(English Medium) ICSE Class 9 - CISCE Question Bank Solutions

Sum of the areas of two squares is 400 cm². If the difference of their perimeters is 16 cm, find the sides of the two squares. 

Find the area and the perimeter of a square with diagonal 24 cm. [Take √2 = 1.41 ] 

The perimeter of a semicircular plate is 108 cm. find its area. 

Evaluate: `(tan 47°)/(cot 43°)`

Evaluate: `(cot54°)/(tan36°) + (tan20°)/(cot70°)-2`

Evaluate: `(2tan53°)/(cot 37°)-(cot 80°)/(tan 10°)`

Show that: tan 10° tan 15° tan 75° tan 80° = 1.

For triangle ABC, show that:

`tan(("B"+"C")/2) = cot("A"/2)`

Evaluate:

tan (55° – A) – cot (35° + A)

Find the loss percentage incurred by selling a watch for Rs.1610 that was purchased for Rs.1750.

A man buys a car for Rs. 75000 and spends Rs.15000 on repairing it. If he sells the car now for Rs.114000, find the gain percent.

A shopkeeper purchased 1000 notebooks at Rs.240 a score. If he sells the notebooks at.15 each, find his profit or loss percent.

A shopkeeper bought locks at the rate of 8 locks for Rs.520 and sold them at the rate of 12 locks for Rs.936. Calculate his gain or loss percent and the number of locks he should sell to earn a net profit of Rs.520.

Amita purchased a handbag for Rs.3000 and sold it at 20% above the cost price. If Rs. 360 is paid as tax on it, find her net profit and profit percentage.

A manufacturer makes 800 straws at a cost of 50 paise per straw. He fixes the selling price such that if only 640 straws are sold, he would make a profit of 50% on his outlay. Find his actual profit or loss percent, if he sells 720 straws.

By selling a cupboard for Rs.6480, a merchant loses 10%. Calculate his loss if he sells it for Rs.7560.

The cost price of 5 pens is the same as the selling price of 4 of them. Find the gain percent.

A dealer sells two refrigerators for Rs.37500 each. On one he makes a profit of 25% while on the other he makes a loss of 25%. Calculate his overall loss or profit percentage in the transaction.

A trader mixes 200 kg of sugar at Rs.18 per kg with 100kg of sugar at Rs.22 per kg. He then sells the sugar at Rs.20 per kg. Find his profit percent.

By selling 12 glasses for Rs.600 a shopkeeper makes a profit of 25%. Find his profit or loss percent when he sells 15 glasses for Rs.540.