**Find solutions for all the questions at the end of each set:**

### Set A

1. A dealer marks his goods at 40% above the cost price and allows a discount of 20% on the marked price. The dealer has a

(a) loss of 20%

(b) gain of 25%

(c) loss of 20%

(d) gain of 12%

2. The marked price of an article is 20% more than its cost price. A discount of 20% is given on the marked price. In this kind of sale, the seller bears

(a) no gain, no loss

(b) a loss of 4%

(c) a gain of 4%

(d) a gain of 8%

3. A shopkeeper fixed a price of an article 25% more of its cost price and then allowed 10% discount. The actual profit percent is

(a) 15%

(b) 13%

(c) 12.5%

(d) 12%

4. After allowing a discount of 16%, there was still a gain of 5%. Then the percentage of marked price over the cost price is

(a) 15%

(b) 18%

(c) 21%

(d) 25%

5. To gain 8% after allowing a discount of 10% by what percent cost price should be hiked in the list price?

(a) 9%

(b) 11%

(c) 18%

(d) 20%

6. A discount of 20% on one article is the same as a discount of 25% on another article the cost prices of two articles respectively can be (in Rs.) :

(a) 1000, 800

(b) 600, 800

(c) 500, 700

(d) 900, 1000

7. A bookseller makes 8 % profit after selling the book at 10% discount. The ratio of the cost price to the marked price is

(a) 5 : 6

(b) 6 : 5

(c) 4 : 5

(d) 5 : 4

8. A shopkeeper marks an article at Rs.60 and sells it at a discount of 15%. He also gives a gifts worth Rs. 3. If he still makes 20% profit, the cost price, in rupees, is

(a) 22

(b) 32

(c) 40

(d) 42

9. A shopkeeper lists the price of an article as Rs.500. But he gives a certain discount which allows the buyer to pay Rs. 500 for the article including 10% sales tax. The rate of discount is

(a) 10%

(b) 10 (1/11)%

(c) 9 (1/11)%

(d) 11%

10. A retailer buys 40 pens at the marked price of 36 pens from a wholesaler. If he sells these pens giving a discount of 1%, his percentage of profit is

(a) 10%

(b) 11%

(c) 11 (1/9)%

(d) 12%

Answers and Solutions:

1. (d)

% gain or loss = 40-20+(40*-20)/100 = 12% gain

2. (b)

% gain or loss = 20-20+(20*-20)/100 = -4% loss

3. (c)

Profit percent = 25-10+(25*-10)/100 = 12.5%

4. (d)

If C.P. is Rs. 100 then S.P. = Rs.105

so marked price*84/100 = 105

so marked price = (105*100)/84 125

so marked price is 25% over the cost price

5. (d)

6. (a)

7. (a)

8. (c)

9. (c)

10. (a)

let the marked price of 36 pens is = 36

so cp of 40 pens = 36

and marked price of 40 pens = 40

s.p. of 40 pens on a discount of 1% = (40*99)/100 = 39.6

total profit = 39.6 -36 = 3.6

so % profit = (3.6 *100)/36 = 10%

**Find solutions for all the questions at the end of each set:**

### Set B

1. A person bought a horse and a carriage for Rs. 20,000. Later, he sold the horse at 20% profit and the carriage at 10% loss. Thus, he gained 2% in the whole transaction. The cost price of the horse was

(A) Rs. 7200

(B) Rs. 7500

(C) Rs. 8000

(D) Rs. 9000

2. A sells an article to B at 15% profit. B sells it to C at 10% loss. If C pays Rs. 517.50 for it then A purchased it at

(A) Rs. 500

(B) Rs. 750

(C) Rs. 1000

(D) Rs. 1250

3. The cost price of an article is 80% of its marked price for sale. How much per cent does the tradesman gain after allowing a discount of 12%?

(A) 20

(B) 12

(C) 10

(D) 8

4. A merchant has announced 25% rebate on prices of readymade garments at the time of sale. If a purchaser needs to have a rebate of Rs. 400, then how many shirts, each costing Rs. 320, should he purchase?

(A) 10

(B) 7

(C) 6

(D) 5

5. A sum of money, deposited at some rate per cent per annum of compound interest, doubles itself in 4 years. In how many years will it become 16 times of itself at the same rate?

(A) 16

(B) 12

(C) 10

(D) 8

6. The simple and compound interests on a sum of money for 2 year are Rs. 8400 and Rs. 8652 respectively. The rate of interest per annum is

(A) 6%

(B) 7.5%

(C) 9%

(D) 4.5%

7. A man can row against the current three-fourth of a kilometre in 15 minutes and returns the same distance in 10 minutes. The ratio of his speed to that of the current is

(A) 3 : 5

(B) 5 : 3

(C) 1 : 5

(D) 5 : 1

8. When the price of a toy was increased by 20%, the number of toys sold was decreased by 15%. What was its effect on the total sales of the shop?

(A) 2% increase

(B) 2 % decrease

(C) 4% increase

(D) 4% decrease

9. A person sold a horse at a gain of 15%. Had he bought it for 25% less and sold it for Rs. 60 less, he would have made a profit of 32%. The cost price of the horse was

(A) Rs. 370

(B) Rs. 372

(C) Rs. 375

(D) Rs. 378

10. A sells an article to B at a gain of 25% B sell it to C at a gain of 20% and C sells it to D at a gain of 10%. If D pays Rs. 330 for it, how much did it cost to A?

(A) Rs. 200

(B) Rs. 250

(C) Rs. 275

(D) Rs. 290

Answers and Solution:

1 (C)

If the cp of horse be Rs. x

then,

Cp of carriage = Rs. (20000-x)

so x*120/100 + (20000-x)*90/100

= 20000*102/100

=> 120x+1800000-90X

so x = Rs.8000

2 (A)

If an article is old to B at x% profit/loss and B sells the same to C at y% profit/loss,

then C's C.P.

=A's C.P (100±x)/100*(100±y)/100

so A's C.P = C's CP

(100/100+15)(100/100-10)

= 517.50*100/115*100/90 = Rs.500

3 (C)

4 (D)

Discount at the shirt costing Rs.320

= (320*25)/100 = Rs. 80

So Number of shirts for a rebate of Rs.400= 400/80 =5

5 (A)

2 = 1(1+R/100)^4

=> 2^4 = 1(1+R/100)^16

so T = 16 years

6 (A)

Difference = Rs.(8652-8400) = Rs. 252

so Rate = (2*difference)/S.I*100

= 2*252/8400*100 = 6%

7 (D)

8 (A)

9 (C)

10 (A)

A' CP = 330*110/125*100/120*100/110 = Rs.200

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