51. An article was bought for ₹ 5600. Its price was marked up by 12%. Thereafter it was sold at a discount of 5% on the market price. What was the market price of the article?
52. An article was bought for ₹ 5600. Its price was marked up by 12%. Thereafter it was sold at a discount of 5% on the market price. What was the percent profit on the transaction?
53. An article was bought for ₹ 5600. Its price was marked up by 12%. Thereafter it was sold at a discount of 5% on the market price. What was the amount of discount given?
(a) ₹ 319.6
(b) ₹ 303.6
(c) ₹ 306.3
(d) ₹ 313.6
(e) ₹ 316.9
Solution: (d)
Price of article=\(\displaystyle 5600\times \frac{{12}}{{100}}+5600=672+5600=6272\)
Amount of discount = \(\displaystyle 6272\times \frac{5}{{100}}=313.6\)
54. The cost price of an article is ₹ 1700. If it was sold at a price of ₹ 2006, what was the percentage profit on the transaction?
55. Manish brought 25 kg of rice at ₹ 32 per kg and 15 kg of rice at ₹ 36 per kg. what profit did he get when he mixed the two varieties together and sold it at ₹ 40.20 per kg?
(a) 25%
(b) 40%
(c) 30%
(d) 20%
(e) None of these
Solution: (d)
C.P. of 40 kg of mixture
= ₹ \(\displaystyle \left[ {(25\times 32)+(15\times 36)} \right]\)
= ₹ \(\displaystyle (800+540)\)
= ₹ 1340
S.P.of 40 kg of mixture = ₹ \(\displaystyle (4\times 40.2)\)
Profit= ₹ \(\displaystyle (1608-1340)\)= ₹ 268
Profit % = \(\displaystyle \frac{{268}}{{1340}}\times 100=268\)
\(\displaystyle \frac{{268}}{{130}}\times 100=20\%\)
56. A grocer purchased 80 kg of sugar at ₹ 13.50 per kg and mixed it with 120 kg sugar at ₹16 per kg. At what rate should he sell the mixture to gain 16% ?
(a) ₹ 17 per kg
(b) ₹ 17.40 per kg
(c) ₹ 16.5 per kg
(d) ₹ 16 per kg
(e) None of these
Solution: (b)
C.P. of 200 kg of mixture = ₹ \(\displaystyle (80\times 13.50+120\times 16)\)= ₹3000.
S.P. = 116% of ₹ 3000 = \(\displaystyle \frac{{116}}{{100}}\times 3000=3480\)
\(\displaystyle \Rightarrow \)Rate of S.P. of the mixture = ₹ \(\displaystyle \frac{{3480}}{{200}}\)
= ₹ 17.40 per kg.
57. A shopkeeper purchased 200 bulbs for ₹ 10 each. However, 5 bulbs were fused and had to be thrown away. The remaining were sold at ₹ 12 each. What will be the percentage profit ?
(a) 25
(b) 15
(c) 13
(d) 17
(e) None of these
Solution: (d)
Total cost price = \(\displaystyle 200\times 10\) = ₹ 2000
Total selling price = \(\displaystyle 12\times 195\)= ₹ 2340
Therefore, Profit percent = \(\displaystyle \frac{{2340-2000}}{{2000}}\times 100=17\%\)
= ₹ 17.40 per kg.
58. 10% discount and then 20% discount in succession is equivalent to total discount of
(a) 15%
(b) 30%
(c) 24%
(d) 28%
(e) None of these
Solution: (d)
Successive discount can be given by = \(\displaystyle x+y+\frac{{xy}}{{100}}\)
= \(\displaystyle -10-20+\frac{{-10\times -20}}{{100}}=-30+2=28\%\)
Hence, the successive dicount in equal to 28%
Alternate method:
Let the MP was Rs 100
After first discount, price = 100 – 10 = Rs. 90
After second discount, price = 90 – (90 × 20)/100 = 90 – 18 = Rs. 72
Therefore, Total single discount = [(100 – 72)/100] × 100 = 28%
59. Allowing 20% and 15% successive discounts, the selling price of an article becomes ₹3,060; then the marked price will be
(a) ₹4,400
(b) ₹5,000
(c) ₹4,500
(d) ₹4,000
(e) None of these
Solution (c)
S.P. of an article = 20% and 15% successive discount \(\displaystyle \times \)marked price of an article
⇒ then MRP of 100 parts = 45 \(\displaystyle \times \) 100 = Rs. 4500
60. The average weight of 15 oarsmen in a boat is increased by 1.6 kg when one of the crew, who weighs 42 kg is replaced by a new man. Find the weight of the new man (in kg).
(a) 65
(b) 66
(c) 43
(d) 67
(e) None of these
Solution: (b)
Let the average weight of 15 Oarsmen at the start = x kg
Let the new man’s weight = y kg
According to question
15x – 42 = 15 (x + 1.6) – y
15x – 42 = 15x + 24 – y
y = 24 + 42 = 66 kg
