Construct ΔABC such that AB = 2.5 cm, BC = 6 cm and AC = 6.5 cm. Measure ∠B.
Solution > The steps for construction are given below: 1. Draw a line segment BC = 6 cm. 2. Considering... View Article
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Draw ΔPQR with PQ = 4 cm, QR = 3.5 cm and PR = 4 cm. What type of triangle is this?
Solution The steps for construction are given below: 1. Draw a line segment QR = 3.5 cm. 2. Considering Q... View Article
Construct ΔXYZ in which XY = 4.5 cm, YZ = 5 cm and ZX = 6 cm
Solution The steps for construction are given below: 1. Draw a line segment YZ = 5 cm. 2. Considering Z... View Article
Let L be a line and P be a point not on L. Through P, draw a line m parallel to L. Now join P to any point Q on L. Choose any other point R on m. Through R, draw a line parallel to PQ. Let this meet L at S. What shape do the two sets of parallel lines enclose?
Solution > The steps for construction are given below: 1. Draw a line L. 2. Mark any point Q on L... View Article
Draw a line L. Draw a perpendicular to L at any point on L. On this perpendicular choose a point X, 4 cm away from l. Through X, draw a line m parallel to L.
Solution The steps for construction are given below: 1. Draw a line L. 2. Mark any point P on line L. 3.... View Article
Draw a line, say AB, take a point C outside it. Through C, draw a line parallel to AB using ruler and compasses only.
Solution The steps for construction are given below: 1. Draw a line AB. 2. Mark any point Q on AB and a... View Article
If Meena gives an interest of ₹ 45 for one year at 9% rate p.a. What is the sum she has borrowed?
Solution From the given detail we get to know that Simple Interest = ₹ 45 Rate = 9% Time =... View Article
What rate gives ₹ 280 as interest on a sum of ₹ 56,000 in 2 years?
Solution From the given detail we get to know that P = ₹ 56000 SI = ₹ 280 t =... View Article
Find the amount to be paid at the end of 3 years in each case: (a) Principal = ₹ 1,200 at 12% p.a. (b) Principal = ₹ 7,500 at 5% p.a.
(a) Principal = ₹ 1,200 at 12% p.a. Answer From the given detail we get to know that Principal (P)... View Article
Amina buys a book for ₹ 275 and sells it at a loss of 15%. How much does she sell it for?
Given Cost price of book = ₹ 275 Percentage of loss = 15% Find out We have to determine the selling... View Article
(i) Chalk contains calcium, carbon and oxygen in the ratio 10:3:12. Find the percentage of carbon in chalk. (ii) If in a stick of chalk, carbon is 3g, what is the weight of the chalk stick?
(i) Chalk contains calcium, carbon and oxygen in the ratio 10:3:12. Find the percentage of carbon in chalk. Answer From... View Article
Juhi sells a washing machine for ₹ 13,500. She loses 20% in the bargain. What was the price at which she bought it?
Given Selling price of washing machine = ₹ 13500 Percentage of loss = 20% Find out We have to determine the cost... View Article
I buy a T.V. for ₹ 10,000 and sell it at a profit of 20%. How much money do I get for it?
Given Cost price of the T.V. = ₹ 10000 Percentage of profit = 20% Find out We have to determine the money... View Article
Arun bought a car for ₹ 3,50,000. The next year, the price went upto ₹ 3,70,000. What was the Percentage of price increase?
Given Arun bought a car for = ₹ 350000 The price of the car in the next year went up... View Article
The population of a city decreased from 25,000 to 24,500. Find the percentage decrease.
Given The initial population of the city = 25000 The final population of the city = 24500 Find out We... View Article
Convert each part of the ratio to percentage: (a) 3 : 1 (b) 2: 3: 5 (c) 1:4 (d) 1: 2: 5
(a) 3: 1 Answer To find total parts will first add the given ratio On adding the given ratio =... View Article
Tell what is the profit or loss in the following transactions. Also find profit per cent or loss per cent in each case. (a) Gardening shears bought for ₹ 250 and sold for ₹ 325. (b) A refrigerator bought for ₹ 12,000 and sold at ₹ 13,500. (c) A cupboard bought for ₹ 2,500 and sold at ₹ 3,000. (d) A skirt bought for ₹ 250 and sold at ₹ 150.
(a) Gardening shears bought for ₹ 250 and sold for ₹ 325. Answer From the given details we get to... View Article
A local cricket team played 20 matches in one season. It won 25% of them. How many matches did they
Given A cricket team played 20 matches in one season They won 25% of matches Find out We have to... View Article
Meeta saves ₹ 4000 from her salary. If this is 10% of her salary. What is her salary?
Given Meeta saves ₹ 4000 from her salary and it is 10% of her salary Find out We have to... View Article
Out of 15,000 voters in a constituency, 60% voted. Find the percentage of voters who did not vote. Can you now find how many actually did not vote?
Given In a city Total number of voters in the constituency = 15000 Percentage of people who voted in the... View Article
