6000 is answer

5 votes

Ten friends planned to share equally the cost of buying a gift for their teacher. When two of them decided not to contribute, each of the other friends had to pay Rs. $150$ more. The cost of the gift was Rs. ____

- $666$
- $3000$
- $6000$
- $12000$

20 votes

Best answer

Let us suppose each of the $10$ friends were supposed to contribute Rs $x$.

Hence total cost for gift $= \text{Rs } 10 x$.

Now since $2$ friends won't contribute , hence $8$ friends would have to contribute $(x+150)$ each.

By the sum,

$10x = 8x+1200$

$2x= 1200$

$x= 600$

Hence total cost of the gift $= 10x = \text{Rs. }6000$

Hence total cost for gift $= \text{Rs } 10 x$.

Now since $2$ friends won't contribute , hence $8$ friends would have to contribute $(x+150)$ each.

By the sum,

$10x = 8x+1200$

$2x= 1200$

$x= 600$

Hence total cost of the gift $= 10x = \text{Rs. }6000$

3 votes

Friend Name |
$A$ | $B$ | $C$ | $D$ | $E$ | $F$ | $G$ | $H$ | $I$ | $J$ | ${\color{Blue} {TOTAL\ MONEY}}$ |

Money Contributed |
$x$ | $x$ | $x$ | $x$ | $x$ | $x$ | $x$ | $x$ | $x$ | $x$ | $10x$ |

** I** and **J** didn't gave the money

Friend Name |
$A$ | $B$ | $C$ | $D$ | $E$ | $F$ | $G$ | $H$ | ${\color{red} {TOTAL\ MONEY}}$ |

Money Contributed |
$x+150$ | $x+150$ | $x+150$ | $x+150$ | $x+150$ | $x+150$ | $x+150$ | $x+150$ | $8(x+150)$ |

**${\color{Blue} {TOTAL\ MONEY}}$** = **${\color{red} {TOTAL\ MONEY}}$**

$\Rightarrow\ 10x\ =\ 8(x+150)$

$\Rightarrow\ 10x\ =\ 8x + 1200$

$\Rightarrow\ 2x\ =\ 1200$

$\Rightarrow\ x\ =\ 600$

so , **TOTAL MONEY** $=10x=6000$

2 votes

Suppose each friend share equally cost= x

There are 10 friend so total cost =10x

Two not to decide contribute so 8 friends had to pay 150 more each

8x+150×8=10x

1200=2x

X=600 hence total cost of gift=10×600=6000

Answer C

There are 10 friend so total cost =10x

Two not to decide contribute so 8 friends had to pay 150 more each

8x+150×8=10x

1200=2x

X=600 hence total cost of gift=10×600=6000

Answer C

0 votes

Let x be the amount 1 person is contributing and y be the total amount

Now,

10(x) = y _________(1)

2(0) + 8(x+150) = y ___________(2)

8(x) + 1200 = 10(x)

=> 2(x) =1200

x = 600

therefore total amount, y = 10(x) = 6000

Now,

10(x) = y _________(1)

2(0) + 8(x+150) = y ___________(2)

8(x) + 1200 = 10(x)

=> 2(x) =1200

x = 600

therefore total amount, y = 10(x) = 6000