Delhi Police Constable Exam Model Paper 4

Question : 84 of 100

Marks: +1, -0

Sita sells a table to Gita at a loss of 12%. Gita now sells the same table to Rita at a profit of 12.5%. If Sita sold the table to Gita at the same price at which Gita sold it to Rita, Sita would have made a profit/loss percentage of:

1% profit
1.9% profit
1% loss
1.5% loss

Validate

Solution:

GIVEN:
Sita sells a table to Gita at a loss of 12%. Gita now sells the same table to Rita at a profit of 12.5%.
FORMULA USED:
SP = (1 + Profit percentage/100) × CP
SP = (1 – Loss percentage/100) × CP
Loss percentage = [(CP – SP)/CP] × 100
CALCULATION:
Let the cost price of the table for Sita = Rs. x
Now, since Sita sold the table to Gita at a loss of 12%, the price paid by Gita = x × (1 – 12/100) = 0.88x
Now, since Gita sold it to Rita at a profit of 12.5%, the price paid by Rita = 0.88x × (1 + 12.5/100) = 0.88x × 1.125 = 0.99x
Hence,
Required loss percentage = [(x – 0.99x)/x] × 100 = 1% loss Smart Trick
Net change = x + y + (xy)/100
Here, x = -12% and y = 12.5%
∴ Profit/loss% =

-12 + 12.5 + (-12 × 12.5)/100 = -1%

Here, -ve sign shows loss.

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