akshita invested 3/8 of a fixed amount in share market, 1/7 in real estate and remaining in buying a car. what part of money did she use in buying a car? please answer by taking x not 1
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Answers
Answered by
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A N S W E R :
- Akshita used 27/56 part of the money in buying the car.
Given :
- Akshita invested
- 3/8 in share market
- 1/7 in real estate
- Remaining in buying a car
To find :
- Part of money she used in buying a car ?
Solution :
- Let be fixed amount be " x "
According to the question,
- Investment of share market = 3/8 of x
- Investment of real estate = 1/7 of x
Now,
- Part of money used in buying the car
=> Fixed amount - (Investment in share market + Investment of real estate)
=> x - (3/8 of x + 1/7 of x)
=> x - (3x/8 + x/7)
=> x - [(3x + 7) + (x × 8)/56] {LCM of 8 and 7 is 56}
=> x - (21x + 8x/56)
=> x - (29x/56) = x/1 - 29x/56
=> (x ×56) - 29x/56 {LCM of 1 and 56 is 56}
=> 56x - 29x/56 = 27x/56
=> 27/56 of x
=> 27/56 part of the fixed amount
Hence,
- Akshita used 27/56 part of the money in buying the car.
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