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?
Advertisements
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
If the selling price of 10 pens is equal to cost price of 14 pens, find the gain percent.
Using the figures given below, frame problems based on profit percent or loss percent.
Seeds worth ₹ 20500, labour ₹ 9700, chemicals and fertilizers ₹ 5600, selling price ₹ 28640.
Find the unknowns x, y and z.
| Name of the item | Marked Price | Selling Price | Discount |
| LED TV | y | ₹ 11970 | 5% |
A branded Air-Conditioner (AC) has a marked price of ₹ 38000. There is a condition given for the customer.
Discount of 8% on the marked price but no free gifts. 
Somu bought a second hand bike for ₹ 28,000 and spent ₹ 2,000 on its repair. He sold it for ₹ 30,000. Find his profit or loss
Amutha marked her home product of pickle as ₹ 300 per pack. But she sold it for only ₹ 275 per pack. What was the discount offered by her per pack?
There is no profit or loss when
An electrician buys a used T.V. for ₹ 12,000 and a used Fridge for ₹ 11,000. After spending ₹ 1000 on repairing the T.V. and ₹ 1500 on painting the Fridge, he fixes up the M.P. of T.V. as ₹ 15,000 and that of Fridge as ₹ 15,500. If he gives ₹ 1000 discount on each find his profit or loss
A farmer bought a buffalo for ₹ 44000 and a cow for ₹ 18000. He sold the buffalo at a loss of 5% but made a profit of 10% on the cow. The net result of the transaction is ______.
If 20 lemons are bought for ₹ 10 and sold at 5 for three rupees, then ______ in the transaction is ______ %.
