Aditya incure a loss of rupees 12 by selling a cricket Ball and make a profit of rupees 7 by selling a tennis ball. Find his net profit or loss by 12 selling cricket Ball and 10 tennis ball
Answers
Given:
(i) Aditya incure a loss of rupees 12 by selling a cricket Ball.
(ii) He makes a profit of rupees 7 by selling a tennis ball.
To find:
(i) His net profit or loss by 12 selling cricket Ball and 10 tennis ball
Solution:
Let the Cost Price of a cricket ball be Rs (x+12).
Since, he incurs a loss of Rs 12,
SP of 1 cricket ball = Rs (x+12)-12 = Rs x.
Let the Cost Price of a tennis ball be Rs y.
Since, he incurs a profit of Rs 7,
SP of 1 cricket ball = Rs (y+7) = Rs (y+7)
He purchases 12 Cricket Balls.
So, SP of 12 cricket balls
= Rs 12x
Again, he purchases 10 tennis balls.
So, SP of 10 tennis balls,
= 10 (y+7)
= Rs (10y + 70)
So, total SP = Rs (12x + 10y + 70)
Also, CP of 12 cricket balls = 12 (x+12)
Rs (12x + 144)
And, CP of 10 tennis balls = 10y
Total CP = Rs (12x + 10y + 144)
Since, CP>SP, he incurs a loss.
Loss value = CP-SP
= Rs (12x + 10y + 144 - 12x - 10y - 70)
= Rs 74
He incurs a loss of Rs 74.
Given :
The Loss amount after selling a cricket ball = Rs 12
The Profit amount after selling a tennis ball = Rs 7
Number of cricket ball sold = 12
Number of tennis ball sold = 10
To Find :
The net profit and loss
Solution :
∵ Loss amount after selling 1 cricket ball = Rs 12
∴ Loss amount after selling 12 cricket ball = Rs 12 × 12
= Rs 144
Similarly
∵ Profit amount after selling 1 tennis ball = Rs 7
∴ Profit amount after selling 10 tennis ball = Rs 7 × 10
= Rs 70
Since, Loss amount is more than profit amount, So there is net loss in selling balls
So,
Net Loss Amount = Loss amount after selling 12 cricket ball - Profit amount after selling 10 tennis ball
= Rs 144 - Rs 70
= Rs 74