**Advertisements**1. Two successive discounts of 20% and 20% are equivalent to a single discount of

1) 42% 2) 40% 3) 36% 4) 34% 5) None of these

Solution: (3).

Given, r1 = 20% and r2 = 20%

Therefore single discount equal to r1 and r2

= ( r1 +r2 – [(r1 x r2) / 100 ] )%

= (20 + 20 – [(20 x 20) /100] )

= 40 – 4 = 36%

2. A shopkeeper earns a profit of 12% on selling a book at 10% discount on the printed price. The ratio

of the cost price and the printed price of the book is

1) 45:56 2) 8:11 3) 47:56 4) 3:4 5)None of these

Solution: (1)

Let the CP of book = Rs.x

Then, SP of book = ( 100 +12) * x / 100

= 112x /100

Now, the printed price = Rs.y

Then, after discount, the SP

= (100 - 10) * y / 100

= 90y/100

Since, both SP are same

Then, 112x/100

=90y/100

= x/y = 45/56 = 45:56

3. A manufacturer marked an article at Rs.50 and sold it allowing 20% discount . If his profit was 25% ,

then the cost price of the article was

1) Rs.40 2) Rs.35 3) Rs.32 4) Rs.30 5) None of these

Solution: (3).

Since marked price of an article = Rs.50

Therefore SP of an article = (50 x (100 – 20)) / 100

= 50 *80 / 100 = Rs.40

Hence, cost price of an article = (40 x 100) / (100 + 25)

= (40 x100) / 125 = Rs.32

4. By selling an article at 3/4th of the marked price, there is a gain of 25% . The ratio of the marked

price and the cost price is

1) 5:3 2) 3:5 3) 3:4 4) 4:3 5) None of these

Solution: (1).

Let MP of an article = Rs.x

Therefore SP of an article = Rs. ¾ x

and CP of an article = (3x/4) * (100 / 100+25)

= 3x/4 * 100/125 = Rs.3x/5

Required ratio = x: 3x/5 = 5:3

5. A retailer offers the following discount schemes for buyers on an article .

I. Two successive discounts of 10%.

II. A discount of 12% followed by a discount of 8%.

III. Successive discounts of 15% and 5%.

IV. A discount of 20%.

The selling price will be minimum under the scheme

1) I 2) II 3) III 4) IV 5) None of these

Solution: (4).

I. Equivalent single discount to 10% and 10%

= ( 10 + 10 – ( 10 x 10)/100 )% = 19%

II. Equivalent single discount to 12% and 8%

= 12+8 – (12*8)/100

= 20 - 0.96 = 19.04%

III. Equivalent single discount to 15% and 5%

= 15 + 5 – ( 15 x 5)/100

= 20 – 0.75 = 19.25%

IV. Equivalent single discount to 20% = 20%

So, the selling price will be minimum under the scheme IV as in this scheme, the discount is maximum.

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