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[Intermediate Learning] Quant - Ratio & Proportion and Profit & Loss-1

Q1:

1kg of tea and 4kg of sugar costs Rs. 88.20, but if the price of sugar is raised by 50% and tea by 10% they would cost Rs. 114.30. Find the price per kg of tea and sugar.

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Q2:

An object 1.6m long casts a shadow 1.4 m long. At the same time another object kept nearby casts a shadow 6.2 m long. Find length of second object.

Assume that the shadow of the object is directly proportional to the length of the object.

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Q3:

The sum of 3 numbers is 136. If the ratio between first and second is 2:3 and between second and third is 5:3; then the second number is-

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Q4:

a and b are in the same proportion as (12 – a) and (18 – b). If b = 15, then what is the value of a?

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Q5:

The cost of 400 sacks of rice, each at Rs 1212, together with dealer’s commission amount to Rs 5100. What is the percentage of profit of the dealer?

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Q6:

The ratio of the father’s age to the son’s age is 4 : 1. The product of their age is 196. What will be the ratio of their ages after 5 years?

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Q7:

Dev purchased some tattoos and sold them. He sold them at 12 tattoos for a rupee and had a loss of 20%.For how much amount should he sell 12 tattoos to earn a profit of 20%?

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Q8:

The government wants to know the number of brilliant students in town. A team selects three schools of town randomly, A, B, and C. Total brilliant students are 43. The ratio of boys to girls in A, B, and C are 5 : 3, 7: 2, and 5: 4 respectively. If the number of girls in schools B and C are equal then find the no. of girls in school B.

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Q9:

The ratio of the cost price to the selling price of an article is 20: 21. If the cost price of the article is decreased by 15% and selling price is increased by 20%, find the new profit percent? 

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Q10:

A farmer sold a cow and a calf for Rs.760 and got a profit of 10% on the cow and 25% on the calf. If he sells the cow and the calf for Rs.767.50 and gets a profit of 25% on the cow and 10% on the calf. Find the individual cost price of the cow and the calf.

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Q11:

If the cost of 9 chairs and 14 tables is ₹ 49650. What is the cost of 27 chairs and 42 tables? 

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Q12:

How much Choco Powder at Rs. 5 per kg should be added to 20 kg of milk powder at Rs. 12 per kg so that the mixture be worth Rs. 8.5 per kg?

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Q13:

Alice started a business investing Rs. 15000. After 2 months Ben joined her with a capital of Rs. 22,500. After another 2 months, Carlos joined them with a capital of Rs. 33,750. They made a profit of Rs. 6750 at the end of the year. Find the share of Ben.

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Q14:

If yz:zx:xy = 1 : 2 : 3, then find xyz  :  yzx.

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Q15:

A book is marked at 15% above the cost price and is sold at a discount of 5%. Find the profit percent.

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Q16:

What is the compound ratio of 2 : 3, 4 : 7 and 5 : 8?

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Q17:

While doing some calculations for a scientific experiment, a man multiplied a number by 35instead of53. Find the percentage error in the final result?

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Q18:

Rahul purchases a scooter at  of its marked price and sold it at 12% more than its marked price. Find his gain percentage. 

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