type 9 coins & rupees based ratio & proportion problems Section-Wise Topic Notes With Detailed Explanation And Example Questions

Answer: (c)

Ratio of the number of coins of Re. 1, 50 paise and 25 paise

= 3 : 8 : 20

Ratio of the values of these coins

= $3 : 8/2 : 20/4$ = 3 : 4 : 5

Value of 1 rupee coins

= $3/12 × $372 = Rs.93

Value of 50 paise coins

= $4/12 × 372$ = Rs.124

Value of 25 paise coins

= $5/12$ × 372 = Rs.155

Number of coins

= 93 + 124 × 2 + 155 × 4

= 93 + 248 + 620 = 961

Answer: (c)

Ratio of values of 50 paise, 25 paise and 10 paise coins

= $2/2 : 3/4 : 5/10$

= $1 : 3/4 : 1/2$ = 4 : 3 : 2

Sum of the ratios = 4 + 3 + 2 = 9 Value of 25 paise coins

= $3/9 × 90$ = Rs.30

Number of 25 paise coins

= 30 × 4 = 120

Answer: (a)

Ratio of the number of coins

= 8 : 5 : 3

Ratio of their values

= $8 : 5/2 : 3/4$ = 32 : 10 : 3

Sum of the ratios

= 32 + 10 + 3 = 45

Value of one rupee coins

= $32/45 × 225$ = Rs.160

Number of one rupee coins = 160

Answer: (c)

Number of 1-rupee coins = x

Number of 50 paise coins = 4x

Number of 25 paise coins = 2x

Ratio of their values

= $x : {4x}/2 : {2x}/4$ = 2 : 4 : 1

Value of 50-paise coins

= $4/7 × 56$ = Rs.32

Their number = 32 × 2 = 64

(x )(1)+(4x ) $(1/2)+(2x)(1/4)$= 56

x + 2x + $1/2$x =56

$x = 56 × 2/7$ =16

No. of 50p coins

= 4 × 16 = 64.