 and M2 is $10

As there are two successive discounts of 10% and 20% were given in M1, 
 • The cumulative price change =  (-10) + (-20) + \frac{(-10)(-20)}{100} = -30 + 2 = -28%

The single discount on the price of M2 = 30%

As the initial launch prices of both M1 and M2 are same as $10,
 • The difference in price after the discount = (30% - 28%) of $10 = 2% of $10 = $0.2 = 20 cents

Hence, the correct answer is option B.

Answer: B

loneRanger1050 · Answer

Cost of M1 = 10$
Cost of M2 = 10$

M1 is given successive discounts of 10% and 20%
So final selling price of M1 = 10*(1-0.1)*(1-0.2) = 10*0.9*0.8 = 7.2$

M2 is given 30% discount.
Final selling price of M2 = 10*(1-0.3) = 10*0.7 = 7$

Difference = 7.2$ - 7$ = 0.2$ = 20cents

LevanKhukhunashvili · Answer

Don't sum the % made in different time period
10% discount +20% discount = 30% discount   is a mistake

M1 --> initial price $10
1st discount: $10*0.9=$9 
2nd discount $9*0.8=$7.2

M2 --> initial price $10
1st and only discount $10*0.7=$7

M1-M2=$7.2-$7=$0.2

In My opinion
Ans:  B

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A publication company launched two special magazines M1 and M2 at the

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