Question

11. In Spandan's piggy bank there are
coins of Rs. 10, Rs. 5, Rs. 2 and
Re. 1 in the ratio of 2 : 3:5:10 that
amounts to Rs.825 in all. What is the
total number of coins in Spandan's
piggy bank ?
(1) 255
(2) 270
(3) 300​

Answer 1

Answer:

3

Step-by-step explanation:

10*30=300

5*45=225

2*75=150

1*150=150

300+225+150+150=825

Answer 2

The correct option is '(3) 300'

Step-by-step explanation:

Given,

The ratio of coins of Rs. 10, Rs. 5, Rs. 2 and  Rs. 1 = 2 : 3 : 5 : 10

Let rs 10 coins = 2x,

rs 5 coins = 3x,

rs 2 coins = 5x,

rs 1 coins = 10x,

Where,

x is any positive real number.

∵ Amount = number of coins × value of each coin,

Thus, total amount = 2x × 10 + 3x × 5 + 5x × 2 + 10x × 1

= 20x + 15x + 10x + 10x

= 55x

According to the question,

55x = 825

$\implies x =\frac{825}{55}=15$

Hence, total coins = 2x + 3x + 5x + 10x = 20x = 20(15) = 300

#Learn more :

A bag contains some Re 1,Rs 2 and Rs 5 coins in the ratio 8:5:3.If the total value of the coins was Rs 330,find the number of Rs 2 coins?

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