Advertisements
Advertisements
Question
Three bags contain 64.2 kg of sugar. The second bag contains `4/5` of the contents of the first and the third contains `45 1/2`% of what there is in the second bag. How much sugar is there in each bag?
Solution
The total weight of sugar in three bags = 64.2 kg
Let the first bag contains x kg sugar.
The second bag contains = `x xx 4/5 kg = (4x)/5 kg`
Third bag contains = `x xx 4/5 xx 91/2%`
= `x xx 4/5 xx (91/2)/100`
= `(91x)/250 kg`
According to the question,
`x + (4x)/5 + (91x)/250 = 64.2`
⇒ `(250x + 200x + 91x)/250 = 64.2`
⇒ 541x = 64.2 × 250
⇒ 541x = 16050
⇒ `x = 16050/541 = 29.67 kg`
So, first bag contains the sugar = 23.73 kg
Second bag contains the sugar = `29.67 xx 4/5 = 23.73 kg`
And third bag contains the sugar = `91/250 xx 29.67 = 10.8 kg`
APPEARS IN
RELATED QUESTIONS
The cost price of 10 articles is equal to the selling price of 9 articles. Find the profit percent.
A dealer bought two tables for Rs 3120. He sold one of them at a loss of 15% and other at a gain of 36%. Then, he found that each table was sold for the same price. Find the cost price of each table.
A retailer buys an article at a discount of 20% on the listed price from a wholesaler. The shopkeeper marks up the price by 10% on the listed price. A buyer pays Rs 231 to get it after paying a sales tax at the rate of 5% on the price asked for. Find the profit percentage.
Javedbhai bought 35 electric mixers for Rs. 4300 each. To transport them to the shop, he spent Rs. 2100. If he expects to make a profit of Rs. 21000, at what price should he sell each mixer?
A mobile phone is sold for ₹ 8400 at a gain of 20%. The cost price of the mobile phone is ________
A lady bought an air-conditioner for Rs 15,200 and spent Rs 300 and Rs 500 on its transportation and repair respectively. At what price should she sell it to make a gain of 15%?
With the decrease in prices of tea by 15% Tonu, the chaiwallah, was able to buy 2 kg more of tea with the same Rs 45 that he spent each month on buying tea leaves for his chai shop. What was the reduced price of tea? What was the original price of tea?
A fruit seller purchased 20 kg of apples at ₹ 50 per kg. Out of these, 5% of the apples were found to be rotten. If he sells the remaining apples at ₹ 60 per kg, then his ______ is ______%.
If a chair is bought for ₹ 2000 and is sold at a gain of 10%, then selling price of the chair is ₹ 2010.
The marked price of an article is ₹ 2,000. The GST on the article is 12% and discount is ₹ 500, the total amount to be paid is ______.
