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

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.

Akhil sells a painting worth Rs. 50000 to B at a profit of 15%. After some time B sells it back to Akhil at a loss of 15%. Find Akhil's loss or gain per cent overall.

A manufacture makes a profit of 30% by selling a colour T.V. for Rs.15730. If the cost of manufacturing increases by 30% and the selling price is increased by 20%, find the profit percent made by the manufacture.

A milkman purchases milk at the rate of rs. 14 per litre and then mixes 40% water to it. Find the profit per cent, if he sells the mixture at Rs. 6 per litre.

40 unfinished articles were bought for Rs.54400 and Rs.140 per article was spent on their finishing. Find the profit percent made if, one-fourth of these articles were sold at Rs.2100 each and the rest for Rs.1800 each.

A certain number of eggs are bought at 4 for 5 and an equal number at 9 for Rs.10. If 15% were broken in transaction and remaining were sold at 2 for Rs.3, find the profit percent and the number of eggs of each kind bought, if Rs.510 were gained on the whole.

A man sells 4 identical kites for Rs. 12 and makes a profit of 20%. If he sells 6 such kites for Rs. 24, find his gain or loss percent.

Rohit purchased a TV for Rs.15,000 and sold it at 20% above the cost price. If the selling price includes Rs. 1000 as tax, find his net profit and profit percent.