Ace profit & loss with these problems

1. A trader sells an article at a profit of 30%. Had he sold it for Rs.352 less,he would have gained 20% only. The cost price of the article is (in rupees) A. 3,520 B. 3,580 C. 1,560 D. 1,700 Ans: A Explanation: Let CP= x Profit in 1st case= 30% of x= 0.3x Profit […]

1. A trader sells an article at a profit of 30%. Had he sold it for Rs.352 less,he would have gained 20% only. The cost price of the article is (in rupees)

A. 3,520 B. 3,580 C. 1,560 D. 1,700

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Ans: A

Explanation:

Let CP= x
Profit in 1st case= 30% of x= 0.3x
Profit in 2nd case= 20% of x=0.2x

Given 0.3x-0.2x= 352
0.1x= 352
X= 3520
2. A man bought 6 apples for Rs.24 and sold the 4 apples for Rs.20. His profit percentage is

A. 25 B. 30 C. 40 D. 50

Ans:A

Explanation:
CP of 1 apple= 24/6= 4

SP of 1 apple= 20/4=5

Profit % = profit/cp×100=1/4×100 = 25%
3. A shopkeeper sold two pressure cookers for Rs.1,800 each. On one he gains 30% and on the other, he loses 25%. His gain or loss per cent in the whole transaction is

A. 4.88% Loss B. 4.88% Gain

C. 3.74% Loss D. 3.74% Gain
Ans: A

Explanation:

Total S.P = Rs, 3600.
C.P = 100/ 100 gain % x SP
C.P. of 1st cooker = Rs [(100/130) x 1800] = 1385

C.P = 100/ 100- loss % x SP

C.P. of 2nd cooker =Rs. [(100/75) x 1800] = 2400
Total C.P. = Rs.3785
Loss = Rs. (3785-3600)= Rs 185

Loss%= (185/3785)* 100 = 4.88%

4. The profit earned by selling an article for Rs. 832 is equal to the loss incurred,when the same article is sold for Rs. 448. Then the sale price of the article for making 50% profit should be (in rupees)

A. 920 B. 960 C. 1,060 D. 1,200

Ans: B

Explanation:

Let ‘x’ be the CP of the article.
i.e. Rs.832-x = x-448
2x= 1280
Therefore, x=1280/2 =Rs. 640
Selling price to get 50% profit= 640 50% of 640
640 320= 960
5. A sells a pillow to Bata profit of 20%.B sells it to C at a profit of 25%.If C pays Rs.243 for it,the cost price of the pillow forA (in Rupees)is
A. 150 B. 160 C. 162 D. 173

Ans: C

Explanation:

Let CP of A= 100%

SP of A= CP of B= 100% 20% of 100= 120%
SP of B= CP of C = 120% 25% of 120=150%

150% = 243 =>; 1% = 243/150
CP of A= 100%= 100* 243/150= 162

6. A person a purchased a watch for Rs. 4800 and sold it to B for 8% profit. B sold it to C for 12% loss. The amount paid by C. corrected to nearest rupee, is

A. 4784 B. 4691 C. 4562 D. 4448

Ans: C

Explanation:

CP of watch= 4800
CP of B= 4800 8% of 4800= 4800 384=5184
CP of C= 5184-12% of 5184= 5184-622= 4562
7. A person P sells articles to Q profit 5%: Q sells it to another person R at a profit of 5% and R sells it another person S for Rs. 46305 by making a profit of 5%. Then the cost price of the article (in Rs.) for the first person is

A. 38000 B. 39000 C. 40000 D. 42000

Ans: C

Explanation:

Let amount be Rs x
According to the question
5% of 5% of 5% of x = 46305
X = 46305 x 100 x 100 x 100/ 105 x 105 x 105
= Rs 40000