Simplification


  1. 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?









  1. View Hint View Answer Discuss in Forum

    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

    Correct 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


  1. 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. ?









  1. View Hint View Answer Discuss in Forum

    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

    Correct 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



  1. 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 ?









  1. View Hint View Answer Discuss in Forum

    Adult fare = ₹ 114
    According to the question,
    child fare = Adult fare x 1/6
    = 144 x 1/6 = ₹ 19

    Correct 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


  1. 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 ?









  1. View Hint View Answer Discuss in Forum

    Let the cost of 1 pencil = x
    ∴ Cost of 1 pen = (x + 5)
    According to the question,
    12(x + 5) + 5x = 111
    Solve the equation

    Correct 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



  1. 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.









  1. View Hint View Answer Discuss in Forum

    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 equation

    Correct 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