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Q:

A began a business with Rs. 85,000. He was joined afterwards by B with Ks. 42,500. For how much period does B join, if the profits at the end of the year are divided in the ratio of 3 : 1 ?

A) 4 months	B) 5 months
C) 6 months	D) 8 months

Answer & Explanation Answer: D) 8 months

Explanation:

Suppose B joined for x months . Then, ( 85000 * 12 )/(42500 * x) = 3. or x = (85000 * 12) / (42500 * 3) = 8.

So, B joined for 8 months.

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Q:

A, B, C hired a car for Rs. 520 and used it for 7, 8 and 11 hours respectively. Hire charges paid by B were :

A) 150	B) 160
C) 170	D) 180

Answer & Explanation Answer: B) 160

Explanation:

A : B : C = 7 : 8 : 11.

Hire charges paid by B = Rs. (520 * 8/26) = Rs. 160.

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Q:

X and Y invested in a business. They earned some profit which they divided in the ratio of 2 : 3. If X invested Rs. 40,000, the amount invested by Y is :

A) 20000	B) 40000
C) 60000	D) 80000

Answer & Explanation Answer: C) 60000

Explanation:

Suppose Y invested Rs. y. Then 40000/y = 2/3 or y = 60000 .

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Q:

A and B invest in a business in the ratio 3 : 2. If 5% of the total profit goes to charity and A's share is Rs. 855, the total profit is :

A) 500	B) 1000
C) 1500	D) 2000

Answer & Explanation Answer: C) 1500

Explanation:

Let the total profit be Rs. 100.

After paying to charity, A's share = (95*3/5) = Rs. 57.

If A's share is Rs. 57, total profit = Rs. 100.

If A's share is Rs. 855, total profit = (100/57*855) = 1500.

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Q:

Reena and Shaloo are partners in a business, Reena invests Rs, 35,000 for 8 months and Shaloo invests Rs. 42,000 for 10 months, out of a profit of Rs. 31,570, Reena's share is :

A) 12628	B) 18245
C) 11235	D) 10253

Answer & Explanation Answer: A) 12628

Explanation:

Ratio of their shares = (35000 * 8) : (42000 * 10) = 2 : 3.

Reena's share Rs. 31570 * (2 / 5) = Rs. 12628.

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Q:

If a + b + c = 13, $a^{2} + b^{2} + c^{2} = 69$ then find the ab + bc + ca :

A) 10	B) 30
C) 50	D) 70

Answer & Explanation Answer: C) 50

Explanation:

${(a + b + c)}^{2} = a^{2} + b^{2} + c^{2} + 2 (a b + b c + c a)$

$2 (a b + b c + c a) = {(a + b + c)}^{2} - (a^{2} + b^{2} + c^{2}) = 169 - 69 = 100 = (a b + b c + c a) = 50$

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Filed Under: Simplification

Q:

The total of 324 of 20 paise and 25 paise make a sum of Rs. 71. The no of 20 paise coins is :

A) 50	B) 100
C) 150	D) 200

Answer & Explanation Answer: D) 200

Explanation:

Let the number of 20 paise coins be x. Then the no of 25 paise coins = (324 - x).

0.20 * (x) + 0.25 (324 - x) = 71 => x = 200..

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Q:

Water boils at 212°F or 100°C and melts at 32°F or 0°C . If the temparature of the particular day is 35°C , it is equal to :

A) 85°F	B) 95°F
C) 96°F	D) 97°F

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