Profit and Loss
- A retailer purchased radio sets at the rate of $ 400 each from a wholesaler. He raised the price by 30% and then allowed a discount of 8% on each set. His profit will be
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Given that , cost price of a radio set = $ 400
Marked price of a radio set = 400 × 130 = $ 520 100 S.P. of a radio set = 520 × 92 = $ 478.4 100
Gain = 478.4 - 400 = $ 78.4
Correct Option: D
Given that , cost price of a radio set = $ 400
Marked price of a radio set = 400 × 130 = $ 520 100 S.P. of a radio set = 520 × 92 = $ 478.4 100
Gain = 478.4 - 400 = $ 78.4∴ Gain percent = 78.4 × 100 = 19.6% 400
- A man buys 3 cows and 8 goats in $ 47,200. Instead if he would have bought 8 cows and 3 goats, he had to pay $ 53,000 more. Cost of one cow is:
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Suppose the C.P. of a cow be p and that of a goat q.
According to question ,
3p + 8q = 47200 ....(i)
8p + 3q = 100200 ....(ii)
By equation (i) × 3 – (ii) × 8,
9p + 24q – 64p – 24q = 141600 – 801600
⇒ 55p = 660000Correct Option: B
Suppose the C.P. of a cow be p and that of a goat q.
According to question ,
3p + 8q = 47200 ....(i)
8p + 3q = 100200 ....(ii)
By equation (i) × 3 – (ii) × 8,
9p + 24q – 64p – 24q = 141600 – 801600
⇒ 55p = 660000⇒ p = 660000 = $ 12000 55
- Arun marks up the computer he is selling by 20% profit and sells them at a discount of 15%. Arun’s net gain percent is
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Given Here , a = 20% , b = 15%
Using the given formula ,Net gain percent = 
a - b - a × b 
% 100
Correct Option: B
Given Here , a = 20% , b = 15%
Using the given formula ,Net gain percent = a - b - a × b % 100 Net gain percent = 20 - 15 - 20 × 15 % 100
Net gain percent = (20 – 18)% = 2%
- A trader sells two bullocks for $ 8,400 each, neither losing nor gaining in total. If he sold one of the bullocks at a gain of 20%, the other is sold at a loss of
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Given in question , S.P. of each bullock = $ 8,400
C.P. of first bullock = 100 × 8400 = $ 7000 120
∴ Gain = $ 1400
∴ Loss = $ 1400
∴ C.P. of second bullock = 8400 + 1400 = 9800
If loss be y %, then∴ 9800 × y = 1400 100
Correct Option: C
Given in question , S.P. of each bullock = $ 8,400
C.P. of first bullock = 100 × 8400 = $ 7000 120
∴ Gain = $ 1400
∴ Loss = $ 1400
∴ C.P. of second bullock = 8400 + 1400 = 9800
If loss be y %, then∴ 9800 × y = 1400 100 ⇒ y = 100 = 14 2 % 7 7
- A dishonest grocer sells rice at a profit of 10% and also uses weights which are 20% less than the marked weight. The total gain earned by him will be
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As per the given in question ,
Gain by false weight = 200 × 100 = 25% 800
Here , a = 25% , b = 10%∴ Required gain % = a + b + a × b % 100
Correct Option: A
As per the given in question ,
Gain by false weight = 200 × 100 = 25% 800
Here , a = 25% , b = 10%∴ Required gain % = a + b + a × b % 100 Required gain % = 25 + 10 + 25 × 10 % = 37.5 % 100
