Question : A man bought 500 metres of electronic wire at 50 paise per metre. He sold 50% of it at a profit of 5%. At what percentage should he sell the remainder so as to gain 10% on the whole transaction?
Option 1: 13%
Option 2:
12.5%
Option 3:
15%
Option 4:
20%
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Correct Answer:
Solution : The cost price of the electronic wire = Rs. 0.50 per metre. The man bought 500 metres, so the total cost price = Rs. 0.50 × 500 = Rs. 250 He sold 50% of it at a profit of 5%. The selling price of these 250 metres = Rs. 0.50 × 250 × 1.05 = Rs. 131.25 The man wants to gain 10% on the whole transaction. The total selling price for all 500 metres = Rs. 250 × 1.10 = Rs. 275 The selling price of the remaining 250 metres = Rs. 275 – Rs. 131.25 = Rs. 143.75 The selling price of each of the remaining metres = $\frac{143.75}{ 250}$ = Rs. 0.575 Percentage gain = $\frac{\text{Selling price – Cost price}}{\text{Cost price}}$ × 100% The percentage gain on each of these metres = $\frac{0.575 - 0.50}{ 0.50}$ × 100 = 15% Hence, the correct answer is 15%.
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Question : A man purchased 150 pens at the rate of Rs. 12 per pen. He sold 50 pens at a gain of 10%. The percentage gains at which he must sell the remaining pens so as to gain 15% on the whole outlay is:
Option 1: $21\frac{1}{2}\%$
$20\%$
$17\%$
Option 4: $17\frac{1}{2}\%$
Question : Mr. Kapur purchased two toy cycles for Rs. 750 each. He sold these cycles gaining 6% on one and losing 4% on the other. The gain or loss per cent in the whole transaction is:
Option 1: 1% loss
1% gain
1.5% loss
1.5% gain
Question : A person having bought goods for Rs. 400 sells half of it at a gain of 5%. At what gain percentage must he sell the remainder, so as to gain 25% on the whole?
Option 1: 30%
Option 2: 25%
Option 3: 20%
Option 4: 45%
Question : Match the following and select the correct answer from the codes given below:
Crops Producing state
(a)Tea (1) Himachal Pradesh
(b) Sugarcane (2) Assam
(c) Groundnut (3) Uttar Pradesh
(d)Apple (4) Gujarat
Option 1: a-2,b-4,c-1,d-3
a-2,b-3,c-4,d-1
a-3,b-2,c-1,d-4
a-4,b-3,c-1,d-2
Question : A shopkeeper bought 20 kg of rice at Rs. 55 per kg, 25 kg at Rs. 50 per kg and 35 kg of rice at Rs. 60 per kg. He spent a sum of Rs. 150 on transportation. He mixed all three types of rice and sold all the stock at Rs. 62.56 kg. His profit percent in the entire transaction is:
Option 1: 8.8
Option 2: 12.5
Option 3: 10.5
Option 4: 9.2
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