Advertisements
Advertisements
Question
I have a total of Rs 300 in coins of denomination Re 1, Rs 2 and Rs 5. The number of Rs 2 coins is 3 times the number of Rs 5 coins. The total number of coins is 160. How many coins of each denomination are with me?
Advertisements
Solution
Let the number of Rs 5 coins be x.
Number of Rs 2 coins = 3 × Number of Rs 5 coins = 3x
Number of Re 1 coins = 160 − (Number of coins of Rs 5 and of Rs 2)
= 160 − (3x + x) = 160 − 4x
Amount of Re 1 coins = Rs [1 × (160 − 4x)] = Rs (160 − 4x)
Amount of Rs 2 coins = Rs (2 × 3x)= Rs 6x
Amount of Rs 5 coins = Rs (5 × x) = Rs 5x
It is given that the total amount is Rs 300.
∴ 160 − 4x + 6x + 5x = 300
160 + 7x = 300
On transposing 160 to R.H.S, we obtain
7x = 300 − 160
7x = 140
On dividing both sides by 7, we obtain
`(7x)/7 = 140/4`
x = 20
Number of Re 1 coins = 160 − 4x = 160 − 4 × 20 = 160 − 80 = 80
Number of Rs 2 coins = 3x = 3 × 20 = 60
Number of Rs 5 coins = x = 20
RELATED QUESTIONS
Three consecutive integers add up to 51. What are these integers?
The number of boys and girls in a class are in the ratio 7:5. The number of boys is 8 more than the number of girls. What is the total class strength?
The perimeter of a rectangle is 13 cm and its width is `2 3/4` cm. Find its length.
The difference between two whole numbers is 66. The ratio of the two numbers is 2: 5. What are the two numbers?
The sum of two consecutive multiples of 10 is 210. The smaller multiple is ______.
Sum of the ages of Anju and her mother is 65 years. If Anju’s present age is y years then her mother’s age before 5 years is (60 – y) years.
Anima left one-half of her property to her daughter, one-third to her son and donated the rest to an educational institute. If the donation was worth Rs. 1,00,000, how much money did Anima have?
Kusum buys some chocolates at the rate of Rs. 10 per chocolate. She also buys an equal number of candies at the rate of Rs. 5 per candy. She makes a 20% profit on chocolates and 8% profit on candies. At the end of the day, all chocolates and candies are sold out and her profit is Rs. 240. Find the number of chocolates purchased.
Distance between two places A and B is 210 km. Two cars start simultaneously from A and B in opposite direction and distance between them after 3 hours is 54 km. If speed of one car is less than that of other by 8 km/hr, find the speed of each.
On dividing Rs. 200 between A and B such that twice of A’s share is less than 3 times B’s share by 200, B’s share is?
