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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. Now at point P, draw a... 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 point P outside AB and... 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 = 1 year We have to find the principal amount... 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 = 2 years. Formula R = (100 × SI) / (P × T) = (100 × 280)/... 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) = ₹ 1200 Rate (R) = 12% p.a. Time (T) =... 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 price of the book Percentage of... 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 the given details we... 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 price washing machine... 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 we get from it Solution... 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 to = ₹ 370000 Find out We have to... 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 have to determine the percentage of... 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 = 3 + 1 = 4 Let us start with 1st part =... 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 know that Cost price of gardening shears = ₹... 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 determine the number of matches they... 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 determine her salary Solution Let us assume... 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 election = 60% Find out We have to... View Article

In a city, 30% are females, 40% are males and remaining are children. What per cent are children?

Given In a city 30% are females 40% are males Rest are children Find out We have to determine the percentage of children present in the... View Article

Convert given percent to decimal fractions and also fractions in simplest forms: (a) 25% (b) 150% (c) 20% (d) 5%

(a) 25% Answer Let us first convert the given percentage into a fraction = (25/100) = 1/4 Now will convert the obtained... View Article

Find the whole quantity if (a) 5% of it is 600 (b) 12% of it is ₹ 1080. (c) 40% of it is 500k km (d) 70% of it is 14 minutes (e) 8% of it is 40 liters

(a) 15% of 250 Answer First will convert given percentile into fraction on dividing by 100 = (15/100) × 250 = (15/10) × 25 =... View Article

Find: (a) 15% of 250 (b) 1% of 1 hour (c) 20% of ₹ 2500 (d) 75% of 1 kg

(a) 15% of 250 Answer First will convert the percentile to fraction by dividing 100 and then multiply = (15/100) × 250 = (15/10)... View Article