Simplification
- Mani Ram divides ₹ 17200 among his 5 sons, 4 daughters and 2 friends. If each daughter receives four times as much as each friend receives and each son receives five times as mush as each friend receives, how much does each daughter receive?
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Let share of each friend = a.
Then, share of each daughter = 4a.
and share of each son = 5a.
According to the question,
5 x 5a + 4 x 4a + 2 x a= 17200Correct Option: D
Let share of each friend = a.
Then, share of each daughter = 4a.
and share of each son = 5a.
According to the question,
5 x 5a + 4 x 4a + 2 x a = 17200
⇒ 25x + 16x + 2x = 17200
⇒ 43x = 17200
∴ x = 17200/43 = 400
∴ Share of each daughter
= 4x = 4 x 400
= ₹ 1600
- From a group of men and women, 15 women leave from it, then there are 2 men for each women. After this, 45 men leave , then there are 5 women for each men. Find the double of the number of women in the beginning. ?
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Let at present, there are c men, then number of women = 5c
Before the men had left
number of men = c + 45 and number of women = 5cCorrect Option: D
Let at present, there are c men, then number of women = 5c
Before the men had left
number of men = c + 45 and
number of women = 5c
∴ c + 45 = 2 x 5c
⇒ 9c = 45
∴ c = 45/9 = 5
Hence, number of women in the beginning
= 5c + 15 = 5 x 5 + 15
= 25 + 15 = 40
∴ Double of the women = 40 x 2 = 80
- Bus fare between Raipur and Mirpur for one adult is six times the fare for one child. If an adult's bus fare is ₹ 114, how much amount will be paid by 4 adults and 5 children together for travelling the same distance ?
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Adult fare = ₹ 114
According to the question,
child fare = Adult fare x 1/6
= 144 x 1/6 = ₹ 19Correct Option: B
Adult fare = ₹ 114
According to the question,
child fare = Adult fare x 1/6
= 144 x 1/6 = ₹ 19
∴ Total amount paid by 4 adults and 5 children are for the same distance.
= ₹(4 x 144 + 5 x 19)
= ₹(456 + 95) = ₹ 551
- The total cost of 12 pens and 5 pencils is equal to ₹ 111. Also, the cost of 1 pencil is ₹ 5 less than the cost of 1 pen. What will be the cost of 8 pens and 9 pencils ?
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Let the cost of 1 pencil = x
∴ Cost of 1 pen = (x + 5)
According to the question,
12(x + 5) + 5x = 111
Solve the equationCorrect Option: C
Let the cost of 1 pencil = x
∴ Cost of 1 pen = (x + 5)
According to the question,
12(x + 5) + 5x = 111
⇒ 12x + 60 + 5x = 111
⇒ 17x = 111 - 60 = 51
⇒ x = 51/17 = 3
∴ Cost of 1 pencil = ₹ 3
Cost of 1 pen = ₹ 8
∴ Total Cost of 8 pens and 9 pencils
= (8 x 8 + 9 x 3)
= ₹(64 + 27) = ₹ 91
- When an amount is distributed amongst 14 girls, each of them gets ₹ 160 more than the amount received by each girl in that condition when the same amount t is distributed equally amongst 18 girls. Find the amount.
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Let the total amount = x
According to the question.
14 girls are getting x amount.
1 girl will get x/14 amount.
Similarly if
18 girls are getting x amount.
1 girl will get x/18 amount.
according to question,
x/14 - x/18 = 160
Solve the equationCorrect Option: C
Let the total amount = x
According to the question.
14 girls are getting x amount.
1 girl will get x/14 amount.
Similarly if
18 girls are getting x amount.
1 girl will get x/18 amount.
according to question,
x/14 - x/18 = 160
⇒ (9x - 7x)/126 = 160
⇒ 2x/126 = 160
⇒ x/126 = 80
∴ x = 126 x 80 = ₹ 10080