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- Question
A merchant buys two articles for Rs.600. He sells one of them at a profit of 22% and the other at a loss of 8% and makes no profit or loss in the end. What is the selling price of the article that he sold at a loss ?
Options- A. Rs. 404.80
- B. Rs. 536.80
- C. Rs.440
- D. Rs. 160
- Correct Answer
- Rs. 404.80
ExplanationLet C1 be the cost price of the first article and C2 be the cost price of the second article.
Let the first article be sold at a profit of 22%, while the second one be sold at a loss of 8%.We know, C1 + C2 = 600.
The first article was sold at a profit of 22%. Therefore, the selling price of the first article = C1 + (22/100)C1 = 1.22C1
The second article was sold at a loss of 8%. Therefore, the selling price of the second article = C2 - (8/100)C2 = 0.92C2.The total selling price of the first and second article = 1.22C1 + 0.92C2.
As the merchant did not make any profit or loss in the entire transaction, his combined selling price of article 1 and 2 is the same as the cost price of article 1 and 2.
Therefore, 1.22C1 + 0.92C2 = C1+C2 = 600
As C1 + C2 = 600, C2 = 600 - C1. Substituting this in 1.22C1 + 0.92C2 = 600, we get
1.22C1 + 0.92(600 - C1) = 600
or 1.22C1 - 0.92C1 = 600 - 0.92*600
or 0.3C1 = 0.08*600 = 48
or C1 = 48/(0.3) = 160.
If C1 = 160, then C2 = 600 - 160 = 440.
The item that is sold at loss is article 2. The selling price of article 2 = 0.92*C2 = 0.92*440 = 404.80. - 1. A father said to his son, "I was as old as you are at the present at the time of your birth". If the father's age is 38 years now, the son's age five years back was:
Options- A. 14 years
- B. 19 years
- C. 33 years
- D. 38 years Discuss
- 2. A tree increases annually by 1/8 th of its height. By how much will it increase after 2 years, if it stands today 64 cm high?
Options- A. 72 cm
- B. 74 cm
- C. 75 cm
- D. 81 cm Discuss
- 3. Vandana invested an amount of ? 8000 in a fixed deposit scheme for 2 yr at the rate of 5% pa compound interest. How much amount will Vandana get on maturity of the fixed deposit?
Options- A. ? 8000
- B. ? 8890
- C. ? 8888
- D. ? 8820 Discuss
- 4. 4.036 divided by 0.04 gives :
Options- A. 1.009
- B. 10.09
- C. 100.9
- D. None of these Discuss
- 5. A man spends 2/5 of his income on house rent, 3/10 on food and 1/8 on conveyance. If he has ? 2800 left with him, find his expenditure on food and conveyance together.
Options- A. ? 7000
- B. ? 5500
- C. ? 6700
- D. ? 6800 Discuss
- 6. The number obtained by interchanging the digits of a two-digit number is more than the original number by 27 and the sum of the digits is 13. What is the original number ?
Options- A. 58
- B. 67
- C. 76
- D. 85 Discuss
- 7. 2, 4, 12, 48, 240, (....)
Options- A. 960
- B. 1440
- C. 1080
- D. 1920 Discuss
- 8. The value of log2 16 is:
Options- A.
1 8 - B. 4
- C. 8
- D. 16 Discuss
- 9. X and Y can do a piece of work in 20 days and 12 days respectively. X started the work alone and then after 4 days Y joined him till the completion of the work. How long did the work last?
Options- A. 6 days
- B. 10 days
- C. 15 days
- D. 20 days Discuss
- 10. At a simple interest, a sum amounts to ? 1012 in 2 1/ 2 and becomes ? 1067.20 in 4 yr. What is the rate of interest
Options- A. 2.5%
- B. 3%
- C. 4%
- D. 5% Discuss
More questions
Correct Answer: 14 years
Explanation:
⟹ 2x = 38.
⟹ x = 19.
∴ Son's age 5 years back (19 - 5) = 14 years.
