1.The marked price of a watch is Rs. 1000. A retailer buys it at Rs. 810 after getting two successive discounts of 10% and another rate which is illegible. What is the second discount rate?
(a) 15%
(b) 10%
(c) 8%
(d) 6.5%
2.A fan is listed at Rs. 1500 and a discount of 20% is offered on the list price. What additional discount must be offered to the customer to bring the net price to Rs. 1104?
(a) 8%
(b) 10%
(c) 12%
(d) 15%
3.The marked price of watch was Rs. 820. A man bought the watch for Rs. 570. 72 after getting two successive discounts, of which the first was 20%. The second discount was
(a) 18%
(b) 15%
(c) 13%
(d) 11%
4.A purchased a dining table, marked at Rs. 3,000 at a successive discounts of 10% and 15% respectively. He gave Rs. 105 as transportation charge and sold it at Rs. 3,200. What is his gain percentage?
(a) 22 1/3%
(b) 25%
(c) 33 1/3%
(d) 37 17/24%
5.If a dining table with marked price Rs. 6,000 was sold to a customer for Rs. 5, 500, then the rate of discount allowed on the table is
(a) 10%
(b) 8%
(c) 8 1/3%
(d) 9%
6.A discount of 15% on the article is the same as discount of 20% on a second article. The costs of the two articles can be:
(a) Rs. 85, Rs. 60
(a) Rs. 60, Rs. 40
(a) Rs. 40, Rs. 20
(a) Rs. 80, Rs. 60
7.A shopkeeper gives 12 percent additional discount after giving an initial discount of 20 percent on the marked price of a radio. If the sale price of the radio is Rs. 704, the marked price is
(a) Rs. 844.80
(b) Rs. 929.28
(c) Rs. 1,044.80
(d) Rs. 1,000
8.If an electricity bill is paid before due date, one gets a reduction of 4% on the amount of the bill. By paying the bill before due date a person got a reduction of Rs. 13. The amount of his electricity bill was
(a) Rs. 125
(b) Rs. 225
(c) Rs. 325
(d) Rs. 425
9.During a month- long annual sale, a shopkeeper sells his goods at a discount of 50%. But in the last week, he offers an additional discount of 40%. If the original price of a shirt is Rs.x then the price, in rupees, during the last week of the sale will be
(a) 90% of x
(b) 70% of x
(c) 30 % of x
(d) 10% of x
10.The cost of manufacture of a tape recorder is Rs. 1,500. The manufacturer fixes the marked price 20% above the cost of manufacture and allows a discount in such a way as to get a profit of 8%. The rate of discount is
(a) 12%
(b) 8%
(c) 20%
(d) 10%
ANSWERS AND SOLUTION
1.(b) Price after 10% first discount
= 1000 * (100-10)/100
= 1000 * 90/100 = Rs. 900
Given :
Price after second discount
= Rs. 810
so Second discount
= 900 – 810 = Rs. 90
so Percentage second discount
= 90 * 100/900 = 10%
2.(a) After a discount of 20%
Listed price = 80% of Rs. 1500
= Rs. (1500 * 80/100)= 1200
Difference
= Rs. (1200 – 1104) = Rs. 96
Let x% of 1200 = 96
x = 96 * 100/1200 = 8
so Second discount = 8%
3.(c) Total discount
= Rs. (820 – 570.72)
= Rs. 249.28
First discount = 820 * 20/100
= Rs. 164
so Second discount
Rs. (249.28 – 164)
= Rs. 85.28
Price of the article after first discount
= Rs. (820 – 164) = Rs. 656
If the second discount be x% then
x% of 656 = 85.28
=> x = 85.28 * 100 /656 = 13%
4.(c)C.P. for A
= 3000 * 90/100 * 85/100
= Rs. 2295
Actual C.P. = 2295 + 105
= Rs. 2400
so Gain percent = 800/2400 * 100
= 100/3 = 33 1/3%
5.(c)Discount = 6000 = 5500
= Rs. 500
If discount = x%, then
6000 * x /100 = 500
=> x = 500/60 = 25/3 = 8 1/3 %
6.(d) 15% of Rs. 80 = 80 * 15/ 100
= Rs. 12
and 20% of 60 = (60 ×20)/100
= Rs. 12
Therefore, 15% of 80 and 20% of 60 are same.
Hence the cost prices should be Rs. 80 and Rs. 60.
7.(d) Let the marked price of the radio be Rs. x.
According to the question.
x* 80/100 * 88/100 = 704
so x = (704 ×100 ×100)/(80 ×88)
= Rs. 1000
8.(c) Let the amount of the bill be Rs. x.
4x/100 = 13
x = 1300/4 = Rs. 325
9.(c)Single equivalent discount
= (50+40-(50 ×40)/100)%
= 70%
so Required price of shirt
= 30% of x
10.(4) Marked price of tape recorder
= 1500 * 120/100 = Rs. 1800
Gain = 1500 * 8/100 = Rs. 120
Discount = 1800 - (1500 + 120)
= Rs. 180
so Discount per cent = x%, then (1800 × x)/100 = 180.
x = 10%
1.(b) Price after 10% first discount
= 1000 * (100-10)/100
= 1000 * 90/100 = Rs. 900
Given :
Price after second discount
= Rs. 810
so Second discount
= 900 – 810 = Rs. 90
so Percentage second discount
= 90 * 100/900 = 10%
2.(a) After a discount of 20%
Listed price = 80% of Rs. 1500
= Rs. (1500 * 80/100)= 1200
Difference
= Rs. (1200 – 1104) = Rs. 96
Let x% of 1200 = 96
x = 96 * 100/1200 = 8
so Second discount = 8%
3.(c) Total discount
= Rs. (820 – 570.72)
= Rs. 249.28
First discount = 820 * 20/100
= Rs. 164
so Second discount
Rs. (249.28 – 164)
= Rs. 85.28
Price of the article after first discount
= Rs. (820 – 164) = Rs. 656
If the second discount be x% then
x% of 656 = 85.28
=> x = 85.28 * 100 /656 = 13%
4.(c)C.P. for A
= 3000 * 90/100 * 85/100
= Rs. 2295
Actual C.P. = 2295 + 105
= Rs. 2400
so Gain percent = 800/2400 * 100
= 100/3 = 33 1/3%
5.(c)Discount = 6000 = 5500
= Rs. 500
If discount = x%, then
6000 * x /100 = 500
=> x = 500/60 = 25/3 = 8 1/3 %
6.(d) 15% of Rs. 80 = 80 * 15/ 100
= Rs. 12
and 20% of 60 = (60 ×20)/100
= Rs. 12
Therefore, 15% of 80 and 20% of 60 are same.
Hence the cost prices should be Rs. 80 and Rs. 60.
7.(d) Let the marked price of the radio be Rs. x.
According to the question.
x* 80/100 * 88/100 = 704
so x = (704 ×100 ×100)/(80 ×88)
= Rs. 1000
8.(c) Let the amount of the bill be Rs. x.
4x/100 = 13
x = 1300/4 = Rs. 325
9.(c)Single equivalent discount
= (50+40-(50 ×40)/100)%
= 70%
so Required price of shirt
= 30% of x
10.(4) Marked price of tape recorder
= 1500 * 120/100 = Rs. 1800
Gain = 1500 * 8/100 = Rs. 120
Discount = 1800 - (1500 + 120)
= Rs. 180
so Discount per cent = x%, then (1800 × x)/100 = 180.
x = 10%
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