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1. A seller mark the price 80% above cost price and give 50% discount on an item. While selling he cheats customer by giving 10% less in weight. Find his % profit overall ?
A. 25.56%
B. 28.57%
C. 24.57%
D. 26.75%
E. None of these
Sol. Let seller bought 100 gm at Rs 100.
Then, Selling Price = (50/100)×(180/100)×100 = 90
But he weigh 70 gm instead of 100 gm because he cheats 30% in weigh.
Profit % = [(90-70)/70]×100 = 28.57%.
2. X, Y and Z started a business with their investments in the ratio 1 : 2 : 4. After 6 month A invested the half amount more as before and B invested same the amount as before while C withdrew (1/4)th of his investment. Find the ratio of their profits at the end of the year ?
A. 5 : 12 : 13
B. 5 : 15 : 17
C. 5 : 12 : 14
D. 5 : 11 : 13
E. None of these
Sol. X’s Profit = X×6 + 6×(3/2)X = 15X
Y’s Profit = 2X×6 + 4X×6 = 36X
Z’s Profit = 4X×6 + 3X×6 = 42X
Ratio = 15X : 36X : 42X = 5 : 12 : 14.
3. A trader sells two bullocks for Rs. 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 (APPROX.) ?
A. 14%
B. 16%
C. 12%
D. 11%
E. 10%
Sol. S.P. of two bullock = 8400 + 8400 = 16800 Rs.
CP of first bullock = (100/200)×8400 = 7000.
CP of second bullock = 16800 – 7000 = 9800.
Required % loss = [(9800-8400)/9800]×100 = 14.28% ≈ 14%.
4. A and B are partners in a business. They invest in the ratio 5 : 6, at the end of 8 months A withdraws. If they receive profits in the ratio of 5 : 9, find how long B’s investment was used ?
A. 12 months
B. 14 montths
C. 16 months
D. 15 months
E. None of these
Sol. Let A and B investments be 5X, 6X.
Also assume B investment was used for y months.
8×5X : 6X×y = 5 : 9
Thus, 40X/6Xy = 5/9
y = 12.
5. A and B entered into partnership with Rs 700 and Rs 600 respectively. After 3 months A withdrew of his stock but after 3 months more he put back of what he had withdrawn. The profits at the end of the year are Rs 726, how much of this should A receive ?
A. Rs 633
B. Rs 635
C. Rs 665
D. Rs 366
E. Rs 376
Sol. A = 3×700 + 3×500 + 6×620 = 366
B = 600×12 = 360
A : B = 366 : 360 = 183 : 180
A receives = (183/363)×726 = Rs 366.
6. Pankaj calculates his profit percentage on the selling price whereas Chandan calculates his profit on the cost price. They find that the difference of their profit is Rs. 135. If the selling price of both of them are the same, and Pankaj gets 30% profit and Chandan gets 25% profit, then find their selling price ?
A. 1250
B. 1150
C. 1450
D. 1350
E. None of these
Sol. Let Pankaj’s SP = 100×5 = 500
Then, CP = 70×5 = 350
Chandan’s CP = 100×4 = 400
Chandan’s SP = 125×4 = 500
Difference of profits = 150-100 = 50
50→135
500→(135/50)×500 = Rs 1350.
7. A and B started a business with initial investments in the ratio 5 : 7. If after one year their profits were in the ratio 1 : 2 and the period for A’s investment was 7 months, B invested the money for ?
A. 10 months
B. 12 months
C. 15 months
D. 16 months
E. None of these
Sol. Let B invested money for X months.
5×7 : 7×X = 1 : 2
35 : 7X = 1 : 2
Solving, X = 10 months.
8. A profit of 8% is made by selling a shirt after offering a discount of 12%. If the marked price of the shirt is Rs.1080, find its cost price
A. 890
B. 780
C. 880
D. 900
E. None of these
Sol. Cost Price = 1080×(88/100)×(100/108) = Rs 880.
9. A profit of 25% is earned on goods when a discount of 20% is allowed on the marked price. What profit percentage will be earned when a discount of 10% is allowed on the marked price (APPROX.) ?
A. 41%
B. 45%
C. 48%
D. 39%
E. 36%
Sol. Let Marked price = 100
When discount of 20% is allowed,
Then cost price = (100/125)×80 = 64
As given discount = 10%
Thus, required % = [(90-64)/64]×100 = 40.625% ≈ 41%.
10. A shopkeeper sold an article for Rs.1,380 at a loss of 8%. At what price should it be sold to gain a profit of 8% ?
A. 1560
B. 1620
C. 1680
D. 1740
E. None of these
Sol. CP = (100/92)×1380
Req. Price = (108/100)×(100/92)×1380 = Rs 1620.
11. A merchant purchases a wrist watch for Rs. 450 and fixes its list price in such a way that after allowing a discount of 10%, he earns a profit of 20%. Then the list price of the watch is ?
A. Rs 650
B. Rs 625
C. Rs 610
D. Rs 600
Sol. C.P of wrist watch = Rs. 450
List price be ‘X’
Acc. to question,
450×(120/100) = 90X/100
X = 450×120/90 = Rs 600.
12. A radio dealer sold a radio at a loss of 2.5%. Had he sold it for Rs. 100 more. He would have gained 7.5%. In order to gain 12.5% he should sell it for ?
A. Rs 1080
B. Rs 1125
C. Rs 850
D. Rs 925
E. None of these
Sol. Let CP be X.
Then, SP be 0.975X.
SP after adding 100 = (0.975X + 100)
Accordng to question,
(0.975X + 100) = 1.075X
Solving, X = 1000
Thus, Required SP = 1.125×1000 = Rs 1125.
13. X, Y and Z started a business investing Rs 9000, 12000, 10000 respectively. X kept the money for whole year. Y took his entire amount after 3 months and Z with drew 3000 Rs after 3 months. If after a year, the total profit was Rs 7,900, what was X’s share in it?
A. Rs 4000
B. Rs 3600
C. Rs 3900
D. Rs 3500
E. None of these
Sol. In partnership problems profit earned is directly proportional to the product of Investment and Time period for which investment was made in the partnership business.
Required ratio of profit distribution among X, Y, and Z respectively will be as followed,
= 9 × 12: 12 × 3: 10 × 3 + 7 × 9 = 36: 12:31,
hence X will get 36/(36 + 12 + 31) × 7900 = Rs 3600.
14. X sells a tube to B at a profit of 25% and Y sells it to Z at profit of 20%. If Z pays Rs 450 for it, what did X pay for it?
A. Rs 240
B. Rs 247.5
C. Rs 300
D. Rs 500
E. None of these
Sol. Let X paid = Rs x
120% of 125 % of x = 450
(120/100) × (125/100) × x = 450
x = Rs 300.
15. The cost price of goods with a bankrupt is Rs. 25500 and if the goods had realised in their full value, his creditors would have received 85 paise in the rupee. But 2/5 of the goods were sold at 17% and the remainder at 22% below their cost price. How many paise in a rupee was received by the creditors?
A. 72 paise
B. 68 paise
C. 55 paise
D. 52 paise
E. None of these
Sol. Total debt = 25500× 100/85 = Rs.30000
Money received by selling the goods = 25500(2/5×83/100 + 3/5×78/100)
= 25500/500 (166+234)
= 51×400 = Rs.20400
Therefore, money received by the creditors for a rupee=Rs.(20400/30000)
= Rs.0.68 = 68 paise.
Hence, the creditor received 68 paise in a rupee.
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