1. A tradesman marks his goods 30% above cost price. If he allows discount of 6(1/4)%, then his gain per cent is:
(a) 22%
(b) 21(7/8)%
(c) 23(3/4)%
(d) 36(1/4)%
(e) None of these 

2. A fan is listed at Rs. 750 with a discount of 20%. What additional discount must be offered to the customer to bring the net price Rs. 540?
(a) 11(1/9)%
(b) 10%
(c) 11%
(d) 8%
(e) None of these 

3. The marked price of an article is 10% higher than the cost price. A discount of 10% is given on the marked price. In this kind of sale, the seller:
(a) bears no loss, no gain
(b) gains 1%
(c) loses 1%
(d) None of these
(e) can't be determine 

4. If a commission of 10% is given on the marked price of a book, the publisher gains 20%. If the commission is increased to 15%, the gain is:
(a) 16(2/3)%
(b) 13(1/3)%
(c) 15 (1/6)%
(d) 15%
(e) None of these 

5. Tarun bought a T.V. with 20% discount on the labelled price. Had he bought it with 25% discount, he would have saved Rs. 500. At what price did he buy the T.V.?
(a) Rs. 5000
(b) Rs. 10000
(c) Rs. 12000
(d) Rs. 16000
(e) None of these 

6. A discount series of 10%, 20% and 40% is equivalent to a single discount of:
(a) 50%
(b) 56.8%
(c) 60%
(d) 70.28%
(e) None of these 

7. The difference between a discount of 40% on Rs. 500 and two successive discounts of 36% and 4% on the same amount is:
(a) 0
(b) Rs. 2
(c) Rs. 1.93
(d) Rs. 7.20
(e) None of these 

8. On an article with marked price Rs. 20000, a customer has a choice between three successive discounts of 20%, 20% and 10% and three successive discounts of 40%, 5% and 5%. By choosing the better offer, he can save:
(a) nothing 
(b) Rs. 690
(c) Rs. 715
(d) Rs. 785
(e) None of these 

9. An agent buys a T.V. set listed at Rs. 10000 and gets 10% and 20% successive discounts. He spends 10% of his C.P. on transport. At what price (in rupees) should he sell the T.V. set to earn a profit of 10%?
(a) 8692
(b) 8702
(c) 8712
(d) 8722
(e) None of these 

10. While selling a watch, a shopkeeper gives a discount of 5%. If he gives a discount of 7%, he earns Rs. 15 less as profit. The marked price of the watch is:
(a) Rs. 697.50
(b) Rs. 712.50
(c) Rs. 787.50
(d) Rs. 750
(e) None of these 

Answers with explanation 

1. (b): C.P.=Rs. 100. Then, marked price=Rs. 130.
Therefore, S.P.=93(3/4)% of Rs. 130=(375/400)X130=121(7/8).
Hence, gain=21(7/8)%.

2. (b); S.P. after 20% discount=80% of Rs. 750=Rs.600
Net S.P. desired=Rs. 540.
Additional discount=[(60/600)X100]%=10%

3. (c): Let C.P.=Rs. 100. Then, marked price=Rs. 110. 
S.P=90% of Rs. 110=Rs. 99. So, loss=1%

4. (b); Let C.P.=Rs. 100. First S.P.=Rs. 120
Now, S.P. =Rs. 120, commission=10%
Therefore, Marked Price=[(100/90)X120]=Rs. 400/3.
No, marked price=400/3, commission=15%
Therefore, S.P.=85% of 400/3=[(85/100)X(400/3)]=340/3.
Therefore, Gain%=[(340/3)-100]=40/3=13(1/3)%.

5. (b); Let the labeled price be Rs. 100.
S.P. in 1st case=Rs. 80, S.P. in 2nd case=Rs. 75.
5 : 100 : : 500 : x. 
So, x=[(100X500)/5]=10000.

6. (b); Let original price=Rs. 100.
Final price=90% of (80% of 60% of 100)
=[(90/100)X(80/100)X(60/100)X100]=43.20.
Therefore, Single discount=(100-43.20)%=56.8%

7. (d); S.P. of 40% discount=60% of Rs. 500=Rs. 300
S.P. after two successive discounts of 36% and 4%
=96% of (64% of 500)=[(96/100)X(64/100)X500]=Rs. 307.20.
Therefore, Required difference=Rs. 7.20.

8. (b);(90% of 80% of 80% of Rs. 20000)=Rs. 11520.
(95% of 95% of 60% of Rs. 20000)=Rs. 10830.
Therefore, Saving=Rs. (11520-10830)=Rs. 690.

9. (c); Net price after two discounts=80% of 90% of Rs. 10000=Rs. 7200.
Net C.P.=(7200+10% of Rs. 7200)=7920.
Therefore, S.P. =110% of Rs. 7920=Rs. 8712.

10. (d);  Let the marked price be Rs. x.
95% of x-93% of x=15
2% of x=15
x=(15X100)/2=750







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