Correct Answer: 81 cm
Explanation:
Increase% = (1/8) x 100% = 12.5%
Height after 2 years =64 x {1 +25/(2 x 100)}2
= 64 x 9/8 x 9/8
= 81 cm
Correct Answer: ? 8820
Explanation:
Given, P = ? 8000, R = 5% and n = 2 Yr
According to the formula,
Amount = p ( 1 + R / 100 )n
= 8000 ( 1 + 5/100 )2
= 8000 x (105/100)2
=8000 x (21/20) x (21/20)
= 20 x 21 x 21
= ? 8820
Correct Answer: 100.9
Explanation:
| 4.036 | = | 403.6 | = 100.9 |
| 0.04 | 4 |
Correct Answer: ? 6800
Explanation:
Hint 1.
Let consider the monthly income = x ;
Amount spend on House rent = 2x/5;
Amount spend on food = 3x/10;
Amount spend on conveyance = x/8;
After Expenditure , The left amount = 2800;
According to Question;
x - ( 2x/5 + 3x/10 + x/8 ) = 2800 ;
x- ((16x + 12x + 5x)/40) = 2800 ;
x - 33x/40 = 2800 ;
(40x - 33x)40 = 2800 ;
7x/40 = 2800 ;
7x = 2800 x 40 ;
x = 2800 x 40/7 ;
x = 400 x 40 ;
x = 16000 ;
Expenditure on food = 3x/10 = 3 x 16000 /10= ? 4800
Expenditure on conveyance = x/8 = 1 x 16000/8 = ? 2000
? Expenditure on food and conveyance together
=? (4800 + 2000) = ? 6800
Solution 2 .
part of income left
= 1 - (2/5 + 3/10 + 1/8 )
=1- (16 + 12 + 5/40)
= 1- 33/40 = 40 - 33/40 = 7 /40
Let the monthly income = x
According to the question,
7/40 x = 2800
? x = 2800 x 40/7
= 400 x 40 = ? 16000
Expenditure on food = 3/10 x 16000 = ? 4800
Expenditure on conveyance = 1/8 x 16000 = ? 2000
? Expenditure on food and conveyance together
=? (4800 + 2000) = ? 6800
Correct Answer: 58
Explanation:
Let the ten's place digit = x
and unit's place digit = y
? The original number = 10x + y
After interchanging the digits
Number will become 10y + x
? according to the given question,
y + x = 13 and
(10y + x ) - (10x + y) = 27
? 9y - 9x = 27
? y - x = 3 ................(i)
and y + x = 13 .................(ii)
On solving Eqs.(i) and (ii) , we get
y = 8 and x = 5
? Required number is
10x + y = 10 x 5 + 8 = 58
Correct Answer: 1440
Explanation:
So, the correct next number is 1440.
Correct Answer: 4
Explanation:
Then, 2n = 16 = 24 ⟹ n = 4.
∴ log2 16 = 4.
Correct Answer: 10 days
Explanation:
| Work done by X in 4 days = | ❨ | 1 | x 4 | ❩ | = | 1 | . |
| 20 | 5 |
| Remaining work = | ❨ | 1 - | 1 | ❩ | = | 4 | . |
| 5 | 5 |
| (X + Y)'s 1 day's work = | ❨ | 1 | + | 1 | ❩ | = | 8 | = | 2 | . |
| 20 | 12 | 60 | 15 |
| Now, | 2 | work is done by X and Y in 1 day. |
| 15 |
| So, | 4 | work will be done by X and Y in | ❨ | 15 | x | 4 | ❩ | = 6 days. |
| 5 | 2 | 5 |
Hence, total time taken = (6 + 4) days = 10 days.
Correct Answer: 4%
Explanation:
Given, T1 = 21/2 yr, T2 = 4 Yr
According to the question.
[P + (P x R x 4)/100] - [P + (P x R x 2.5)/100] = 1067.20 - 1012 = 55.2
? (1.5 x P x R)/100 = 55.2
? PR = (552 x 100) / 15 = 3680
For 4 yr.
SI = PRT/100 = (3680 x 4)/100 = ? 147.2
? Sum (P) = 1067.2 - 147.2 = ? 920
We have, PR = 3680
? R = 3680/P = 3680/920 = 4%
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