Question : A, B, and C received an amount of Rs. 8400 and distributed it among themselves in the ratio 6 : 8 : 7, respectively. If they save in the ratio of 3 : 2 : 4, respectively, and B saves Rs. 400, then what is the ratio of the expenditures of A, B, and C respectively?
Option 1: 6 : 8 : 7
Option 2: 8 : 6 : 7
Option 3: 9 : 14 : 10
Option 4: 12 : 7 : 9
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Correct Answer: 9 : 14 : 10
Solution : Given: A, B, and C received an amount of Rs. 8400. The sum A will receive $= 6 ×\frac{8400}{6+8+7} = 6 × \frac{8400}{21} = 2400$ Amount B will receive $= 8 × \frac{8400}{6+8+7} = 8 × \frac{8400}{21}= 3200$ The amount C will receive $= 7 × \frac{8400}{6+8+7} = 7 × \frac{8400}{21} = 2800$ Assume that A, B, and C have saved $3y, 2y,$ and $4y$ respectively. Also, it is given that B saves money which is $2y = 400 ⇒ y = 200$ The amount saved by A, B, and C is 3 × 200 = Rs. 600, 2 × 200 = Rs. 400, and 4 × 200 = Rs. 800 respectively. Their expenditure can be expressed as follows, Expenditure of A = 2400 – 600 = Rs. 1800 Expenditure of B = 3200 – 400 = Rs. 2800 Expenditure of C = 2800 – 800 = Rs. 2000 The ratio of their expenditure = 1800 : 2800 : 2000 = 9 : 14 : 10 So, the ratio of expenditure of A : B : C = 9 : 14 : 10 Hence, the correct answer is 9 : 14 : 10.
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Question : The ratio of income of Jitendra, and Narendra is $4: 7$ and the ratio of their expenditure is $6: 5$ respectively. If Jitendra saves Rs. 400 out of Rs. 2800 income, then find the savings of Narendra.
Option 1: Rs. 2,900
Option 2: Rs. 2,000
Option 3: Rs. 4,900
Option 4: Rs. 3,900
Question : If $9 a+9 b+9 c=81$ and $4 a b+4 b c+4 c a=160$, then what is the value of $6 a^2+6 b^2+6 c^2$?
Option 1: 1
Option 2: 3
Option 3: 4
Option 4: 6
Question : Directions: How many 8's followed by an even number and preceded by an odd number? 7, 8, 5, 6, 7, 8, 4, 3, 2, 1, 3, 8, 6, 4, 3, 7, 8, 4, 2, 1, 3, 8, 2, 8, 9
Option 1: 4
Option 3: 2
Option 4: 5
Question : If A : B = 2 : 3, B : C = 6 : 7, C : D = 14 : 3, then find A : B : C : D.
Option 1: 12 : 12 : 4 : 6
Option 2: 7 : 2 : 10 : 4
Option 3: 8 : 12 : 14 : 3
Option 4: 8 : 5 : 14 : 6
Question : An amount of Rs. 380 is to be divided among 5 men, 8 boys, and 4 women such that the ratio of the amount received by them is in the ratio of 8 : 4 : 7. What is the share of a woman?
Option 1: Rs. 35
Option 2: Rs. 36.5
Option 3: Rs. 40
Option 4: Rs. 32.8
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