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# Maths Quiz (Profit & Loss) for KVS/NVS & CTET Exams

Q1. A sells an item at 20% profit to B. B sells it to C at 10% profit. C sells it to D at Rs. 16 profit. Difference between the cost price of D and cost price of A was Rs. 500. How much did B pay to A for the item?
(a) Rs. 1240
(b) Rs. 1250
(c) Rs. 1440
(d) Rs. 1450

Q2. Prasad sold his work tools for Rs. 1850 and earned a profit of 25%. At what price did Prasad buy the work tools?
(a) Rs. 1360
(b) Rs. 1300
(c) Rs. 1240
(d) Rs. 1480

Q3. Kamya purchased an item of Rs. 46000 and sold it at a loss of 12%. With that amount, she purchased another item and sold it at a gain of 12%. What was her overall gain/loss?
(a) Loss of Rs. 662.40
(b) Profit of Rs. 662.40
(c) Loss of Rs. 642.80
(d) Profit of Rs. 642.80

Q4. Seema purchased an item for Rs. 9600 and sold it for a loss of 5%. From that money, she purchased another item and sold it for a gain of 5%. What is her overall gain/loss?
(a) Loss of Rs. 36
(b) Profit of Rs. 24
(c) Loss of Rs. 54
(d) Loss of Rs. 24

Q5. A shopkeeper sells two watches for Rs. 308 each. On one, he gets 12% profit and on the other, 12% loss. His profit or loss % in the entire transaction was
(a) 1 11/15% loss
(b) 1 11/25% gain
(c) 3 2/25% loss
(d) 1 11/25% loss

Q6. Rajni purchased a mobile phone and a refrigerator for Rs. 12000 and Rs. 10000, respectively. She sold the refrigerator at a loss of 12% and mobile phone at a profit of 8%. What is her overall loss/profit?
(a) Loss of Rs. 280
(b) Profit of Rs. 2160
(c) Loss of Rs. 240
(d) Profit of Rs. 2060

Q7. The profit earned after selling an article for Rs. 1754 is the same as loss incurred after selling the article for Rs. 1492. What is the cost price of the article?
(a) Rs. 1623
(b) Rs. 1523
(c) Rs. 1689
(d) Rs. 1589

Q8. Manish bought 25 kg of rice at Rs. 32 per kg and 15 kg of rice at Rs. 36 per kg. What profit did he get, when he mixed the two varieties together and sold it at Rs. 40.20 per kg?
(a) 25%
(b) 40%
(c) 30%
(d) 20%

Q9. If on selling 12 notebooks any seller makes a profit equal to the selling price of 4 notebooks, what is his percent profit?
(a) 50%
(b) 25%
(c) 16 2/3%
(d) 40%

Q10. Manoj sold an article for Rs. 15000. Had he offered discount of 10% on the selling price, he would have earned a profit of 8%. What is the cost price?
(a) Rs. 12500
(b) Rs. 13500
(c) Rs. 12250
(d) Rs. 13250

Solutions

S2. Ans.(d)
Sol. Here, selling price = Rs. 1850
Profit percentage = 25%
∴ Cost price =(Selling price × 100)/(100 + profit%)
=(1850 × 100)/(100 + 25)=(1850 × 100)/125
= Rs. 1480

S3. Ans.(a)
Sol. Here, cost price = Rs. 46000
Loss percentage = 12%
∴ Selling price =46000((100-12)/100)
=(46000 × 88)/100
= 460 × 88 = Rs. 40480
Again, cost price = Rs. 40480
Gain percentage = 12%
∴ Selling price =40480((100 + 12)/100)
=40480×(112/100) = Rs. 45337.60
Hence, overall loss = 46000 – 45337.60
= Rs. 662.40

S4. Ans.(d)
Sol. Here, cost price = Rs. 9600
Loss percentage = 5%
∴ Selling price = 9600×((100 – 5)/100)
=9600×(95/100) = Rs. 9120
Again, cost price = 9120
Gain percentage = 5%
∴ Selling price =9120((100 + 5)/100)
=(9120 × 105)/100
= Rs. 9576
Hence, overall loss = 9600 – 9576
= Rs. 24

S5. Ans.(d)
Sol. Here, selling price = Rs. 308
Profit percentage = 12%
∴ Cost price =(308 × 100)/(100 + 12)
=(308 × 100)/112
= Rs. 275
Again, selling price = Rs. 308
Loss percentage = 12%
∴ Cost price =(308 × 100)/88
= Rs. 350
In whole transaction,
Total SP = 308 × 2 = Rs. 616
Total CP = 275 + 350
= Rs. 625
∴ Loss = 625 – 616
= Rs. 9
Loss percentage =(9/625)×100
=(900/625)=36/25
=1 11/25% loss

S6. Ans.(c)
Sol. Here, purchasing price for mobile phone = Rs. 12000
Profit percentage = 8%
∴ Selling price =12000((100 + 8)/100)
= 12000×(108/100) = Rs. 12960
Again, purchasing price for refrigerator = Rs. 10000
Loss percentage = 12%
∴ Selling price =10000×((100-12)/100)
=10000×(88/100) = Rs. 8800
Now, total SP = 12960 + 8800
= Rs. 21760
Total CP = Rs 22000
∴ Total loss = 22000 – 21760 = Rs. 240

S7. Ans.(a)
Sol. Here, SP1 = Rs. 1754 ; SP2 = Rs. 1492
Then, cost price =(SP1 + SP2)/2
=(1754 + 1492)/2=3246/2
= Rs. 1623

S8. Ans.(d)
Sol. Here, cost price of 25 kg of rice
= 25 × 32 = Rs. 800
Cost price of 15 kg of rice
= 15 × 36 = Rs. 540
Total quantity of rice
= 25 + 15 = 40 kg
Total cost of rice = 540 + 800
= Rs. 1340
Selling price of rice
= 40 × 40.20 = Rs. 1608
∴ Profit = 1608 – 1340 = Rs. 268
Profit percentage =(268/1340)×100=20%

S9. Ans.(a)
Sol. Let the selling price of each notebook be Rs. 1
Then, selling price of 12 notebooks = Rs. 12
Profit = Selling price of 4 notebooks = Rs. 4
Cost price = Selling price – Profit
= 12 – 4 = Rs. 8
Profit percentage =(4/8)×100=50%

S10. Ans.(a)
Sol. Here, selling price of article
= Rs. 15000
Discount = 10%
Then, selling price
=15000-(15000×10/100)
= 15000 – 1500
= Rs. 13500
Profit = 8%
Then, cost price = (Selling price × 100)/(100 + Profit%)
=(13500 × 100)/108
= 125 × 100 = Rs. 12500