ECAT MCQs

He charges for 1,000 grams but supplies only 900 grams.
Gain percentage is 100/900 × 100 = 11 1/9%.

Their daily rate is 1/16 + 1/24 = 5/48.
In 4 days they do 5/12, so 7/12 remains.

The selling price is 80% of the marked price.
Thus, marked price = 960 ÷ 0.80 = Rs. 1,200.

The pipe fills 1/6 of the tank per hour.
In 2 hours it fills 2/6 = 1/3.

Sales tax is 12% of Rs. 5,000, or Rs. 600.
The total payable amount is Rs. 5,600.

Their combined rate is 1/8 + 1/12 = 5/24 tank per hour.
Time is 24/5 = 4.8 hours.

Commission is 6% of total sales.
Thus, 0.06 × 250,000 = Rs. 15,000.

The net rate is 1/10 - 1/15 = 1/30 tank per hour.
Therefore, the tank fills in 30 hours.

The taxed price is 115% of the original price.
So the original is 2,300 ÷ 1.15 = Rs. 2,000.

The net hourly rate is 1/4 - 1/12.
This equals 2/12 = 1/6.

For inverse variation, xy is constant.
Since 12 × 4 = 48, x = 48/6 = 8.

Using SI = PRT/100, 900 = P × 6 × 3/100.
Solving gives P = Rs. 5,000.